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A KAM Theorem with Applications to Partial Differential Equations of Higher Dimensions.
- Source :
-
Communications in Mathematical Physics . Sep2007, Vol. 275 Issue 1, p97-137. 41p. - Publication Year :
- 2007
-
Abstract
- The existence of lower dimensional KAM tori is shown for a class of nearly integrable Hamiltonian systems of infinite dimensions where the second Melnikov’s conditions are completely eliminated and the algebraic structure of the normal frequencies are not needed. As a consequence, it is proved that there exist many invariant tori and thus quasi-periodic solutions for nonlinear wave equations, Schrödinger equations and other equations of any spatial dimensions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 275
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 26147185
- Full Text :
- https://doi.org/10.1007/s00220-007-0287-2