Well posedness of sudden directional diffusion equations

DOI10.1002/mma.2759zbMath1280.35070arXiv1207.4929OpenAlexW1979600690MaRDI QIDQ2867878

Piotr Bogusław Mucha, Piotr Rybka

Publication date: 20 December 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4929

zbMATH Keywords

one space dimensionsolution conceptsconvex initial dataalmost classical solutionsflat regions of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular parabolic equations (35K67)

Related Items (5)

Motion by crystalline-like mean curvature: A survey ⋮ A note on a model system with sudden directional diffusion ⋮ Integrability of the derivative of solutions to a singular one-dimensional parabolic problem ⋮ Subdifferential decomposition of 1D-regularized total variation with nonhomogeneous coefficients ⋮ Crystalline flow starting from a general polygon

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