Almost automorphic solutions for some evolution equations through the minimizing for some subvariant functional, applications to heat and wave equations with nonlinearities

DOI10.1016/j.jfa.2011.01.002zbMath1217.47080OpenAlexW2084970464MaRDI QIDQ531823

Khalil Ezzinbi, Philippe Cieutat

Publication date: 20 April 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.01.002

zbMATH Keywords

semigroupevolution equationscompact operatorbounded solutionalmost automorphic solutionheat and wave equationsK-mild solution

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Nonlinear evolution equations (47J35)

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