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Global existence and nonexistence for a parabolic system with nonlinear boundary conditions

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Publication:1979119
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zbMath1004.35012MaRDI QIDQ1979119

Julio D. Rossi, Noemí I. Wolanski

Publication date: 24 May 2000

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

positive solutionweakly coupled system


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Critical exponents in context of PDEs (35B33) Continuation and prolongation of solutions to PDEs (35B60)


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Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux, Blow-up phenomena for a system of semilinear heat equations with nonlinear boundary flux, Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws, Blow-up and convergence results for a one-dimensional non-local parabolic problem, Localization of blow-up points for a parabolic system with a nonlinear boundary condition



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