Almost global solutions for non hamiltonian semi-linear Klein-Gordon equations on compact revolution hypersurfaces
Delort, Jean-Marc ; Szeftel, Jérémie
Journées équations aux dérivées partielles, (2005), p. 1-13 / Harvested from Numdam
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This paper is devoted to the proof of almost global existence results for Klein-Gordon equations on compact revolution hypersurfaces with non-Hamiltonian nonlinearities, when the data are smooth, small and radial. The method combines normal forms with the fact that the eigenvalues associated to radial eigenfunctions of the Laplacian on such manifolds are simple and satisfy convenient asymptotic expansions.

Publié le : 2005-01-01
DOI : https://doi.org/10.5802/jedp.26
Classification:  35L70,  34L20 
@article{JEDP_2005____A15_0,
     author = {Delort, Jean-Marc and Szeftel, J\'er\'emie},
     title = {Almost global solutions for non hamiltonian semi-linear Klein-Gordon equations on compact revolution hypersurfaces},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2005},
     pages = {1-13},
     doi = {10.5802/jedp.26},
     mrnumber = {2352782},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2005____A15_0}
}

Delort, Jean-Marc; Szeftel, Jérémie. Almost global solutions for non hamiltonian semi-linear Klein-Gordon equations on compact revolution hypersurfaces. Journées équations aux dérivées partielles,  (2005), pp. 1-13. doi : 10.5802/jedp.26. http://gdmltest.u-ga.fr/item/JEDP_2005____A15_0/

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