On the solvability of the Cauchy problem with growing initial data for a class of anisotropic parabolic equations

DOI10.1007/s10958-012-0674-xzbMath1255.35126OpenAlexW1988857478MaRDI QIDQ1762508

Anatolii F. Tedeev, Sergey P. Degtyarev

Publication date: 27 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0674-x

zbMATH Keywords

weak solutiondoubly nonlinear parabolic equationanisotropic degenerationnonstandard conditions of growth

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

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Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation ⋮ An introduction to Barenblatt solutions for anisotropic \(p\)-Laplace equations ⋮ Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction–diffusion equations ⋮ Strong solutions to a parabolic equation with linear growth with respect to the gradient variable ⋮ Unnamed Item ⋮ Weak and strong probabilistic solutions for a stochastic quasilinear parabolic equation with nonstandard growth ⋮ Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations

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