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Maximal regularity for a free boundary problem

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
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Theory of Function Spaces III
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Maximum Principles in Differential Equations
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Functional Calculus of Pseudo-Differential Boundary Problems
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Theory of Function Spaces
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Theory of Function Spaces II
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Linear and Quasilinear Parabolic Problems
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Elliptic Partial Differential Equations of Second Order
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Elliptic Partial Differential Equations of Second Order
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Introduction to Modeling of Transport Phenomena in Porous Media
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On the spectral theory of elliptic differential operators. I
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Strongly continuous dual semigroups
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Equations d'évolution abstraites non linéaires de type parabolique
inferredcites →https://doi.org/10.1007/bf02571805openalex-snapshot
Nonlinear elliptic systems with dynamic boundary conditions
inferredcites →https://doi.org/10.1007/bf03167185openalex-snapshot
Unsteady flow in porous media with a free surface
inferredcites →https://doi.org/10.1016/0362-546x(82)90062-1openalex-snapshot
Analyticity of the maximal solution of an abstract nonlinear parabolic equation
inferredcites →https://doi.org/10.1016/0362-546x(88)90073-9openalex-snapshot
Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
inferredcites →https://doi.org/10.1017/s0308210500023945openalex-snapshot
Evolution equations with dynamic boundary conditions
inferredcites →https://doi.org/10.1017/s0308210500024598openalex-snapshot
Nonlinear analytic semiflows
inferredcites →https://doi.org/10.1061/jyceaj.0003012openalex-snapshot
Vertical Recharge of Unconfined Aquifer
inferredcites →https://doi.org/10.1137/0521020openalex-snapshot
The Stefan Problem with a Kinetic Condition at the Free Boundary

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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The Mullins–Sekerka problem via the method of potentials
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An Introduction to Parabolic Moving Boundary Problems
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Analyticity of the interface in a free boundary problem
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A 2-D free boundary problem with onset of a phase and singular elliptic boundary value problems
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Analyticity of Solutions to Nonlinear Parabolic Equations on Manifolds and an Application to Stokes Flow
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Well-Posedness and Stability Results for Some Periodic Muskat Problems
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Regularity and symmetry properties of rotational solitary water waves
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Geometric flows for quadrature identities
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Free boundary value problems for abstract elliptic equations and applications
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Stability analysis of a multi-layer tumor model with free boundary
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Well-posedness and stability of a free boundary problem modeling the growth of multi-layer tumors
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Asymptotic behavior of solutions of a free boundary problem modeling tumor spheroid with Gibbs–Thomson relation
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A new reformulation of the Muskat problem with surface tension
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Stabilization of free surface flows in periodic porous media
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Local existence of classical solutions to first-order parabolic equations describing free boundaries
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Stability of the equilibria for spatially periodic flows in porous media
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Chapter 5 Nonlinear parabolic equations and systems
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On Stokes flow driven by surface tension in the presence of a surfactant
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On periodic Stokesian Hele-Shaw flows with surface tension
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Stability of self-similar extinction solutions for a 3D Darcy flow suction problem
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Smooth solutions to a class of free boundary parabolic problems
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Viscous displacement in porous media: the Muskat problem in 2D
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Large time behaviour of Hele-Shaw flow with injection or suction for perturbations of balls in RN
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MOVING STONE IN THE HELE‐SHAW FLOW
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Existence and Stability Results for Periodic Stokesian Hele–Shaw Flows
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Classical Solutions of Multidimensional Hele--Shaw Models
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Free Boundary Value Problems for Abstract Elliptic Equations and Applications
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The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results
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The nonlocal fractional mean curvature flow of periodic graphs
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Long-time asymptotics of Hele–Shaw flow for perturbed balls with injection and suction
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A moving boundary problem for periodic Stokesian Hele–Shaw flows
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On the blow-up mechanism of moving boundary problems
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Non-Trivial Self-Similar Extinction Solutions for a 3D Hele–Shaw Suction Problem
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On Hele-Shaw models with surface tension
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Classical solutions for Hele-Shaw models with surface tension
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