| Texto completo | |
| Autor(es): |
Campos, Luccas
;
Correia, Simao
;
Farah, Luiz Gustavo
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 85, p. 21-pg., 2025-10-01. |
| Resumo | |
We consider the initial value problem associated to the inhomogeneous nonlinear Schrodinger equation, iu(t )+ Delta u + mu|x|(-b)|u|(alpha)u = 0, u(0 )is an element of H-s(R-N) or u(0 )is an element of H-s(R-N), with mu = +/- 1, b > 0, s >= 0 and 0 < alpha <= 4-2b/N-2s (0 < alpha < infinity if s >= N/2). By means of an adapted version of the fractional Leibniz rule, we prove new local well-posedness results in Sobolev spaces for a large range of parameters. We also prove an ill-posedness result for this equation, through a delicate analysis of the associated Duhamel operator. (AU) | |
| Processo FAPESP: | 20/10185-1 - Comportamento local e global de soluções de equações dispersivas |
| Beneficiário: | Luccas Cassimiro Campos |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |