The Fujita exponent for the Cauchy problem in the hyperbolic space

DOI10.1016/j.jde.2011.06.001zbMath1227.35052OpenAlexW2025868377MaRDI QIDQ639486

Maria Assunta Pozio, Catherine Bandle, Tesei, Alberto

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.jde.2011.06.001

zbMATH Keywords

power nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

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Cites Work

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• On the critical exponent for reaction-diffusion equations
• Local and global solvability of a class of semilinear parabolic equations
• Lectures on hyperbolic geometry
• Blow-up results for nonlinear parabolic equations on manifolds
• A strong maximum principle for weakly subparabolic functions
• The Role of Critical Exponents in Blowup Theorems
• On the Cauchy Problem for Reaction-Diffusion Equations
• The critical exponents of parabolic equations and blow-up inRⁿ
• The Nonlinear Schrödinger Equation on Hyperbolic Space
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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