Eigenvalues and resonances using the Evans function | Zendy

Todd Kapitula | Zendy; Björn Sandstede | Zendy

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Eigenvalues and resonances using the Evans function

Author(s) -

Todd Kapitula,

Björn Sandstede

Publication year - 2004

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2004.10.857

Subject(s) - integrable system , eigenvalues and eigenvectors , linearization , mathematical analysis , continuation , function (biology) , mathematics , analytic continuation , mathematical physics , physics , nonlinear system , quantum mechanics , computer science , evolutionary biology , biology , programming language

In this expository paper, we discuss the use of the Evans func- tion in flnding resonances, which are poles of the analytic continuation of the resolvent. We illustrate the utility of the general theory developed in (13, 14) by applying it to two physically interesting test cases: the linear Schrodinger operator and the linearization associated with the integrable non- linear Schrodinger equation.

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