Reaction-diffusion systems: destabilizing effect of unilateral conditions

DOI10.1016/0362-546X(88)90051-XzbMath0671.35043OpenAlexW1976048482MaRDI QIDQ3824772

Milan Kučera, Pavel Drábek

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90051-x

zbMATH Keywords

stabilityreaction-diffusiontrivial solutionunilateral boundary conditionsdomain of stabilitypenalty operatorspatially homogeneous equilibrium

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Bifurcations in context of PDEs (35B32)

Related Items (10)

A global continuation theorem for obtaining eigenvalues and bifurcation points ⋮ Reaction-diffusion systems: Bifurcation and stabilizing effect of conditions given by inclusions ⋮ Global bifurcation for quasivariational inequalities of reaction-diffusion type ⋮ Spatial patterns for reaction-diffusion systems with conditions described by inclusions ⋮ Bifurcation of solutions to reaction-diffusion systems with conditions described by inequalities and 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 ⋮ Unnamed Item ⋮ Reaction-diffusion systems: stabilizing effect of conditions described by quasivariational inequalities ⋮ Destabilization for quasivariational inequalities of reaction-diffusion type.

Cites Work

• Stability and semilinear evolution equations in Hilbert space
• A global continuation theorem for obtaining eigenvalues and bifurcation points
• Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
• Bifurcation points and eigenvalues of inequalities of reaction-diffusion type.
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