On quenching of solutions to nonautonomous semilinear parabolic equations and reaction—diffusion systems

DOI10.1080/00036819908840708zbMath1026.35007OpenAlexW1579506470WikidataQ58249225 ScholiaQ58249225MaRDI QIDQ4487776

Anatolii S. Kalashnikov

Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819908840708

zbMATH Keywords

global existenceexamples

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• Geometric theory of semilinear parabolic equations
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• A note on a question of blow-up for semilinear parabolic equations
• Existence of solutions of quenching problems
• The Quenching of Solutions of Some Nonlinear Parabolic Equations
• Global solutions and quenching to a class of quasilinear parabolic equations
• Solution profiles beyond quenching for degenerate reaction-diffusion problems