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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Campos, Luccas [1] ; Cardoso, Mykael [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Inst Math & Comp Sci, Campinas, SP - Brazil
[2] Univ Fed Piaui, Teresina - Brazil
Total Affiliations: 2
Document type: Journal article
Source: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS; v. 28, n. 6 DEC 2021.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 20/10185-1 - Local and global behaviour of solutions of dispersive equations
Grantee:Luccas Cassimiro Campos
Support Opportunities: Scholarships in Brazil - Post-Doctoral