Existence of solutions to a diffusive shallow medium equation
From MaRDI portal
Publication:2021732
DOI10.1007/s00028-020-00604-yzbMath1462.35135arXiv2001.07942OpenAlexW3044284623WikidataQ117384929 ScholiaQ117384929MaRDI QIDQ2021732
Verena Bögelein, Matias Vestberg, Nicolas Dietrich
Publication date: 27 April 2021
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.07942
Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (6)
Existence of weak solutions to a general class of diffusive shallow medium type equations ⋮ Harnack's estimate for a mixed local-nonlocal doubly nonlinear parabolic equation ⋮ Stability for systems of porous medium type ⋮ Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements ⋮ Local boundedness of a mixed local-nonlocal doubly nonlinear equation ⋮ Existence of a sign-changing weak solution to doubly nonlinear parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation
- Existence and uniqueness of a regular solution of the Cauchy-Dirichlet problem for a class of doubly nonlinear parabolic equations
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Degenerate parabolic equations
- Doubly nonlinear equations of porous medium type
- Partial regularity of minimizers of quasiconvex integrals
- Compact sets in the space \(L^ p(0,T;B)\)
- Quasilinear elliptic-parabolic differential equations
- On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations
- Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
- Local boundedness of weak solutions to the diffusive wave approximation of the shallow water equations
- Existence of weak solutions of doubly nonlinear parabolic equations
- Local Hölder continuity of weak solutions to a diffusive shallow medium equation
- The higher integrability of weak solutions of porous medium systems
- Existence of evolutionary variational solutions via the calculus of variations
- Second order parabolic systems, optimal regularity, and singular sets of solutions
- On the diffusive wave approximation of the shallow water equations
- On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows
- Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients
This page was built for publication: Existence of solutions to a diffusive shallow medium equation