Liouville type results for periodic and almost periodic linear operators

DOI10.1016/j.anihpc.2009.07.001zbMath1182.35015arXiv0801.2291OpenAlexW3105698230WikidataQ58925413 ScholiaQ58925413MaRDI QIDQ1044399

Luca Rossi

Publication date: 18 December 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2291

zbMATH Keywords

maximum principleperiodic solutionsLiouville theoremalmost periodic solutionsDirichlet or Robin boundary conditionslinear parabolic operatorperiodic principal eigenvalue

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Maximum principles in context of PDEs (35B50) Almost and pseudo-almost periodic solutions to PDEs (35B15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Second-order parabolic equations (35K10) Entire solutions to PDEs (35B08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (7)

Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations ⋮ On the definition and the properties of the principal eigenvalue of some nonlocal operators ⋮ Almost periodic solutions of sublinear heat equations ⋮ The Liouville theorem and linear operators satisfying the maximum principle ⋮ On generalized principal eigenvalues of nonlocal operators with a drift ⋮ Boundedness and almost periodicity of solutions for a class of semilinear parabolic equations with boundary degeneracy ⋮ Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations

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