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Surface Evolution Equations --- a level set method ---
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Deforming a hypersurface by its Gauss‐Kronecker curvature
inferredcites →https://doi.org/10.1002/cpa.3160410105openalex-snapshot
Nonlinear second‐order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
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On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's
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Phase transitions and generalized motion by mean curvature
inferredcites →https://doi.org/10.1006/jdeq.1993.1015openalex-snapshot
Motion of a Set by the Curvature of Its Boundary
inferredcites →https://doi.org/10.1006/jdeq.1993.1100openalex-snapshot
Fully Non-linear Neumann Type Boundary Conditions for Second-Order Elliptic and Parabolic Equations
inferredcites →https://doi.org/10.1006/jdeq.1995.1084openalex-snapshot
Anisotropic Motion of an Interface Relaxed by the Formation of Infinitesimal Wrinkles
inferredcites →https://doi.org/10.1006/jdeq.1998.3568openalex-snapshot
Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications
inferredcites →https://doi.org/10.1006/jfan.1994.1004openalex-snapshot
On Affine Plane Curve Evolution
inferredcites →https://doi.org/10.1007/0-387-31071-1openalex-snapshot
Controlled Markov Processes and Viscosity Solutions
inferredcites →https://doi.org/10.1007/978-0-8176-4755-1openalex-snapshot
Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations
inferredcites →https://doi.org/10.1007/978-1-4612-4078-5openalex-snapshot
Models of Phase Transitions
inferredcites →https://doi.org/10.1007/978-1-4612-5700-4openalex-snapshot
A Short Introduction to Perturbation Theory for Linear Operators
inferredcites →https://doi.org/10.1007/978-3-0348-0557-5openalex-snapshot
Analytic Semigroups and Optimal Regularity in Parabolic Problems
inferredcites →https://doi.org/10.1007/978-3-642-59938-5_7openalex-snapshot
Multiphase Thermomechanics with Interfacial Structure 1. Heat Conduction and the Capillary Balance Law
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/bf00281780openalex-snapshot
The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
inferredcites →https://doi.org/10.1007/bf00375127openalex-snapshot
Axioms and fundamental equations of image processing
inferredcites →https://doi.org/10.1007/bf00375406openalex-snapshot
The Dirichlet problem for the prescribed curvature equations
inferredcites →https://doi.org/10.1007/bf00377658openalex-snapshot
Interacting particle systems and generalized evolution of fronts
inferredcites →https://doi.org/10.1007/bf00386194openalex-snapshot
Convergence of the phase-field equations to the mullins-sekerka problem with kinetic undercooling
inferredcites →https://doi.org/10.1007/bf01041068openalex-snapshot
Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface
inferredcites →https://doi.org/10.1007/bf01189949openalex-snapshot
Existence of selfsimilar shrinking curves for anisotropic curvature flow equations
inferredcites →https://doi.org/10.1007/bf01191340openalex-snapshot
Contraction of convex hypersurfaces in Euclidean space
inferredcites →https://doi.org/10.1007/bf01205007openalex-snapshot
Implicit time discretization for the mean curvature flow equation
inferredcites →https://doi.org/10.1007/bf01206960openalex-snapshot
On a lower bound for the extinction time of surfaces moved by mean curvature
inferredcites →https://doi.org/10.1007/bf02364944openalex-snapshot
On a class of equations of monge-ampere type
inferredcites →https://doi.org/10.1007/bf02392544openalex-snapshot
The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
inferredcites →https://doi.org/10.1007/bf02392946openalex-snapshot
Convexity estimates for mean curvature flow and singularities of mean convex surfaces
inferredcites →https://doi.org/10.1007/bf02921385openalex-snapshot
Motion of level sets by mean curvature III
inferredcites →https://doi.org/10.1007/bf02921628openalex-snapshot
Ginzburg-Landau equation and motion by mean curvature, I: Convergence
inferredcites →https://doi.org/10.1007/bf02921629openalex-snapshot
Ginzburg-Landau equation and motion by mean curvature, II: Development of the initial interface
inferredcites →https://doi.org/10.1007/bf02921677openalex-snapshot
Generalized motion by mean curvature with Neumann conditions and the Allen-Cahn model for phase transitions
inferredcites →https://doi.org/10.1007/bf02921800openalex-snapshot
Mean curvature flow through singularities for surfaces of rotation
inferredcites →https://doi.org/10.1007/bfb0094293openalex-snapshot
Viscosity Solutions and Applications
