Global existence and blow-up for a porous medium system with nonlocal boundary conditions and nonlocal sources

DOI10.1016/J.NA.2013.01.004zbMath1263.35128OpenAlexW2069579194MaRDI QIDQ1947405

Xiaojing Xu, Zhuan Ye

Publication date: 22 April 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.01.004

zbMATH Keywords

asymptotic propertiesglobal existencenonlocal boundary conditionsfinite time blow-upnonlocal sourcessub-super-solution methodporous system

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Initial value problems for second-order parabolic systems (35K45) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Quasilinear parabolic equations (35K59)

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