We present recent existence results of quasi-periodic solutions for Schrodinger equations with a multiplicative potential on Td , finitely di¤erentiable nonlinearities, and tangential frequencies constrained along a pre-assigned direction. The solutions have only Sobolev regularity both in time and space. The proofs are based on an improved Nash–Moser iterative scheme and a new multiscale inductive analysis for the inverse linearized operators.
Quasi-periodic solutions of Nonlinear Schrodinger on T^d / Berti, Massimiliano; P., Bolle. - In: RENDICONTI LINCEI. SCIENZE FISICHE E NATURALI. - ISSN 2037-4631. - STAMPA. - 22:(2011), pp. 1-14. [10.4171/RLM/597]
Quasi-periodic solutions of Nonlinear Schrodinger on T^d
BERTI, MASSIMILIANO;
2011
Abstract
We present recent existence results of quasi-periodic solutions for Schrodinger equations with a multiplicative potential on Td , finitely di¤erentiable nonlinearities, and tangential frequencies constrained along a pre-assigned direction. The solutions have only Sobolev regularity both in time and space. The proofs are based on an improved Nash–Moser iterative scheme and a new multiscale inductive analysis for the inverse linearized operators.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.