Jose F. Caicedo, Alfonso Castro, Rodrigo Duque, Arturo Sanjuan
Abstract:
We prove the existence of weak solutions to a semilinear wave with non-monotone
asymptotically linear nonlinearity when the forcing is dominated
by a trigonometric polynomial.
Published March 27, 2023.
Math Subject Classifications: 35J25, 58J05.
Key Words: Semilinear wave equation; weak solution; Nazarov-Turan lemma;
non-monotone nonlinearity; characteristic lines.
DOI: https://doi.org/10.58997/ejde.sp.02.c1
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José F. Caicedo Departamento de Matemáticas Universidad Nacional de Colombia Bogotá, Colombia |
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Alfonso Castro Department of Mathematics Harvey Mudd College Claremont, CA 91711, USA email: castro@hmc.edu |
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Rodrigo Duque Departamento de Matemáticas Universidad Nacional de Colombia Palmira, Colombia email: rduqueba@unal.edu.co |
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Arturo Sanjuán Departamento de Matemáticas Universidad Distrital Francisco José de Caldas Bogotá, Colombia email: aasanjuanc@udistrital.edu.co |
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