Imbedding of any Vector Field in a Scalar Semilinear Parabolic Equation

DOI10.2307/2159346zbMath0755.35046OpenAlexW4255766395MaRDI QIDQ4018806

Peter Poláčik

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.2307/2159346

zbMATH Keywords

trajectorieschaosNeumann boundary conditionconstructive proofsmooth bounded convex domain

Mathematics Subject Classification ID

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

Related Items (8)

Restrictions on the possible flows of scalar retarded functional differential equations in neighborhoods of singularities ⋮ Unnamed Item ⋮ Inverse problems and chaotic dynamics of parabolic equations on arbitrary spatial domains ⋮ Unnamed Item ⋮ A remark on the existence of suitable vector fields related to the dynamics of scalar semi-linear parabolic equations ⋮ Unnamed Item ⋮ Complicated dynamics of parabolic equations with simple gradient dependence ⋮ Generic transversality of heteroclinic and homoclinic orbits for scalar parabolic equations

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