A remark on \(L^{\infty}\) bounds for solutions to quasilinear reaction- diffusion equations

DOI10.1216/RMJM/1181072621zbMath0799.35119OpenAlexW2082838541MaRDI QIDQ1801934

Hendrik J. Kuiper

Publication date: 14 November 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072621

zbMATH Keywords

blow-upnonlocal nonlinearity\(L^ \infty\) bound

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45)

Cites Work

• Unnamed Item
• Pursuit-evasion wave trains in prey-predator systems with diffusionally coupled delays
• On boundedness and stability of solutions to quasilinear parabolic equations with nonlocal nonlinearities
• Bounds on the maximum modulus of solutions to quasilinear parabolic equations by means of a modified Lyapunov method

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