The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities
DOI10.1007/s00028-022-00835-1zbMath1498.35322OpenAlexW4295629181WikidataQ114231883 ScholiaQ114231883MaRDI QIDQ2082578
Salvador Moll, Flavia Smarrazzo
Publication date: 4 October 2022
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-022-00835-1
strong solutionsNeumann problemregularizing effectpseudoparabolic regularizationevolution of singular measures
Initial-boundary value problems for second-order parabolic equations (35K20) Singularity in context of PDEs (35A21) Singular parabolic equations (35K67) Quasilinear parabolic equations (35K59) PDEs with measure (35R06)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a nonlinear flux-limited equation arising in the transport of morphogens
- A strongly degenerate quasilinear equation: the parabolic case
- Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
- Hyperbolic phenomena in a strongly degenerate parabolic equation
- Pseudo solutions of the time-dependent minimal surface problem
- A boundary regularity result for minimizers of variational integrals with nonstandard growth
- On the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case
- Strong solutions to a parabolic equation with linear growth with respect to the gradient variable
- A variational approach to the denoising of images based on different variants of the TV-regularization
- A local estimate for vectorial total variation minimization in one dimension
- Radon measure-valued solutions for a class of quasilinear parabolic equations
- On the jump set of solutions of the total variation flow
- A relaxation result in BV for integral functionals with discontinuous integrands
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- A General Chain Rule for Distributional Derivatives
- On a Neumann problem for variational functionals of linear growth
- On a class of variational problems with linear growth and radial symmetry
- On the regularity of the total variation minimizers
- Globally Lipschitz minimizers for variational problems with linear growth
- Noncoercive diffusion equations with Radon measures as initial data
This page was built for publication: The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities
