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On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity

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Resumo:We study the nonlinear Schrödinger equation [vg. equation] … After showing that the linear Schrödinger group is well-defined in this space, we prove local well-posedness in the whole range of parameters s and p. The precise properties of the solution depend on the relation between the power of the nonlinearity and the integrability p. Finally, we present a global existence result for the defocusing cubic equation in dimension three for initial data with infinite mass and energy, using a variant of the Fourier truncation method properties of the solution depend on the relation between the power of the nonlinearity and the integrability p. Finally, we present a global existence result for the defocusing cubic equation in dimension three for initial data with infinite mass and energy, using a variant of the Fourier truncation method.
Autores principais:Barros, Vanessa
Outros Autores:Correia, Simão; Oliveira, Filipe
Assunto:Nonlinear Schrödinger Equation Local Well-Posedness
Ano:2022
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade de Lisboa
Idioma:inglês
Origem:Repositório da Universidade de Lisboa

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