On the non-existence of homoclinic orbits for a class of infinite dimensional Hamiltonian systems
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- by Ph. Clément and R. C. A. M. van der Vorst PDF
- Proc. Amer. Math. Soc. 125 (1997), 1167-1176 Request permission
Abstract:
We prove that for a class of infinite dimensional Hamiltonian systems certain homoclinic connections to the origin cease to exist when the non-linearities have ‘super-critical’ growth. The proof is based on a variational principle and a Pohožaev type identity.References
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Additional Information
- Ph. Clément
- Affiliation: Delft University of Technology, Faculty of Technical Mathematics and Informatics, Delft, The Netherlands
- R. C. A. M. van der Vorst
- Affiliation: Center for Dynamical Systems, Nonlinear Studies, Georgia Institute of Technology, Atlanta, Georgia 30332-0190
- Received by editor(s): October 25, 1995
- Additional Notes: This work was supported by the Netherlands Organization for Scientific Research, NWO and EC-HCM project Reaction–Diffusion Equations ERBCHRXCT930409.
- Communicated by: Hal L. Smith
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1167-1176
- MSC (1991): Primary 35J50, 35J55, 46E35
- DOI: https://doi.org/10.1090/S0002-9939-97-03696-4
- MathSciNet review: 1363415