Improved estimates for parabolic \(p\)-Laplace type equations

DOI10.1007/s10958-015-2574-3zbMath1334.35172OpenAlexW2270889423MaRDI QIDQ905249

Mikhail D. Surnachev

Publication date: 19 January 2016

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

Full work available at URL: https://doi.org/10.1007/s10958-015-2574-3

zbMATH Keywords

Cauchy problemparabolic \(p\)-Laplacesign-variable initial data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (3)

Hölder continuity of solutions to nonlinear parabolic equations degenerated on a part of the domain ⋮ Stabilization of solutions to the Dirichlet problem in a cylindrical domain for the parabolic \(p\)-Laplacian ⋮ Maximum estimates for generalized Forchheimer flows in heterogeneous porous media

Cites Work

• Degenerate parabolic equations
• On improved estimates for parabolic equations with double degeneracy
• A new approach to initial traces in nonlinear filtration
• Nonlinear elliptic and parabolic equations involving measure data
• Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data
• Compact sets in the space \(L^ p(0,T;B)\)
• Nonlinear parabolic equations with measure data
• On the initial boundary-value problem for \(u_ t-\text{div}(| \nabla u| ^{p-2}\nabla u)=0\)
• Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• Harnack's Inequality for Degenerate and Singular Parabolic Equations
• Existence and uniqueness of “entropy” solutions of parabolic problems with L1 data
• Lsub1-Lsubinfin estimates of solutions of the Cauchy problem for an anisotropic degenerate parabolic equation with double non-linearity and growing initial data
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Existence and uniqueness for a degenerate parabolic equation with 𝐿¹-data
• Truncations and monotonicity methods for parabolic equations
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