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Start Over Author "Byeon, Jaeyoung" Topic lyapunov functions Publisher european mathematical society - ems - publishing house gmbh
1 results on '"Byeon, Jaeyoung"'

1. Multi-bump standing waves with critical frequency for nonlinear Schrödinger equations

Author

Byeon, Jaeyoung and Oshita, Yoshihito

Subjects
*STANDING waves, *SCHRODINGER equation, *LYAPUNOV functions, *STOCHASTIC convergence, *MATHEMATICAL analysis, *NONLINEAR differential equations
Abstract

Abstract: We glue together standing wave solutions concentrating around critical points of the potential V with different energy scales. We devise a hybrid method using simultaneously a Lyapunov–Schmidt reduction method and a variational method to glue together standing waves concentrating on local minimum points which possibly have no corresponding limiting equations and those concentrating on general critical points which converge to solutions of corresponding limiting problems satisfying a non-degeneracy condition. [Copyright &y& Elsevier]

Published
2010
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