Blow-up in a slow diffusive \(p\)-Laplace equation with the Neumann boundary conditions

DOI10.1155/2013/643819zbMath1470.35221OpenAlexW1976065151WikidataQ58916509 ScholiaQ58916509MaRDI QIDQ2318936

Chengyuan Qu, Bo Liang

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/643819

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (6)

Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity ⋮ Blow-up and extinction for a thin-film equation with initial-boundary value conditions ⋮ Global existence and finite time blow-up of the solution for a thin-film equation with high initial energy ⋮ Upper bounds of blow-up time and blow-up rate for a semi-linear edge-degenerate parabolic equation ⋮ Asymptotic properties for a semilinear edge-degenerate parabolic equation ⋮ Blow-up phenomena for a nonlocal \(p\)-Laplace equation with Neumann boundary conditions

Cites Work

• Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
• Continuity of the gradient for weak solutions of a degenerate parabolic equation
• A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
• Global nonexistence theorems for a class of evolution equations with dissipation
• Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux
• Semilinear parabolic equations with prescribed energy
• The role of critical exponents in blow-up theorems: The sequel
• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
• Blowup in a Partial Differential Equation with Conserved First Integral
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