Work

Long Range Scattering and Modified Wave Operators for Some Hartree Type Equations I

Year: 2000

Type: article

Abstract: We study the theory of scattering for a class of Hartree type equations with long range interactions in space dimension n≥3, including Hartree equations with potential V(x)= λ|x|-γ with γ<1. For 1/2<γ<1 we prove the existence of modified wave operators with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.

Source: Reviews in Mathematical Physics

DOI: 10.1142/s0129055x00000137

Authors: J. GINIBRE, G. VELO

Institutions: Centre National de la Recherche Scientifique, Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, University of Bologna

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2951487343

FWCI: 7.678

Cites: 13

Cited by: 56

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