A remark on the existence of suitable vector fields related to the dynamics of scalar semi-linear parabolic equations

DOI10.1090/S0002-9939-06-08627-8zbMath1102.35054arXivmath/0610764MaRDI QIDQ5469227

Huiqiang Jiang, Feng Bo Hang

Publication date: 17 May 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610764

zbMATH Keywords

parabolic partial differential equationsadmissible domainsRealization of vector fields

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Topological characterizations of particular spaces (54F65) Initial-boundary value problems for second-order parabolic equations (35K20)

Cites Work

• Geometric theory of semilinear parabolic equations
• Complicated dynamics in scalar semilinear parabolic equations in higher space dimension
• Inverse problems and chaotic dynamics of parabolic equations on arbitrary spatial domains
• High-dimensional \(\omega\)-limit sets and chaos in scalar parabolic equations
• Imbedding of any Vector Field in a Scalar Semilinear Parabolic Equation
• Complicated dynamics of parabolic equations with simple gradient dependence
• Realization of vector fields and dynamics of spatially homogeneous parabolic equations
• Perturbation of elliptic operators and complex dynamics of parabolic partial differential equations
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