Reaction-diffusion systems: stabilizing effect of conditions described by quasivariational inequalities

DOI10.1023/A:1022411501260zbMath0898.35010OpenAlexW1488761323MaRDI QIDQ4209996

Milan Kučera

Publication date: 28 September 1998

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30377

zbMATH Keywords

diffusion-driven instabilitydomain of stabilityunilateral conditionsstationary spatially nonhomogeneous solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Eigenvalue problems for linear operators (47A75) Bifurcations in context of PDEs (35B32)

Related Items (max. 100)

A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions. ⋮ Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms ⋮ A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions. ⋮ Global bifurcation for quasivariational inequalities of reaction-diffusion type ⋮ Spatial patterns for reaction-diffusion systems with conditions described by inclusions ⋮ An influence of unilateral sources and sinks in reaction-diffusion systems exhibiting Turing's instability on bifurcation and pattern formation ⋮ Critical and bifurcation points of reaction-diffusion systems with conditions given by inclusions ⋮ Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability ⋮ Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms ⋮ Unnamed Item

Cites Work

• Topics in stability and bifurcation theory
• Reaction-diffusion systems: destabilizing effect of unilateral conditions
• Bifurcation points and eigenvalues of inequalities of reaction-diffusion type.
• Reaction-diffusion systems: Bifurcation and stabilizing effect of conditions given by inclusions
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