Regularity of solutions of certain parabolic system with nonstandard growth condition

DOI10.1007/BF02560201zbMath0909.35076OpenAlexW1983854138MaRDI QIDQ4397376

Jiangsheng You

Publication date: 17 March 1999

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02560201

zbMATH Keywords

degenerate equationsMoser iterationsingular equationsHölder continuity of the gradientCampanato space estimateintegral oscillation estimates

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Continuation and prolongation of solutions to PDEs (35B60) Second-order parabolic systems (35K40)

Related Items (6)

Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth ⋮ Parabolic equations with \(p,q\)-growth ⋮ \(\mathcal{A}\)-caloric approximation and partial regularity for parabolic systems with Orlicz growth ⋮ Hölder estimates for parabolic \(p(x, t)\)-Laplacian systems ⋮ $L^{\infty }$-regularity for a wide class of parabolic systems with general growth ⋮ On higher differentiability of solutions of parabolic systems with discontinuous coefficients and (p,q)-growth

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