Existence of weak solutions of doubly nonlinear parabolic equations

DOI10.1016/j.jmaa.2017.06.024zbMath1433.35183OpenAlexW2625469965MaRDI QIDQ2013119

Stefan Sturm

Publication date: 3 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.06.024

zbMATH Keywords

existencedegenerate and singular doubly nonlinear parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

Related Items (18)

Existence of weak solutions to a general class of diffusive shallow medium type equations ⋮ On a comparison principle for Trudinger's equation ⋮ An extensive study of the regularity of solutions to doubly singular equations ⋮ Geometric estimates for doubly nonlinear parabolic PDEs ⋮ Harnack's estimate for a mixed local-nonlocal doubly nonlinear parabolic equation ⋮ Lower semicontinuous obstacles for the porous medium equation ⋮ Local boundedness of weak solutions to the diffusive wave approximation of the shallow water equations ⋮ A variational approach to doubly nonlinear equations ⋮ Stability for systems of porous medium type ⋮ Existence of solutions to a diffusive shallow medium equation ⋮ Pointwise estimates via parabolic potentials for a class of doubly nonlinear parabolic equations with measure data ⋮ Higher integrability for doubly nonlinear parabolic systems ⋮ A new short proof of regularity for local weak solutions for a certain class of singular parabolic equations ⋮ Local Hölder continuity of weak solutions to a diffusive shallow medium equation ⋮ Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements ⋮ Local boundedness of a mixed local-nonlocal doubly nonlinear equation ⋮ Extinction in a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds ⋮ Existence of a sign-changing weak solution to doubly nonlinear parabolic equations

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