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
one space dimensionsolution conceptsconvex initial dataalmost classical solutionsflat regions of solutions
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)
Cites Work
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- Regular solutions to a monodimensional model with discontinuous elliptic operator
- Anisotropic total variation regularized \(L^1\) approximation and denoising/deblurring of 2D bar codes
- Degenerate parabolic equations
- The total variation flow in \(\mathbb R^N\)
- Total variation flow and sign fast diffusion in one dimension
- Crystalline mean curvature flow of convex sets
- Facet bending in the driven crystalline curvature flow in the plane
- The volume preserving crystalline mean curvature flow of convex sets in \(\mathbb R^N\)
- Pairings between measures and bounded functions and compensated compactness
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Quasilinear elliptic-parabolic differential equations
- Equations with singular diffusivity
- Evolving graphs by singular weighted curvature
- Parabolic quasilinear equations minimizing linear growth functionals
- Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow
- The anisotropic total variation flow
- A note on a model system with sudden directional diffusion
- A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs
- A caricature of a singular curvature flow in the plane
- Implicit Degenerate Evolution Equations and Applications
- Weakly Differentiable Functions
- Rotationally Symmetric 1-Harmonic Flows From $D^2$ to $S^2$: Local Well-Posedness and Finite Time Blowup
- The Dirichlet problem for the total variation flow
- On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets
- On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity
- Characterization of facet breaking for nonsmooth mean curvature flow in the convex case
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