inferredcites →https://doi.org/10.1007/s002050050075openalex-snapshot
Evolving Graphs by Singular Weighted Curvature
inferredcites →https://doi.org/10.1007/s002050050077openalex-snapshot
A New Approach to Front Propagation Problems: Theory and Applications
inferredcites →https://doi.org/10.1007/s002050100154openalex-snapshot
Generalized Motion¶by Nonlocal Curvature in the Plane
inferredcites →https://doi.org/10.1007/s002110050228openalex-snapshot
Convergent difference schemes for nonlinear parabolic equations and mean curvature motion
inferredcites →https://doi.org/10.1016/0001-6160(79)90196-2openalex-snapshot
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
inferredcites →https://doi.org/10.1016/0021-9991(88)90002-2openalex-snapshot
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
inferredcites →https://doi.org/10.1016/0022-0248(77)90367-0openalex-snapshot
A generalized kinetic equation for crystal growth
inferredcites →https://doi.org/10.1016/0022-0396(90)90068-zopenalex-snapshot
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
inferredcites →https://doi.org/10.1016/0022-0396(91)90147-2openalex-snapshot
Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
inferredcites →https://doi.org/10.1016/0036-9748(74)90074-xopenalex-snapshot
A vector thermodynamics for anisotropic surfaces II. Curved and faceted surfaces
inferredcites →https://doi.org/10.1016/0956-7151(92)90090-2openalex-snapshot
Overview No. 98 I—Geometric models of crystal growth
inferredcites →https://doi.org/10.1016/0956-7151(92)90091-ropenalex-snapshot
II—mean curvature and weighted mean curvature
inferredcites →https://doi.org/10.1051/m2an/1987210405571openalex-snapshot
Discontinuous solutions of deterministic optimal stopping time problems
inferredcites →https://doi.org/10.1063/1.1722511openalex-snapshot
Two-Dimensional Motion of Idealized Grain Boundaries
inferredcites →https://doi.org/10.1080/03605309308820954openalex-snapshot
Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature
inferredcites →https://doi.org/10.1080/03605309508821158openalex-snapshot
A Computed example of nonuniqueness of mean curvature flow in R3
inferredcites →https://doi.org/10.1080/03605309908821419openalex-snapshot
Stability for evolving graphs by nonlocal weighted curvature
inferredcites →https://doi.org/10.1090/conm/226/03241openalex-snapshot
Self-similar solutions of Gauss curvature flows
inferredcites →https://doi.org/10.1090/s0002-9904-1978-14499-1openalex-snapshot
Crystalline variational problems
inferredcites →https://doi.org/10.1090/s0002-9947-1983-0690039-8openalex-snapshot
Viscosity solutions of Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0732102-xopenalex-snapshot
Some properties of viscosity solutions of Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1090/s0002-9947-1992-1068927-8openalex-snapshot
Motion of Level Sets by Mean Curvature. II
inferredcites →https://doi.org/10.1090/s0002-9947-1995-1672406-7openalex-snapshot
Geometrical evolution of developed interfaces
inferredcites →https://doi.org/10.1090/s0273-0979-1992-00266-5openalex-snapshot
User’s guide to viscosity solutions of second order partial differential equations
inferredcites →https://doi.org/10.1090/s0894-0347-00-00338-6openalex-snapshot
The size of the singular set in mean curvature flow of mean-convex sets
inferredcites →https://doi.org/10.1090/s0894-0347-02-00406-xopenalex-snapshot
The nature of singularities in mean curvature flow of mean-convex sets
inferredcites →https://doi.org/10.1093/oso/9780198536949.001.0001openalex-snapshot
Thermomechanics of Evolving Phase Boundaries in the Plane
inferredcites →https://doi.org/10.1103/physrevlett.49.1223openalex-snapshot
Universal Scaling in the Motion of Random Interfaces
inferredcites →https://doi.org/10.1137/0324032openalex-snapshot
Optimal Control with State-Space Constraint I
inferredcites →https://doi.org/10.1137/0326063openalex-snapshot
Exit Time Problems in Optimal Control and Vanishing Viscosity Method
inferredcites →https://doi.org/10.1137/0331020openalex-snapshot
Curvature-Driven Flows: A Variational Approach
inferredcites →https://doi.org/10.1137/0331021openalex-snapshot
Front Propagation and Phase Field Theory
inferredcites →https://doi.org/10.1137/0523043openalex-snapshot
Global Existence of Weak Solutions for Interface Equations Coupled with Diffusion Equations
inferredcites →https://doi.org/10.1137/0732020openalex-snapshot
A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
inferredcites →https://doi.org/10.1137/0732041openalex-snapshot
Convergence of a Crystalline Algorithm for the Motion of a Simple Closed Convex Curve by Weighted Curvature
inferredcites →https://doi.org/10.1137/s0036141097317347openalex-snapshot
