The asymptotic behaviour of the solutions of the Kassoy problem with a modified source term

DOI10.1017/S0308210500024185zbMath0685.34063OpenAlexW2155325300MaRDI QIDQ4735461

Yuan-wei Qi, Chris J. Budd

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500024185

zbMATH Keywords

blow-upsemilinear parabolic partial differential equationKassoy equation

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Nonexistence for the Kassoy problem in dimensions 1 and 2
• Concavity of solutions of nonlinear ordinary differential equations
• The blow-up rate of solutions of semilinear heat equations
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Nonexistence for the Kassoy Problem
• A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case