Boussaid, Nabile; Comech, Andrew Limiting absorption principle and virtual levels of operators in Banach spaces. (English. French summary) Zbl 1485.35300 Ann. Math. Qué. 46, No. 1, 161-180 (2022). MSC: 35P05 47A40 47B01 78A45 PDF BibTeX XML Cite \textit{N. Boussaid} and \textit{A. Comech}, Ann. Math. Qué. 46, No. 1, 161--180 (2022; Zbl 1485.35300) Full Text: DOI arXiv OpenURL
François, Stijn; Goh, Heedong; Kallivokas, Loukas F. Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation. (English) Zbl 07340397 Comput. Methods Appl. Mech. Eng. 377, Article ID 113704, 23 p. (2021); corrigendum ibid. 400, Article ID 115578, 2 p. (2022). MSC: 74J05 74S05 65M60 74-10 PDF BibTeX XML Cite \textit{S. François} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113704, 23 p. (2021; Zbl 07340397) Full Text: DOI Link OpenURL
Gordin, Vladimir A.; Shemendyuk, Aleksandr A. Discrete transparent boundary conditions for the equation of rod transverse vibrations. (English) Zbl 1481.74258 Appl. Math. Modelling 88, 550-572 (2020). MSC: 74H45 74K10 PDF BibTeX XML Cite \textit{V. A. Gordin} and \textit{A. A. Shemendyuk}, Appl. Math. Modelling 88, 550--572 (2020; Zbl 1481.74258) Full Text: DOI arXiv OpenURL
Schweizer, Ben; Urban, Maik On a limiting absorption principle for sesquilinear forms with an application to the Helmholtz equation in a waveguide. (English) Zbl 1459.35104 Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser. Trends Math., 291-307 (2020). MSC: 35J05 35J25 PDF BibTeX XML Cite \textit{B. Schweizer} and \textit{M. Urban}, in: Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23--27, 2018. Cham: Birkhäuser. 291--307 (2020; Zbl 1459.35104) Full Text: DOI Link OpenURL
Hu, Guanghui; Li, Jingzhi Inverse source problems in an inhomogeneous medium with a single far-field pattern. (English) Zbl 1467.35348 SIAM J. Math. Anal. 52, No. 5, 5213-5231 (2020). Reviewer: Giovanni S. Alberti (Genova) MSC: 35R30 35J05 78A46 51M20 35P25 35A02 PDF BibTeX XML Cite \textit{G. Hu} and \textit{J. Li}, SIAM J. Math. Anal. 52, No. 5, 5213--5231 (2020; Zbl 1467.35348) Full Text: DOI arXiv OpenURL
Chern, Albert A reflectionless discrete perfectly matched layer. (English) Zbl 1451.65132 J. Comput. Phys. 381, 91-109 (2019). MSC: 65M22 30G25 65E05 35L05 65M06 PDF BibTeX XML Cite \textit{A. Chern}, J. Comput. Phys. 381, 91--109 (2019; Zbl 1451.65132) Full Text: DOI arXiv OpenURL
Lamacz, A.; Schweizer, B. Outgoing wave conditions in photonic crystals and transmission properties at interfaces. (English) Zbl 1414.35222 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1913-1945 (2018). MSC: 35Q60 35P25 35B27 35J05 78A40 PDF BibTeX XML Cite \textit{A. Lamacz} and \textit{B. Schweizer}, ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1913--1945 (2018; Zbl 1414.35222) Full Text: DOI arXiv OpenURL
Marmolejo-Olea, Emilio; Mitrea, I.; Mitrea, D.; Mitrea, M. Radiation conditions and integral representations for Clifford algebra-valued null-solutions of the Helmholtz operator. (English. Russian original) Zbl 1395.78015 J. Math. Sci., New York 231, No. 3, 367-472 (2018); translation from Probl. Mat. Anal. 91, 79-167 (2015). MSC: 78A25 35Q60 30G35 35J05 78-02 15A66 PDF BibTeX XML Cite \textit{E. Marmolejo-Olea} et al., J. Math. Sci., New York 231, No. 3, 367--472 (2018; Zbl 1395.78015); translation from Probl. Mat. Anal. 91, 79--167 (2015) Full Text: DOI OpenURL
