Global existence and blowup of solutions for a parabolic equation with a gradient term

DOI10.1090/S0002-9939-00-05666-5zbMath0981.35028MaRDI QIDQ2701612

Shaohua Chen

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

semilinear parabolic equationpositive equilibrium solutionquadratic gradient termhomogeneous Dirichlet data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (8)

Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms ⋮ Blow-up solutions and global existence for a kind of quasilinear reaction-diffusion equations ⋮ Global existence and blow-up solutions for quasilinear reaction-diffusion equations with a gradient term ⋮ Existence of the maximal weak solution for a class of singular parabolic equations ⋮ Blow-up phenomena for some nonlinear parabolic problems ⋮ Global and blow-up solutions for nonlinear parabolic problems with a gradient term under Robin boundary conditions ⋮ Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux ⋮ A sufficient condition for blow up solutions of nonlinear heat equations

Cites Work

• Unnamed Item
• Unnamed Item
• Observations on blow up and dead cores for nonlinear parabolic equations
• Geometric theory of semilinear parabolic equations
• On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
• Existence and multiplicity theorems for semi-linear elliptic boundary value problems
• Stabilization of solutions of a nonlinear parabolic equation with a gradient term
• Blow up for \(u_ t- \Delta u=g(u)\) revisited
• Remarks on Blow Up for a Nonlinear Parabolic Equation with a Gradient Term
• Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term

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