Generic hyperbolicity for reaction diffusion equations on symmetric domains

DOI10.1007/BF00945403zbMath0622.35005OpenAlexW1977638201MaRDI QIDQ1090839

Pavol Brunovský, Peter Poláčik

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945403

zbMATH Keywords

linearized problemradially symmetric solutionsstationary solutionssymmetric domainsreaction diffusiongeneric hyperbolicitynonhyperbolic solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items

Genericity of hyperbolicity and saddle-node bifurcations in reaction-diffusion equations depending on a parameter, Symmetry and convergence properties for non-negative solutions of nonautonomous reaction–diffusion problems, Complicated dynamics in scalar semilinear parabolic equations in higher space dimension, Orbit equivalence of global attractors of semilinear parabolic differential equations

Cites Work

• Generic properties of stationary state solutions of reaction-diffusion equations
• Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
• Geometric theory of semilinear parabolic equations
• Generic hyperbolicity in one-dimensional reaction- diffusion equations with general boundary conditions
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