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.References
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Additional Information
- Pablo Braz e Silva
- Affiliation: Departamento de Matemática, Universidade Federal de Pernambuco, 50740-540, Recife, PE, Brazil
- Email: pablo@dmat.ufpe.br
- Lucas C. F. Ferreira
- Affiliation: Departamento de Matemática, Universidade Federal de Pernambuco, 50740-540, Recife, PE, Brazil
- MR Author ID: 795159
- Email: lcff@dmat.ufpe.br
- Elder J. Villamizar-Roa
- Affiliation: Escuela de Matemáticas, Universidad Industrial de Santander, A.A. 678, Bucaramanga, Colombia
- Email: jvillami@uis.edu.co
- Received by editor(s): December 12, 2007
- Published electronically: January 21, 2009
- Additional Notes: The first author was partly supported during this work by CAPES/MECD-DGU Brazil/Spain, grant No. 117/06.
- Communicated by: Hart F. Smith
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 1977-1987
- MSC (2000): Primary 35Q55, 35D05, 35B40
- DOI: https://doi.org/10.1090/S0002-9939-09-09773-1
- MathSciNet review: 2480279