Regularity and Convergence of Crystalline Motion
inferredcites →https://doi.org/10.1137/s0036141097320675openalex-snapshot
The Surface Diffusion Flow for Immersed Hypersurfaces
inferredcites →https://doi.org/10.1215/s0012-7094-85-05242-1openalex-snapshot
Neumann type boundary conditions for Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1215/s0012-7094-87-05521-9openalex-snapshot
Perron’s method for Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1215/s0012-7094-89-05825-0openalex-snapshot
A short note on the evolution of a surface by its mean curvature
inferredcites →https://doi.org/10.1215/s0012-7094-93-07216-xopenalex-snapshot
Evolving plane curves by curvature in relative geometries
inferredcites →https://doi.org/10.1353/ajm.1996.0023openalex-snapshot
Stability of stationary interfaces with contact angle in a generalized mean curvature flow
inferredcites →https://doi.org/10.14492/hokmj/1381412492openalex-snapshot
Motion of a graph by convexified energy
inferredcites →https://doi.org/10.14492/hokmj/1381413103openalex-snapshot
The symmetric \textquotedblleft doughnut \textquotedblright evolving by its mean curvature
inferredcites →https://doi.org/10.14943/83291openalex-snapshot
Interface evolution with Neumann boundary condition
inferredcites →https://doi.org/10.14943/83405openalex-snapshot
A Stable Difference Scheme for Computing Motion of Level Surfaces by the Mean Curvature
inferredcites →https://doi.org/10.14943/83415openalex-snapshot
Evolving curves with boundary conditions
inferredcites →https://doi.org/10.14943/83625openalex-snapshot
Crystalline and level set flow - Convergence of a crystalline algorithm for a general anisotropic curvature flow in the plane
inferredcites →https://doi.org/10.1512/iumj.1999.48.1273openalex-snapshot
A convexity theorem for a class of anisotropic flows of plane curves
inferredcites →https://doi.org/10.2140/pjm.2000.195.1openalex-snapshot
Motion of hypersurfaces by Gauss curvature
inferredcites →https://doi.org/10.2307/1971480openalex-snapshot
Interior a Priori Estimates for Solutions of Fully Non-Linear Equations
inferredcites →https://doi.org/10.2748/tmj/1178225593openalex-snapshot
Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
inferredcites →https://doi.org/10.2969/jmsj/04410099openalex-snapshot
Motion of hypersurfaces and geometric equations
inferredcites →https://doi.org/10.2969/jmsj/05120267openalex-snapshot
Threshold dynamics type approximation schemes for propagating fronts
inferredcites →https://doi.org/10.3792/pjaa.66.252openalex-snapshot
Comparison principle for singular degenerate elliptic equations on unbounded domains
inferredcites →https://doi.org/10.3792/pjaa.67.323openalex-snapshot
Remarks on viscosity solutions for evolution equations
inferredcites →https://doi.org/10.3792/pjaa.70.252openalex-snapshot
Selfsimilar shrinking curves for anisotropic curvature flow equations
inferredcites →https://doi.org/10.4171/ifb/15openalex-snapshot
Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow
inferredcites →https://doi.org/10.4310/jdg/1214438998openalex-snapshot
Flow by mean curvature of convex surfaces into spheres
inferredcites →https://doi.org/10.4310/jdg/1214439724openalex-snapshot
Deforming convex hypersurfaces by the $n$th root of the Gaussian curvature
inferredcites →https://doi.org/10.4310/jdg/1214439902openalex-snapshot
The heat equation shrinking convex plane curves
inferredcites →https://doi.org/10.4310/jdg/1214441371openalex-snapshot
The heat equation shrinks embedded plane curves to round points
inferredcites →https://doi.org/10.4310/jdg/1214444099openalex-snapshot
Asymptotic behavior for singularities of the mean curvature flow
inferredcites →https://doi.org/10.4310/jdg/1214446559openalex-snapshot
Motion of level sets by mean curvature. I
inferredcites →https://doi.org/10.4310/jdg/1214446564openalex-snapshot
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
inferredcites →https://doi.org/10.4310/jdg/1214454300openalex-snapshot
Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
inferredcites →https://doi.org/10.4310/jdg/1214458106openalex-snapshot
Contraction of convex hypersurfaces by their affine normal
inferredcites →https://doi.org/10.4310/jdg/1214458529openalex-snapshot
Level set approach to mean curvature flow in arbitrary codimension
inferredcites →https://doi.org/10.4310/jdg/1214458973openalex-snapshot
Global asymptotic limit of solutions of the Cahn-Hilliard equation
inferredcites →https://doi.org/10.57262/ade/1366896314openalex-snapshot
Degenerate parabolic PDEs with discontinuities and generalized evolutions of surfaces
inferredcites →https://doi.org/10.57262/die/1367846897openalex-snapshot
