Stability theory of solitary waves in the presence of symmetry, II

Manoussos Grillakis; Jalal Shatah; Walter Strauss

doi:10.1016/0022-1236(90)90016-E

Stability theory of solitary waves in the presence of symmetry, II

Manoussos Grillakis, Jalal Shatah, Walter Strauss

Mathematics

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

Abstract

Consider an abstract Hamiltonian system which is invariant under a group of operators. We continue to study the effect of the group invariance on the stability of solitary waves. Applications are given to bound states and traveling wave solutions of nonlinear wave equations.

Original language	English (US)
Pages (from-to)	308-348
Number of pages	41
Journal	Journal of Functional Analysis
Volume	94
Issue number	2
DOIs	https://doi.org/10.1016/0022-1236(90)90016-E
State	Published - Dec 1990

ASJC Scopus subject areas

Analysis

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10.1016/0022-1236(90)90016-E

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title = "Stability theory of solitary waves in the presence of symmetry, II",

abstract = "Consider an abstract Hamiltonian system which is invariant under a group of operators. We continue to study the effect of the group invariance on the stability of solitary waves. Applications are given to bound states and traveling wave solutions of nonlinear wave equations.",

author = "Manoussos Grillakis and Jalal Shatah and Walter Strauss",

note = "Funding Information: *This work was supported in part by the National Science Foundation under Grants DMS-87-22331 and DMS-8600247, by an IBM Visiting Members Grant at the Courant Institute, and by the Sloan Foundation.",

year = "1990",

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doi = "10.1016/0022-1236(90)90016-E",

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AU - Shatah, Jalal

AU - Strauss, Walter

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PY - 1990/12

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N2 - Consider an abstract Hamiltonian system which is invariant under a group of operators. We continue to study the effect of the group invariance on the stability of solitary waves. Applications are given to bound states and traveling wave solutions of nonlinear wave equations.

AB - Consider an abstract Hamiltonian system which is invariant under a group of operators. We continue to study the effect of the group invariance on the stability of solitary waves. Applications are given to bound states and traveling wave solutions of nonlinear wave equations.

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Stability theory of solitary waves in the presence of symmetry, II

Abstract

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