Differential and Integral Equations
- Differential Integral Equations
- Volume 17, Number 11-12 (2004), 1411-1422.
Maximum decay rate for finite-energy solutions of nonlinear Schrödinger equations
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 $\mathbb R^N,$ including the whole space. This also holds for a large class of nonlinearities, thereby extending the results obtained by Hayashi and Ozawa in  and by the author in .
Differential Integral Equations Volume 17, Number 11-12 (2004), 1411-1422.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Secondary: 35B40: Asymptotic behavior of solutions
Bégout, Pascal. Maximum decay rate for finite-energy solutions of nonlinear Schrödinger equations. Differential Integral Equations 17 (2004), no. 11-12, 1411--1422. https://projecteuclid.org/euclid.die/1356060253.