On the existence of infinite energy solutions for nonlinear Schrödinger equations

Author:

Braz e Silva Pablo,Ferreira Lucas,Villamizar-Roa Elder

Abstract

We derive new results about existence and uniqueness of local and global solutions for the nonlinear Schrödinger equation, including self-similar solutions. Our analysis is performed in the framework of weak- L p L^{p} spaces.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the solvability of a space-time fractional nonlinear Schrödinger system;Partial Differential Equations in Applied Mathematics;2024-09

2. ON THE EXISTENCE THEORY OF A TIME-SPACE FRACTIONAL KLEIN–GORDON–SCHRÖDINGER SYSTEM;Journal of Integral Equations and Applications;2023-12-01

3. Infinite-energy solutions to energy-critical nonlinear Schrödinger equations in modulation spaces;Journal of Mathematical Analysis and Applications;2023-03

4. Existence Theory for the Boussinesq Equation in Modulation Spaces;Bulletin of the Brazilian Mathematical Society, New Series;2019-12-06

5. On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev–Lorentz spaces;Nonlinear Differential Equations and Applications NoDEA;2019-09-18

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