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On the non-existence of homoclinic orbits for a class of infinite dimensional Hamiltonian systems |
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| Authors: | Ph Clé ment R C A M van der Vorst |
| Institution: | Delft University of Technology, Faculty of Technical Mathematics and Informatics, Delft, The Netherlands R. C. A. M. van der Vorst ; Center for Dynamical Systems, Nonlinear Studies, Georgia Institute of Technology, Atlanta, Georgia 30332-0190 |
| 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 Poho\v{z}aev type identity. |
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