A new blow-up condition for semi-linear edge degenerate parabolic equation with singular potentials

DOI10.1080/00036811.2015.1137097zbMath1366.35077OpenAlexW2394939861MaRDI QIDQ2967992

Jun Zhou, Aijing Hao

Publication date: 9 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1137097

zbMATH Keywords

blow-upNehari manifoldsingular potentialssemilinear edge degenerate parabolic equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) PDEs on manifolds (35R01)

Related Items (5)

On potential wells to a semilinear hyperbolic equation with damping and conical singularity ⋮ Global existence, finite time blow-up, and vacuum isolating phenomenon for a class of thin-film equation ⋮ 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 ⋮ Global existence, finite time blow-up and vacuum isolating phenomena for semilinear parabolic equation with conical degeneration

Cites Work

• Asymptotic stability and blow-up of solutions for semi-linear edge-degenerate parabolic equations with singular potentials
• Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term
• Elliptic theory of differential edge operators I
• Ellipticity and invertibility in the cone algebra on \(L_p\)-Sobolev spaces

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