Jensen, Arne; Kato, Tosio Asymptotic behavior of the scattering phase for exterior domains. (English) Zbl 0419.35067 Commun. Partial Differ. Equations 3, 1165-1195 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 31 Documents MSC: 35P25 Scattering theory for PDEs 35B40 Asymptotic behavior of solutions to PDEs Keywords:Dirichlet boundary condition; self-adjoint realization; scattering phase; asymptotic formula; Kreins spectral shift function; perturbation; invariance principle; monotonicity; scattering matrix PDF BibTeX XML Cite \textit{A. Jensen} and \textit{T. Kato}, Commun. Partial Differ. Equations 3, 1165--1195 (1978; Zbl 0419.35067) Full Text: DOI OpenURL References: [1] Kato T., Hadronic J 1 pp 134– (1978) [2] Majda A., Duke Math 45 pp 183– (1978) · Zbl 0408.35069 [3] Buslaev V. S., Dokl. Akad. Nauk SSSR 197 pp 999– (1971) [4] Krein M. G., Mat. Sb 33 (75) pp 597– (1953) [5] Krein M. G., Dokl. Akad. Nauk SSSR 144 pp 268– (1962) [6] Birman M. Sh, Dokl. Akad. Nauk SSSR 144 pp 475– (1962) [7] Koplienko L. S., Zap. Naucn. Sem. LOMI 73 pp 102– (1962) [8] Deift P., Functional Anal 23 pp 218– (1976) · Zbl 0344.47007 [9] Kato T., Second Edition (1976) [10] Kato T., J. Functional And 1 pp 342– (1967) · Zbl 0171.12303 [11] Freud G., I, Acta Math. Acad. Sci. Hungar 2 pp 299– (1951) · Zbl 0044.32404 [12] Helton J. W., J. Diff. Eq 21 pp 378– (1976) · Zbl 0343.35069 [13] Protter M. H., Prentice-Hall (1967) [14] Kato T., Ann. Scuola Normale Sup. Ser . IT 5 pp 105– (1978) [15] Rauch J., J. Functional Anal 18 pp 27– (1975) · Zbl 0293.35056 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.