Explosion in a diffusive strip due to a source with local and nonlocal features

DOI10.4310/MAA.1996.v3.n3.a4zbMath0874.35055OpenAlexW145771952MaRDI QIDQ674814

Catherine A. Roberts, W. Edward Olmstead

Publication date: 10 November 1997

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1996.v3.n3.a4

zbMATH Keywords

Dirichlet problemNeumann problemnonlinear sourceone-dimensional heat equationgrowth rate near blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05)

Related Items (11)

Multi-dimensional explosion due to a concentrated nonlinear source ⋮ A blow-up criterion for a degenerate parabolic problem due to a concentrated nonlinear source ⋮ Blow-up and superexponential growth in superlinear Volterra equations ⋮ Fractional collocation boundary value methods for the second kind Volterra equations with weakly singular kernels ⋮ Single-point blow-up for a degenerate parabolic problem with a nonlinear source of local and nonlocal features. ⋮ Characterizing the blow-up solutions for nonlinear volterra integral equations ⋮ On the contributions of W. Edward Olmstead ⋮ Existence for a diffusing population with discrete returns to the interior ⋮ A criterion for a multi-dimensional explosion due to a concentrated nonlinear source ⋮ A class of degenerate parabolic equations with a concentrated nonlinear source ⋮ Analysis of explosion for nonlinear Volterra equations

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