Global dynamics for a class of inhomogeneous nonlinear Schrödinger equations with potential

Autor:	Van Duong Dinh
Rok vydání:	2021
Předmět:	Class (set theory) Scattering General Mathematics 010102 general mathematics Dynamics (mechanics) 01 natural sciences Schrödinger equation 010101 applied mathematics symbols.namesake Nonlinear system Classical mechanics symbols 0101 mathematics Ground state Energy (signal processing) Mathematics
Zdroj:	Mathematische Nachrichten. 294:672-716
ISSN:	1522-2616 0025-584X
DOI:	10.1002/mana.201900427
Popis:	We consider a class of L2‐supercritical inhomogeneous nonlinear Schrodinger equations with potential in three dimensions. In the focusing case, using a recent method of Dodson and Murphy, we first study the energy scattering below the ground state for the equation with radially symmetric initial data. We then establish blow‐up criteria for non‐radial solutions to the equation. In the defocusing case, we also prove the energy scattering for the equation with radially symmetric initial data.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b3886ca77177079c03f76149b3981164 https://doi.org/10.1002/mana.201900427 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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