On similarity solutions of a heat equation with a nonhomogeneous nonlinearity

DOI10.1006/JDEQ.2000.3789zbMath1011.34006OpenAlexW1995494717MaRDI QIDQ1584734

Achilles Tertikas, Stathis Filippas

Publication date: 6 February 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3789

zbMATH Keywords

semilinear heat equationpositive radially symmetric solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Heat equation (35K05) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

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• The existence of bounded solutions of a semilinear elliptic equation
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• An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
• Uniqueness and nonuniqueness of positive solutions for a semilinear elliptic equation in \(\mathbb{R}^ n\)
• Uniqueness of rapidly decaying solutions to the Haraux-Weissler equation
• On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains
• The Role of Critical Exponents in Blowup Theorems
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Semilinear elliptic equations of Matukuma-type and related topics
• The Existence of Bounded Solutions of a Semilinear Heat Equation
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Uniqueness of Radial Solutions of Semilinear Elliptic Equations
• On the Cauchy Problem for Reaction-Diffusion Equations
• Large time behavior of solutions of a dissipative semilnear heat equation

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