Generic hyperbolicity in one-dimensional reaction- diffusion equations with general boundary conditions

DOI10.1016/0362-546X(87)90074-5zbMath0639.35039OpenAlexW2161883329MaRDI QIDQ3781471

Peter Poláčik

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90074-5

zbMATH Keywords

linearizationstationary problemDirichletNeumannreaction diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57)

Related Items

Genericity of hyperbolicity and saddle-node bifurcations in reaction-diffusion equations depending on a parameter, Generic hyperbolicity for reaction diffusion equations on symmetric domains, Connecting orbits in scalar reaction diffusion equations. II: The complete solution, Complicated dynamics in scalar semilinear parabolic equations in higher space dimension, Adaptation of the generic PDE's results to the notion of prevalence, The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension

Cites Work

• Generic properties of stationary state solutions of reaction-diffusion equations
• Generic bifurcation of steady-state solutions
• An exact sequence in differential topology
• Unnamed Item