On boundedness and stability of solutions to quasilinear parabolic equations with nonlocal nonlinearities

DOI10.1016/0022-247X(91)90300-OzbMath0768.35040MaRDI QIDQ1178479

Hendrik J. Kuiper

Publication date: 26 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

reaction diffusion systemdiffusion of charged particlesnonlinear second-order elliptic equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Motion of charged particles (78A35)

Related Items (2)

A remark on \(L^{\infty}\) bounds for solutions to quasilinear reaction- diffusion equations ⋮ Existence for a diffusing population with returns from the boundary to the interior

Cites Work

• A nonlinear Volterra equation arising in the theory of superfluidity
• Bounds on the maximum modulus of solutions to quasilinear parabolic equations by means of a modified Lyapunov method
• Theory of the Flow of Electrons and Holes in Germanium and Other Semiconductors
• On the growth of solutions of quasi‐linear parabolic equations
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