Frisch, Mathias; Pietsch, Wolfgang Reassessing the Ritz-Einstein debate on the radiation asymmetry in classical electrodynamics. (English) Zbl 1348.78008 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 55, 13-23 (2016). MSC: 78A25 78A40 78A02 00A79 PDF BibTeX XML Cite \textit{M. Frisch} and \textit{W. Pietsch}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 55, 13--23 (2016; Zbl 1348.78008) Full Text: DOI OpenURL
Balin, Nolwenn; Casenave, Fabien; Dubois, François; Duceau, Eric; Duprey, Stefan; Terrasse, Isabelle Boundary element and finite element coupling for aeroacoustics simulations. (English) Zbl 1349.76172 J. Comput. Phys. 294, 274-296 (2015). MSC: 76M10 76M15 65N30 65N38 76Q05 PDF BibTeX XML Cite \textit{N. Balin} et al., J. Comput. Phys. 294, 274--296 (2015; Zbl 1349.76172) Full Text: DOI arXiv OpenURL
Evéquoz, Gilles A dual approach in Orlicz spaces for the nonlinear Helmholtz equation. (English) Zbl 1333.35016 Z. Angew. Math. Phys. 66, No. 6, 2995-3015 (2015). Reviewer: Leszek Gasiński (Kraków) MSC: 35J20 35J05 PDF BibTeX XML Cite \textit{G. Evéquoz}, Z. Angew. Math. Phys. 66, No. 6, 2995--3015 (2015; Zbl 1333.35016) Full Text: DOI OpenURL
Evéquoz, Gilles; Weth, Tobias Real solutions to the nonlinear Helmholtz equation with local nonlinearity. (English) Zbl 1285.35003 Arch. Ration. Mech. Anal. 211, No. 2, 359-388 (2014). MSC: 35J05 35J60 35A15 PDF BibTeX XML Cite \textit{G. Evéquoz} and \textit{T. Weth}, Arch. Ration. Mech. Anal. 211, No. 2, 359--388 (2014; Zbl 1285.35003) Full Text: DOI arXiv OpenURL
Svanadze, Maia M. Potential method in the linear theory of viscoelastic materials with voids. (English) Zbl 1451.74057 J. Elasticity 114, No. 1, 101-126 (2014). MSC: 74D05 74H45 74H20 74H25 74J05 PDF BibTeX XML Cite \textit{M. M. Svanadze}, J. Elasticity 114, No. 1, 101--126 (2014; Zbl 1451.74057) Full Text: DOI OpenURL
Liu, Lihan; Qin, Yuehai; Xu, Yongzhi; Zhao, Yuqiu The uniqueness and existence of solutions for the 3-D Helmholtz equation in a stratified medium with unbounded perturbation. (English) Zbl 1279.35015 Math. Methods Appl. Sci. 36, No. 15, 2033-2047 (2013). MSC: 35J05 35J08 35J15 76Q05 PDF BibTeX XML Cite \textit{L. Liu} et al., Math. Methods Appl. Sci. 36, No. 15, 2033--2047 (2013; Zbl 1279.35015) Full Text: DOI OpenURL
Zubeldia, Miren Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation. (English) Zbl 1269.35041 J. Funct. Anal. 263, No. 9, 2832-2862 (2012). MSC: 35Q60 35B38 78A40 PDF BibTeX XML Cite \textit{M. Zubeldia}, J. Funct. Anal. 263, No. 9, 2832--2862 (2012; Zbl 1269.35041) Full Text: DOI arXiv OpenURL
Ciraolo, Giulio; Magnanini, Rolando A radiation condition for uniqueness in a wave propagation problem for 2-D open waveguides. (English) Zbl 1168.78306 Math. Methods Appl. Sci. 32, No. 10, 1183-1206 (2009). MSC: 78A40 35J05 78A50 35A05 PDF BibTeX XML Cite \textit{G. Ciraolo} and \textit{R. Magnanini}, Math. Methods Appl. Sci. 32, No. 10, 1183--1206 (2009; Zbl 1168.78306) Full Text: DOI arXiv Link OpenURL
Xing, Jing Tang An investigation into natural vibrations of fluid-structure interaction systems subject to Sommerfeld radiation condition. (English) Zbl 1257.74081 Acta Mech. Sin. 24, No. 1, 69-82 (2008). MSC: 74H45 74F10 PDF BibTeX XML Cite \textit{J. T. Xing}, Acta Mech. Sin. 24, No. 1, 69--82 (2008; Zbl 1257.74081) Full Text: DOI OpenURL
Torun, Gülten; Anar, İbrahim Ethem The electromagnetic scattering problem: the case of TE polarized waves. (English) Zbl 1076.78007 Appl. