Regularity for parabolic equations with time dependent growth
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Publication:1622542
DOI10.1016/j.matpur.2018.04.003zbMath1406.35168OpenAlexW2800052833MaRDI QIDQ1622542
Publication date: 19 November 2018
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2018.04.003
Hölder continuitynonlinear parabolic \(p(\cdot)-Laplacian\)time dependent growthvariable exposent space
Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (7)
On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions ⋮ Regularity estimates for the parabolic \(p (x, t)\)-Laplacian equation in Besov spaces ⋮ Hölder estimates for the elliptic p(x)-Laplacian equation with the logarithmic function ⋮ Unified approach to \(C^{1, \alpha}\) regularity for quasilinear parabolic equations ⋮ On a class of nonlocal evolution equations with the \(p[\nabla u\)-Laplace operator] ⋮ Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity ⋮ Local Hölder regularity for the general non-homogeneous parabolic equations
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