Global structure of self-similar solutions in a semilinear parabolic equation

DOI10.1006/JMAA.2000.6706zbMath0964.35023OpenAlexW2033492569MaRDI QIDQ1977810

Eiji Yanagida, Munemitsu Hirose

Publication date: 14 December 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6706

zbMATH Keywords

Sturm comparison theorem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Growth and boundedness of solutions to ordinary differential equations (34C11) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

On Gaussian decay estimates of solutions to some linear elliptic equations and their applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The evolution to localized and front solutions in a non-Lipschitz reaction-diffusion Cauchy problem with trivial initial data

Cites Work

• Remarks on the large time behaviour of a nonlinear diffusion equation
• Critical exponents for the blow-up of solutions with sign changes in a semilinear parabolic equation
• Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation
• On the equation \(\Delta u+x\cdot \nabla u+f(u)=0\)
• Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity
• Uniqueness of rapidly decaying solutions to the Haraux-Weissler equation
• Structure of positive radial solutions to the Haraux-Weissler equation
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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