Global existence and blowup for a degenerate and singular parabolic system with nonlocal source and absorptions

DOI10.1007/S00033-013-0342-0zbMath1296.35082OpenAlexW2002430750MaRDI QIDQ743539

Jun Zhou

Publication date: 25 September 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0342-0

zbMATH Keywords

global existenceblowupblowup ratedegenerate and singular parabolic systemuniform blowup profiles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Singular parabolic equations (35K67) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Fractional differential equations and inclusions with semiperiodic and three-point boundary conditions ⋮ Critical blow-up exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption ⋮ Global existence and blow-up behavior for a degenerate and singular parabolic equation with nonlocal boundary condition

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