Decay estimates for Schrödinger equations

Peter Constantin

doi:10.1007/BF02096495

Decay estimates for Schrödinger equations

Peter Constantin

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We prove global existence and optimal decay estimates for classical solutions with small initial data for nonlinear nonlocal Schrödinger equations. The Laplacian in the Schrödinger equation can be replaced by an operator corresponding to a non-degenerate quadratic form of arbitrary signature. In particular, the Davey-Stewartson system is included in the the class of equations we discuss.

Original language	English (US)
Pages (from-to)	101-108
Number of pages	8
Journal	Communications In Mathematical Physics
Volume	127
Issue number	1
DOIs	https://doi.org/10.1007/BF02096495
State	Published - Jan 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02096495

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title = "Decay estimates for Schr{\"o}dinger equations",

abstract = "We prove global existence and optimal decay estimates for classical solutions with small initial data for nonlinear nonlocal Schr{\"o}dinger equations. The Laplacian in the Schr{\"o}dinger equation can be replaced by an operator corresponding to a non-degenerate quadratic form of arbitrary signature. In particular, the Davey-Stewartson system is included in the the class of equations we discuss.",

author = "Peter Constantin",

year = "1990",

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language = "English (US)",

volume = "127",

pages = "101--108",

journal = "Communications In Mathematical Physics",

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AU - Constantin, Peter

PY - 1990/1

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N2 - We prove global existence and optimal decay estimates for classical solutions with small initial data for nonlinear nonlocal Schrödinger equations. The Laplacian in the Schrödinger equation can be replaced by an operator corresponding to a non-degenerate quadratic form of arbitrary signature. In particular, the Davey-Stewartson system is included in the the class of equations we discuss.

AB - We prove global existence and optimal decay estimates for classical solutions with small initial data for nonlinear nonlocal Schrödinger equations. The Laplacian in the Schrödinger equation can be replaced by an operator corresponding to a non-degenerate quadratic form of arbitrary signature. In particular, the Davey-Stewartson system is included in the the class of equations we discuss.

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U2 - 10.1007/BF02096495

DO - 10.1007/BF02096495

M3 - Article

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VL - 127

SP - 101

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 1

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Decay estimates for Schrödinger equations

Abstract

All Science Journal Classification (ASJC) codes

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