| Texto completo | |
| Autor(es): |
Campos, Luccas
;
Guzman, Carlos M.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; v. 61, n. 4, p. 15-pg., 2022-08-01. |
| Resumo | |
We consider the focusing inhomogeneous biharmonic nonlinear Schrodinger equation in H-2(R-N), iu(t) + Delta(2)u - vertical bar x vertical bar(-b) vertical bar u vertical bar(alpha) u = 0, when b > 0 and N >= 5. We first obtain a small data global result in H-2, which, in the five-dimensional case, improves a previous result from Pastor and the second author. In the sequel, weshowthemain result, scattering below the mass-energy threshold in the intercritical case, that is, 8-2b/N < alpha < 8-2b/N-4, without assuming radiality of the initial data. The proof combines the decay of the nonlinearity with Virial-Morawetz-type estimates to avoid the radial assumption, allowing for a much simpler proof than the Kenig-Merle roadmap. (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 |