Life span and asymptotic behavior for a semilinear parabolic system with slowly decaying initial values

DOI10.14492/HOKMJ/1351001291zbMath0906.35044OpenAlexW1998733600MaRDI QIDQ1265207

Qing Huang, Kiyoshi Mochizuki, Kentaro Mukai

Publication date: 21 January 1999

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1351001291

zbMATH Keywords

asymptotic behaviorblow-upglobal existenceslowly decaying initial value

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45)

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Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source ⋮ Secondary critical exponent, large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values ⋮ Lifespan and a new critical exponent for a nonlocal parabolic equation with slowly decay initial values ⋮ Life span of solutions with large initial data for a semilinear parabolic system ⋮ Life span and a new critical exponent for a degenerate parabolic equation ⋮ Life span and secondary critical exponent for degenerate and singular parabolic equations ⋮ Life span and a new critical exponent for a doubly degenerate parabolic equation with slow decay initial values ⋮ Global existence, large time behavior, and life span for a degenerate parabolic equation with inhomogeneous density and source ⋮ Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values

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