Weak solutions for the derivative nonlinear Schrödinger equation

The initial value problem for the derivative nonlinear Schrödinger equation (DNLS) was studied. The existence of global weak solutions and smoothing effect for DNLS was demonstrated. Compactness was required to obtain the dispersive smoothing properties of the Schrödinger equation.

Detalles Bibliográficos
Autor principal: Rial, Diego Fernando
Publicado: 2002
Materias:
Derivative nonlinear Schrödinger equation
Nonlocal dissipation
Smoothing effect
Weak solutions
Convergence of numerical methods
Initial value problems
Mathematical transformations
Theorem proving
Shrodinger equations
Nonlinear equations
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v49_n2_p149_Rial
http://hdl.handle.net/20.500.12110/paper_0362546X_v49_n2_p149_Rial
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0362546X_v49_n2_p149_Rial
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spelling paper:paper_0362546X_v49_n2_p149_Rial2023-06-08T15:35:17Z Weak solutions for the derivative nonlinear Schrödinger equation Rial, Diego Fernando Derivative nonlinear Schrödinger equation Nonlocal dissipation Smoothing effect Weak solutions Convergence of numerical methods Initial value problems Mathematical transformations Theorem proving Shrodinger equations Nonlinear equations The initial value problem for the derivative nonlinear Schrödinger equation (DNLS) was studied. The existence of global weak solutions and smoothing effect for DNLS was demonstrated. Compactness was required to obtain the dispersive smoothing properties of the Schrödinger equation. Fil:Rial, D.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v49_n2_p149_Rial http://hdl.handle.net/20.500.12110/paper_0362546X_v49_n2_p149_Rial
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Derivative nonlinear Schrödinger equation
Nonlocal dissipation
Smoothing effect
Weak solutions
Convergence of numerical methods
Initial value problems
Mathematical transformations
Theorem proving
Shrodinger equations
Nonlinear equations
spellingShingle Derivative nonlinear Schrödinger equation
Nonlocal dissipation
Smoothing effect
Weak solutions
Convergence of numerical methods
Initial value problems
Mathematical transformations
Theorem proving
Shrodinger equations
Nonlinear equations
Rial, Diego Fernando
Weak solutions for the derivative nonlinear Schrödinger equation
topic_facet Derivative nonlinear Schrödinger equation
Nonlocal dissipation
Smoothing effect
Weak solutions
Convergence of numerical methods
Initial value problems
Mathematical transformations
Theorem proving
Shrodinger equations
Nonlinear equations
description The initial value problem for the derivative nonlinear Schrödinger equation (DNLS) was studied. The existence of global weak solutions and smoothing effect for DNLS was demonstrated. Compactness was required to obtain the dispersive smoothing properties of the Schrödinger equation.
author Rial, Diego Fernando
author_facet Rial, Diego Fernando
author_sort Rial, Diego Fernando
title Weak solutions for the derivative nonlinear Schrödinger equation
title_short Weak solutions for the derivative nonlinear Schrödinger equation
title_full Weak solutions for the derivative nonlinear Schrödinger equation
title_fullStr Weak solutions for the derivative nonlinear Schrödinger equation
title_full_unstemmed Weak solutions for the derivative nonlinear Schrödinger equation
title_sort weak solutions for the derivative nonlinear schrödinger equation
publishDate 2002
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v49_n2_p149_Rial
http://hdl.handle.net/20.500.12110/paper_0362546X_v49_n2_p149_Rial
work_keys_str_mv AT rialdiegofernando weaksolutionsforthederivativenonlinearschrodingerequation
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