Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schrödinger Equations
Bégout, Pascal
HAL, hal-00715815 / Harvested from HAL
Text on HAL
We give explicit time lower bounds in the Lebesgue spaces for all nontrivial solutions of nonlinear Schrödinger equations bounded in the energy space. The result applies for these equations set in any domain of $\R^N,$ including the whole space. This also holds for a large class of nonlinearities, thereby extending the results obtained by Hayashi and Ozawa in~\cite{MR91d:35035} and by the author in~\cite{beg3}.
Publié le : 2004-07-05
Classification:  2000 Mathematics Subject Classification: 35Q55,(35B40),  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00715815,
     author = {B\'egout, Pascal},
     title = {Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schr\"odinger Equations},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00715815}
}

Bégout, Pascal. Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schrödinger Equations. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00715815/