Blowup and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrodinger equation

Autor(es)

Campos, Luccas ^[1] ; Cardoso, Mykael ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Math & Comp Sci, Campinas, SP - Brazil

^[2] Univ Fed Piaui, Teresina - Brazil

• Tipo de documento: Artigo Científico
• Fonte: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS; v. 28, n. 6 DEC 2021.
• Citações Web of Science: 0

Resumo

We consider the inhomogeneous nonlinear Schrodinger equation (INLS) in R-N i partial derivative(t)u +Delta u + vertical bar x vertical bar(-b)vertical bar u vertical bar(p-1) u = 0, with initial data u(0) is an element of H-1 (R-N) having finite variance. We extend the dichotomy between scattering and blow-up for solutions above the massenergy threshold (and with arbitrarily large energy). We also show two other blow-up criteria, which are valid in any mass-supercritical setting, given there is local well-posedness. (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