On a nonlocal moving frame approximation of traveling waves

DOI10.1016/J.CRMA.2011.07.001zbMath1225.35045OpenAlexW2056709734MaRDI QIDQ639590

Enrique Zuazua, Maria Lopez-Fernandez, José M. Arrieta

Publication date: 22 September 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/480

zbMATH Keywords

nonlocal Cauchy problemconsistent boundary conditionsnonlocal change of variables

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07)

Cites Work

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• Geometric theory of semilinear parabolic equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Further spectral properties of uniformly elliptic operators that include a non-local term
• Freezing Solutions of Equivariant Evolution Equations
• The Evans function for nonlocal equations
• Resolvent Estimates for Boundary Value Problems on Large Intervals Via the Theory of Discrete Approximations

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