The Cauchy problem for a nonhomogeneous heat equation with reaction

DOI10.3934/DCDS.2013.33.643zbMath1439.35265OpenAlexW2332378949MaRDI QIDQ1946314

Ariel Sánchez, Guillermo Reyes, Arturo de Pablo

Publication date: 19 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.643

zbMATH Keywords

well-posednessblow-upcritical exponentsinitial value problemreaction-diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Blow-up and global existence for the inhomogeneous porous medium equation with reaction ⋮ Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction‐diffusion equations ⋮ Existence and nonexistence of local/global solutions for a nonhomogeneous heat equation ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and slowly decaying density

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