Shenk, N.; Thoe, D. Outgoing solutions of \((-\Delta + q - k^ 2)u=f\) in an exterior domain. (English) Zbl 0201.13202 J. Math. Anal. Appl. 31, 81-116 (1970). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 Documents × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Reichardt, H., Ausstrahlungsbedingungen für die Wellengleichung, (Abh. Math. Sem. Univ. Hamburg, 24 (1960)), 41-53 · Zbl 0100.09501 [2] Werner, P., Randwertprobleme der mathematischen Akustik, Arch. Ration. Mech. Anal., 10, 29-66 (1962) · Zbl 0105.07405 [3] Werner, P., Beugunsprobleme der mathematischen Akustik, Arch. Ration. Mech. Anal., 12, 155-184 (1963) · Zbl 0112.20303 [4] Mizohata, S., Sur l’analyticité de la fonction spectrale de l’opérateur Δ relatif au problème extérieur, (Proc. Jap. Acad., 39 (1963)), 352-357 · Zbl 0122.33802 [5] Wilcox, C., The analytic continuation of the resolvent kernel in scattering theory, (Edinburgh conference on partial differential equations (September, 1967)) [6] Steinberg, S., Meromorphic families of compact operators, Arch. Ration. Mech. Anal., 31, 372-380 (1968) · Zbl 0167.43002 [7] N. Shenk and D. ThoeJ. Math. Anal. Appl.; N. Shenk and D. ThoeJ. Math. Anal. Appl. · Zbl 0254.47017 [8] Shenk, N., Eigenfunction expansions and scattering theory for the wave equation in an exterior region, Arch. Ration. Mech. Anal., 21, 120-150 (1966) · Zbl 0135.15602 [9] Thoe, D., Eigenfunction expansions associated with Schroedinger operators in \(R^n, n\) ⩾ 4, Arch. Ration. Mech. Anal., 26, 335-356 (1967) · Zbl 0168.12501 [10] N. Shenk and D. ThoeJ. Math. Anal. Appl.; N. Shenk and D. ThoeJ. Math. Anal. Appl. · Zbl 0229.35072 [11] Dolph, C. L.; McLeod, J. B.; Thoe, D., The analytic continuation of the resolvent kernel and scattering operator associated with the Schroedinger operator, J. Math. Anal. Appl., 16, 311-332 (1966) · Zbl 0148.35904 [12] Lax, P. D.; Phillips, R. S., Scattering Theory (1967), Academic Press: Academic Press New York · Zbl 0214.12002 [13] Schwartze, G., Über die 1., 2., and 3. äussere Randwertaufgabe der Schwingungsgleichung \(ΔF + k^2F = 0\), Math. Nachr., 28, 337-363 (1965) · Zbl 0142.37502 [14] Ikebe, T., On the eigenfunction expansion connected with the exterior problem for the Schroedinger equation, Jap. J. Math., 36, 33-55 (1967) · Zbl 0164.13603 [15] Ikebe, T., Scattering for the Schroedinger operator in an exterior domain, J. Math. Kyoto Univ., 7, 93-112 (1967) · Zbl 0153.42503 [16] Wilcox, C., Spherical means and radiation conditions, Arch. Ration. Mech. Anal., 3, 113-148 (1959) · Zbl 0087.09603 [17] Watson, G. N., Theory of Bessel Functions (1966), Cambridge Univ. Press: Cambridge Univ. Press London/New York · Zbl 0174.36202 [18] (Handbook of Mathematical Functions (1964), National Bureau of Standards) [19] Miranda, C., Equazioni alle Derivate Parziali di Tipo Ellittico (1955), Springer Pub: Springer Pub New York · Zbl 0065.08503 [20] Sovolev, S. L., Applications of Functional Analysis in Mathematical Physics (1963), Amer. Math. Soc: Amer. Math. Soc Providence, R.I · Zbl 0123.09003 [21] Kato, T., Growth properties of solutions of the reduced wave equation with a variable coefficient, Comm. Pure Appl. Math., 12, 403-425 (1959) · Zbl 0091.09502 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.