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When are the spatial level surfaces of solutions of diffusion equations invariant with respect to the time variable?
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jmaa.1994.1123openalex-snapshot
Movement of Hot Spots over Unbounded Domains in RN
inferredcites →https://doi.org/10.1007/978-0-8176-4552-6openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-1-4612-1015-3openalex-snapshot
Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/978-1-4899-2840-5openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.1007/b97427openalex-snapshot
An Introduction to Partial Differential Equations
inferredcites →https://doi.org/10.1007/bf00249681openalex-snapshot
Stability of the separable solution for fast diffusion
inferredcites →https://doi.org/10.1007/bf00250468openalex-snapshot
A symmetry problem in potential theory
inferredcites →https://doi.org/10.1007/bf01261177openalex-snapshot
Stabilization of solutions of the filtration equation with absorption and non-linear flux
inferredcites →https://doi.org/10.1007/bf02796149openalex-snapshot
Matzoh ball soup: A symmetry result for the heat equation
inferredcites →https://doi.org/10.1007/bfb0087442openalex-snapshot
Critical Point Theory and Submanifold Geometry
inferredcites →https://doi.org/10.1016/0016-0032(65)90278-4openalex-snapshot
Partial differential equations of parabolic type
inferredcites →https://doi.org/10.1016/0022-0396(81)90065-6openalex-snapshot
Large time behaviour of solutions of the porous medium equation in bounded domains
inferredcites →https://doi.org/10.1016/0022-0396(84)90024-xopenalex-snapshot
A positivity property of solutions of nonlinear diffusion equations
inferredcites →https://doi.org/10.1016/0362-546x(83)90092-5openalex-snapshot
Continuity of solutions of a singular parabolic equation
inferredcites →https://doi.org/10.1017/s030821050002878xopenalex-snapshot
Symmetry and convergence properties for non-negative solutions of nonautonomous reaction–diffusion problems
inferredcites →https://doi.org/10.1080/00036819108840008openalex-snapshot
Characterizing spheres by functional relations on solutions of elliptic and parabolic equations
inferredcites →https://doi.org/10.1080/03605309108820777openalex-snapshot
Behavior Near t=0 for Solutions of the Dirichlet Problem foru(t)= δφ(u)−f(u)in Bounded Domains
inferredcites →https://doi.org/10.1090/conm/063/876329openalex-snapshot
Some inverse problems of potential theory
inferredcites →https://doi.org/10.1090/pspum/027.1/0423260openalex-snapshot
Élie Cartan’s work on isoparametric families of hypersurfaces
inferredcites →https://doi.org/10.1090/s0002-9904-1969-12260-3openalex-snapshot
Book Review: Linear and quasilinear elliptic equations
inferredcites →https://doi.org/10.1090/s0002-9947-1990-1000330-7openalex-snapshot
The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders
inferredcites →https://doi.org/10.1112/jlms/s2-42.2.339openalex-snapshot
Solutions of the One-Dimensional Porous Medium Equation are Determined by Their Free Boundary
inferredcites →https://doi.org/10.1137/0516033openalex-snapshot
The Number of Peaks of Positive Solutions of Semilinear Parabolic Equations
inferredcites →https://doi.org/10.1137/1006013openalex-snapshot
A Physical Characterization of a Sphere
inferredcites →https://doi.org/10.1201/9781003105183-1openalex-snapshot
Introduction of Partial Differential Equations
inferredcites →https://doi.org/10.1515/crll.1988.390.79openalex-snapshot
The zero set of a solution of a parabolic equation.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-031-39916-9_5openalex-snapshot
Homogeneous Hypersurfaces in Symmetric Spaces
inferred← citeshttps://doi.org/10.1007/s00220-006-0069-2openalex-snapshot
A Geometric Approach to the Classification of the Equilibrium Shapes of Self-Gravitating Fluids
inferred← citeshttps://doi.org/10.1007/s10231-013-0334-xopenalex-snapshot
Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies
inferred← citeshttps://doi.org/10.1016/j.na.2008.01.034openalex-snapshot
Symmetry for an overdetermined boundary problem in a punctured domain
inferred← citeshttps://doi.org/10.1016/j.na.2015.06.022openalex-snapshot
The Matzoh Ball Soup Problem: A complete characterization
inferred← citeshttps://doi.org/10.1137/s003614109834257xopenalex-snapshot
Behavior of Solutions Near the Flat Hats of Stationary Solutions for a Degenerate Parabolic Equation
inferred← citeshttps://doi.org/10.1512/iumj.2007.56.3150openalex-snapshot
Stationary isothermic surfaces for unbounded domains
inferred← citeshttps://doi.org/10.2307/3597287openalex-snapshot
Matzoh Ball Soup: Heat Conductors with a Stationary Isothermic Surface
inferred← citeshttps://doi.org/10.48550/arxiv.0807.4213openalex-snapshot
Matzoh ball soup in spaces of constant curvature
inferred← citeshttps://doi.org/10.48550/arxiv.1603.04004openalex-snapshot
Two-phase heat conductors with a stationary isothermic surface
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