ISSN:
0945-3245
Keywords:
65M60
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary It is well-known that periodic solutions of semilinear wave equations can be obtained as critical points of related functionals. In the situation that we studied, there is usually an obvious solution obtained as a solution of linear problem. We formulate a dual variational problem in such a way that the obvious solution is a local minimum. We then find additional non-obvious solutions via a numerical mountain pass algorithm, based on the theorems of Ambrosetti, Rabinowitz and Ekeland. Numerical results are presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01388701
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