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Article Dans Une Revue Differential and integral equations Année : 2004

Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schrödinger Equations

Résumé

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}.
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Dates et versions

hal-00715815 , version 1 (09-07-2012)
hal-00715815 , version 2 (11-07-2012)

Identifiants

Citer

Pascal Bégout. Maximum Decay Rate for Finite-Energy Solutions of Nonlinear Schrödinger Equations. Differential and integral equations, 2004, 17 (11-12), pp.1411-1422. ⟨hal-00715815v2⟩
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