Simplicity of zeros in scalar parabolic equations

DOI10.1016/0022-0396(86)90099-9zbMath0549.35062OpenAlexW1966573293MaRDI QIDQ800566

Pavol Brunovský, Bernold Fiedler

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90099-9

zbMATH Keywords

maximum principlereaction-diffusion equationsimple zerossign changesDirichlet boundary-conditionmaximal interval of existenceorbits connecting critical points

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Maximum principles in context of PDEs (35B50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Spatial Critical Points of Solutions of a One-Dimensional Nonlinear Parabolic Problem, Numbers of zeros on invariant manifolds in reaction- diffusion equations, Long-time asymptotics of the zero level set for the heat equation, The Dynamics of Rotating Waves in Scalar Reaction Diffusion Equations, Scalar parabolic PDEs and braids

Cites Work

• Numbers of zeros on invariant manifolds in reaction- diffusion equations
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