Classification of certain qualitative properties of solutions for the quasilinear parabolic equations

DOI10.1007/s11425-016-9077-8zbMath1390.35177arXiv1703.09882OpenAlexW2736294649MaRDI QIDQ1650661

Y. Aharonov

Publication date: 5 July 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09882

zbMATH Keywords

weak solutionquasilinear parabolic equationextinctionblowup

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (13)

Qualitative properties of weak solutions for $p$-Laplacian equations with nonlocal source and gradient absorption ⋮ Complete quenching phenomenon for a parabolic \(p\)-Laplacian equation with a weighted absorption ⋮ Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms ⋮ A comparison principle for nonlinear heat Rockland operators on graded groups ⋮ Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation ⋮ Singular solutions in a \(p(x)\)-Laplace equation with multi-sources ⋮ Blowup property of solutions in the parabolic equation with p-Laplacian operator and multi-nonlinearities ⋮ Blowup time estimates for a parabolic \(p\)-Laplacian equation with nonlinear gradient terms ⋮ The quenching behavior of a quasilinear parabolic equation with double singular sources ⋮ Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups ⋮ The quenching behavior for a quasilinear parabolic equation with singular source and boundary flux ⋮ Extinction for a p-Laplacian equation with gradient source and nonlinear boundary condition ⋮ Asymptotic estimates of weak solutions for a parabolic \(p(x)\)-Laplace equation with variable exponents and absorption

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