Nonlinear schrödinger equations with the third order dispersion on modulation spaces

Author:

Carvajal X.,Panthee M.ORCID

Funder

Fundação de Amparo à Pesquisa do Estado de São Paulo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference30 articles.

1. Agrawal, G.: Nonlinear Fiber Optics, 4th edn. Elsevier Academic Press, Oxford (2007)

2. Bourgain, J.: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I. Schrödinger equations,. Geom. Funct. Anal. 3(2), 107–156 (1993)

3. Bourgain, J.: Refinements of Strichartz’ inequality and applications to 2D-NLS with critical nonlinearity. IMRN. Internat. Math. Res. Not. 5, 253–283 (1998)

4. Carvajal, X.: Ph.D. Thesis, IMPA (2002)

5. Carvajal, X.: Local well-posedness for a higher order nonlinear Schrödinger equation in Sobolev spaces if negative indices. Electron. J. Differ. Equ. 2004, 1–10 (2004)

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