Existence of Solutions for a Wave Equation with Non-monotone Nonlinearity and a Small Parameter |
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Authors: | José F Caicedo Alfonso Castro Rodrigo Duque |
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Institution: | 1.Departamento de Matemáticas,Universidad Nacional de Colombia,Bogotá,Colombia;2.Department of Mathematics,Harvey Mudd College,Claremont,USA |
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Abstract: | We provide sufficient conditions for the existence of solutions to a semilinear wave equation with non-monotone nonlinearity
involving a small parameter. Our results are based on the analysis of a an operator that characterizes the projection onto
the kernel of the wave operator subject to periodic-Dirichlet boundary conditions. Such a kernel is infinite dimensional which makes standard compactness arguments inapplicable. |
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Keywords: | |
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