Unbounded solutions of a nonlinear parabolic equation

DOI10.1007/S10598-009-9041-2zbMath1248.35021OpenAlexW2025165361MaRDI QIDQ616549

I. M. Nikol'skii

Publication date: 10 January 2011

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-009-9041-2

zbMATH Keywords

nonlinear heat equationfamily of exact solutionsquadratic trinomial sourceunboundedness conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

Cites Work

• Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
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