Large time behavior of solutions for a complex-valued quadratic heat equation

DOI10.1007/s00030-015-0312-7zbMath1331.35155OpenAlexW2171009212MaRDI QIDQ745893

Slim Tayachi, Sarah Otsmane, Amel Chouichi

Publication date: 15 October 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-015-0312-7

zbMATH Keywords

self-similar solutionsnonlinear heat equationglobal solutionslarge time behaviorparabolic systemsemi-linear parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Complex valued semi-linear heat equations in super-critical spaces \(E^s_\sigma\) ⋮ Asymptotically self-similar global solutions for a complex-valued quadratic heat equation with a generalized kernel

Cites Work

• Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
• Cauchy problem for semilinear parabolic equations with initial data in \(H_p^s(\mathbb{R}^n)\) spaces
• ASYMPTOTIC SELF-SIMILAR BEHAVIOR OF SOLUTIONS FOR A SEMILINEAR PARABOLIC SYSTEM
• Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity
• ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION
• Asymptotically self-similar global solutions of a general semilinear heat equation
• Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems

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