On the existence of infinite energy solutions for nonlinear Schrödinger equations

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

doi:10.1090/S0002-9939-09-09773-1

On the existence of infinite energy solutions for nonlinear Schrödinger equations
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by Pablo Braz e Silva, Lucas C. F. Ferreira and Elder J. Villamizar-Roa PDF

Proc. Amer. Math. Soc. 137 (2009), 1977-1987 Request permission

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-$L^{p}$ spaces.

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