Global existence and blow-up for a quasilinear parabolic system with localized sources

DOI10.1007/S13370-012-0086-6zbMath1304.35335OpenAlexW2036225451MaRDI QIDQ467923

Xiao Yan Liu

Publication date: 5 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-012-0086-6

zbMATH Keywords

Dirichlet boundary conditionstrongly coupleddegenerate parabolic system

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Strong solutions to PDEs (35D35) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Blow-up for a porous medium equation with a localized source
• Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation
• A class of nonlocal and degenerate quasilinear parabolic system not in divergence form
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• Global existence and nonexistence for a class of degenerate parabolic systems
• Existence and nonexistence of global solutions of some nonlocal degenerate parabolic equations
• A degenerate and strongly coupled quasilinear parabolic system not in divergence form
• Uniform blow-up profile for a degenerate parabolic system with nonlocal source
• Some degenerate and quasilinear parabolic systems not in divergence form.
• A nonlinear degenerate diffusion equation not in divergence form
• Global and blow-up solutions for nonlinear degenerate parabolic systems with crosswise-diffusion
• Boundedness of global solutions for a nonlinear degenerate parabolic (porous medium) system with localized sources
• Boundedness of global solutions of a porous medium equation with a localized source
• Global and non-global existence of solutions to a nonlocal and degenerate quasilinear parabolic system
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Global existence for degenerate parabolic equations with a non-local forcing

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