The inverse periodic spectral theory of the Euler-Bernoulli equation

Papanicolaou, VG

dc.contributor.author	Papanicolaou, VG	en
dc.date.accessioned	2014-03-01T01:23:11Z
dc.date.available	2014-03-01T01:23:11Z
dc.date.issued	2005	en
dc.identifier.issn	1548-159X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16862
dc.relation.uri	http://www.math.ntua.gr/~papanico/publications/paper31c.pdf	en
dc.relation.uri	http://www.intlpress.com/DPDE/journal/vol2/2-2/DPDE-v02n2-A02.pdf	en
dc.relation.uri	http://intlpress.com/DPDE/journal/vol2/2-2/DPDE-v02n2-A02.pdf	en
dc.subject	Euler-Bernoulli (or beam) operator	en
dc.subject	Euler-Bernoulli equation for the vibrating beam	en
dc.subject	Hill's operator	en
dc.subject	periodic coefficients	en
dc.subject	Floquet theory	en
dc.subject	spectrum	en
dc.subject	pseudospectrum	en
dc.subject	multipoint eigenvalue problem	en
dc.subject	inverse periodic spectral theory	en
dc.subject	Abel's theorem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	MATRIX HILLS EQUATION	en
dc.subject.other	SCHRODINGER-OPERATORS	en
dc.subject.other	TRACE FORMULAS	en
dc.subject.other	VIBRATING BEAM	en
dc.subject.other	SYSTEMS	en
dc.subject.other	SCATTERING	en
dc.title	The inverse periodic spectral theory of the Euler-Bernoulli equation	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	The Floquet (direct spectral) theory of the periodic Euler-Bernoulli equation has been developed by the author in [371, [41], and [38]. A particular case of the inverse problem has been studied in [39]. Here we focus on the inverse periodic spectral problem. A key ingredient is an extended version of Abel's theorem for the existense of meromorphic functions on Riemann Surfaces. To avoid technicalities, we have assumed that the Floquet multiplier has finitely many branch points (in the Hill operator case this corresponds to the assumption that the spectrum has finitely many gaps).	en
heal.publisher	INTERNATIONAL PRESS	en
heal.journalName	DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS	en
dc.identifier.isi	ISI:000240060200002	en
dc.identifier.volume	2	en
dc.identifier.issue	2	en
dc.identifier.spage	127	en
dc.identifier.epage	148	en