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| Type: | Artigo |
| Title: | On well-posedness of The third-order nonlinear schrodinger equation with time-dependent coefficients |
| Author: | Carvajal, Xavier Panthee, Mahendra Scialom, Marcia |
| Abstract: | We consider the Cauchy problem associated to the third-order nonlinear Schrodinger equation with time-dependent coefficients. Depending on the nature of the coefficients, we prove local as well as global well-posedness results for given data in L-2-based Sobolev spaces. We also address the scaling limit to fast dispersion management and prove that it converges in H-1 to the solution of the averaged equation. We consider the Cauchy problem associated to the third-order nonlinear Schrodinger equation with time-dependent coefficients. Depending on the nature of the coefficients, we prove local as well as global well-posedness results for given data in L-2-based Sobolev spaces. We also address the scaling limit to fast dispersion management and prove that it converges in H-1 to the solution of the averaged equation. |
| Subject: | Schrödinger, Equação de Problemas de valor inicial Boa-colocação local |
| Country: | Estados Unidos |
| Editor: | World Scientific |
| Citation: | On Well-posedness Of The Third-order Nonlinear Schrodinger Equation With Time-dependent Coefficients. World Scientific Publ Co Pte Ltd, v. 17, p. AUG-2015. |
| Rights: | fechado |
| Identifier DOI: | 10.1142/S021919971450031X |
| Address: | http://www.worldscientific.com/doi/10.1142/S021919971450031X |
| Date Issue: | 2015 |
| Appears in Collections: | IMECC - Artigos e Outros Documentos |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| 000356791900003.pdf | 503.85 kB | Adobe PDF | View/Open |
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