The Stefan problem and concavity
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Publication:2048893
DOI10.1007/s00526-021-02061-yzbMath1473.80009arXiv2004.04284OpenAlexW3187396029WikidataQ115386469 ScholiaQ115386469MaRDI QIDQ2048893
Publication date: 24 August 2021
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.04284
Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35) Qualitative properties of solutions to partial differential equations (35B99)
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Cites Work
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- Is quasi-concavity preserved by heat flow?
- Convexity breaking of the free boundary for porous medium equations
- Brownian motion in a convex ring and quasi-concavity
- Classical solutions of the Stefan problem
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- On convexity and starshapedness of level sets for some nonlinear elliptic and parabolic problems on convex rings
- Uniqueness and existence results on the Hele-Shaw and the Stefan problems
- All time \(C^\infty\)-regularity of the interface in degenerate diffusion: A geometric approach
- On a new kind of convexity for solutions of parabolic problems
- All Time Smooth Solutions of the One-Phase Stefan Problem and the Hele-Shaw Flow
- The smoothness of the free boundary in the one phase stefan problem
- The problem of optimal smoothing for convex functions
- On Space-Time Quasiconcave Solutions of the Heat Equation
- The Stefan Problem in Several Space Variables
- Counterexamples to Quasiconcavity for the Heat Equation