Evolutionary, symmetric \(p\)-Laplacian. Interior regularity of time derivatives and its consequences

DOI10.3934/cpaa.2016042zbMath1362.35160arXiv1509.07742OpenAlexW3121511437MaRDI QIDQ334519

Jan Burczak, Petr Kaplický

Publication date: 1 November 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07742

zbMATH Keywords

evolutionary systems of PDEsiteration in Nikolskii-Bochner spaceslocal (interior) regularity of time derivativessymmetric \(p\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear parabolic equations (35K59)

Related Items (10)

Obstacle problem for a class of parabolic equations of generalized \(p\)-Laplacian type ⋮ Higher differentiability for solutions of stationary p‐Stokes systems ⋮ \(\mathcal{A}\)-caloric approximation and partial regularity for parabolic systems with Orlicz growth ⋮ Temporal regularity of symmetric stochastic \(p\)-Stokes systems ⋮ Time regularity of generalized Navier-Stokes equation with $p(x,t)$-power law ⋮ Time regularity for parabolic \(p(x, t)\)-Laplacian system depending on the symmetric gradient ⋮ Parabolic p-Laplacian revisited: Global regularity and fractional smoothness ⋮ The Cauchy-Dirichlet problem for a general class of parabolic equations ⋮ Interior regularity of space derivatives to an evolutionary, symmetric \(\varphi\)-Laplacian ⋮ Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth

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