Capillary problem for singular degenerate parabolic equations on a half space
inferredcites →https://doi.org/10.57262/die/1368397750openalex-snapshot
$\Gamma$-convergence, minimizing movements and generalized mean curvature evolution
inferredcites →https://doi.org/10.57262/die/1369330432openalex-snapshot
Generalized motion of hypersurfaces whose growth speed depends superlinearly on the curvature tensor
inferredcites →https://doi.org/10.57262/die/1370019752openalex-snapshot
Neumann problem for singular degenerate parabolic equations
inferredcites →https://doi.org/10.57262/die/1370019755openalex-snapshot
Singular degenerate parabolic equations with applications to geometric evolutions
inferredcites →https://doi.org/10.57262/die/1379101975openalex-snapshot
The maximum principle for semicontinuous functions
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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A deterministic‐control‐based approach motion by curvature
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Finslerian extensions of geodesic active fields for digital image registration
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Numerical Modeling of Disk Dissolution in Melt During Gas Blowing
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Mathematics for Nonlinear Phenomena — Analysis and Computation
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Geometric Curve Evolution and Image Processing
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The curve shortening problem under Robin boundary condition
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On the evolution governed by the infinity Laplacian
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A scheme for the game p-Laplacian and its application to image inpainting
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Sparse field level set method for non-convex Hamiltonians in 3D plasma etching profile simulations
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Regularity of weak constant anisotropic mean curvature surfaces
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An Hopf–Lax formula for a class of measurable Hamilton–Jacobi equations
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Total variation and level set methods in image science
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Comparison Principle for Viscosity Solutions of Fully Nonlinear, Degenerate Elliptic Equations
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On the solvability of the characteristic Dirichlet problem for linear degenerate parabolic equations
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Fast Semi-Lagrangian Schemes for the Eikonal Equation and Applications
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Global Existence Results and Uniqueness for Dislocation Equations
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A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
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Mathematical study on the thickened interface model by viscosity solution of the level-set equation
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A numerical study of anisotropic crystal growth with bunching under very singular vertical diffusion
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Finslerian-type GAF extensions of the Riemannian framework in digital image processing
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Anisotropic image evolution of Synge-Beil type
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A Beginner's Guide to the Theory of Viscosity Solutions
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Approximation schemes for non-linear second order equations on the Heisenberg group
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A note on quasilinear equations with fractional diffusion
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A local regularity theorem for mean curvature flow
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Convergence of a large time-step scheme for mean curvature motion
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Effective motion of a curvature-sensitive interface through a heterogeneous medium
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Level Set Methods and Their Applications in Image Science
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Existence and uniqueness results for linear second-order equations in the Heisenberg group
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Solving singular evolution problems in sub-Riemannian groups via deterministic games
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