Journal
ANALYSIS & PDE
Volume 14, Issue 7, Pages 2225-2268Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/apde.2021.14.2225
Keywords
NLS; scattering; Morawetz inequality; concentration-compactness
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Funding
- National Science Foundation [NSF-DMS 1201443, NSF-DMS 1463714]
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The Cauchy initial value problem for the defocusing quintic nonlinear Schrodinger equation in two dimensions with general data in the critical space (H)over dot(1/2)(R-2) is considered. It is shown that if a solution remains bounded in (H)over dot(1/2)(R-2) in its maximal interval of existence, then the interval is infinite and the solution scatters.
We consider the Cauchy initial value problem for the defocusing quintic nonlinear Schrodinger equation in two dimensions with general data in the critical space (H)over dot(1/2)(R-2). We show that if a solution remains bounded in (H)over dot(1/2)(R-2) in its maximal interval of existence, then the interval is infinite and the solution scatters.
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