Interior and boundary higher integrability of very weak solutions for quasilinear parabolic equations with variable exponents

DOI10.1016/j.na.2018.10.014zbMath1439.35193arXiv1802.09175OpenAlexW2963277706WikidataQ128898319 ScholiaQ128898319MaRDI QIDQ2309732

Karthik Adimurthi, Jehan Oh, Sun-Sig Byun

Publication date: 1 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09175

zbMATH Keywords

quasilinear parabolic equationsvery weak solutionsvariable exponent spacesboundary higher integrability\(p(x,t)\)-Laplacianunified intrinsic scaling

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order parabolic equations (35K10) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (7)

Partial existence result for homogeneous quasilinear parabolic problems beyond the duality pairing ⋮ An \(L^1\)-theory for a nonlinear temporal periodic problem involving \(p(x)\)-growth structure with a strong dependence on gradients ⋮ Existence and regularity results for a class of parabolic problems with double phase flux of variable growth ⋮ Parabolic equations in Musielak-Orlicz spaces with discontinuous in time \(N\)-function ⋮ End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains ⋮ Double-phase parabolic equations with variable growth and nonlinear sources ⋮ Global higher integrability for symmetric \(p(x, t)\)-Laplacian system

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