Existence and fractional regularity of solutions for a doubly nonlinear differential inclusion

DOI10.1007/s00028-013-0189-zzbMath1275.35058OpenAlexW2056672634MaRDI QIDQ370949

Luís H. de Miranda, José Luiz Boldrini, Gabriela Planas

Publication date: 20 September 2013

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-013-0189-z

zbMATH Keywords

Galerkin methodmaximal monotone operatorNikolskii space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs with multivalued right-hand sides (35R70) Degenerate parabolic equations (35K65) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (4)

Regularity theory for a class of quasilinear equations ⋮ Parabolic p-Laplacian revisited: Global regularity and fractional smoothness ⋮ On the fractional regularity for degenerate equations with \((p,q)\)-growth ⋮ A mathematical analysis of fluid motion in irreversible phase transitions

Cites Work

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• Doubly nonlinear evolution equations with non-monotone perturbations in reflexive Banach spaces
• Global regularity in fractional order Sobolev spaces for \(p\)-Laplace equation on polyhedral domains
• Doubly nonlinear evolution equations governed by time-dependent subdifferentials in reflexive Banach spaces
• Well-posedness and long-time behavior for a class of doubly nonlinear equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Existence theorems for a class of two points boundary problems
• Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions
• Global existence for a class of generalized systems for irreversible phase changes
• On a special Schauder basis for the Sobolev spaces \(W_ 0^{1,p}(\Omega)\)
• On singular Navier-Stokes equations and irreversible phase transitions
• Global stress regularity of convex and some nonconvex variational problems
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• On A Class Of Doubly Nonlinear Evolution Equations
• Régularité de la solution d'un problème aux limites non linéaires
• A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
• Variational Methods
• Global Regularity in Sobolev Spaces for Elliptic Problems with p-structure on Bounded Domains

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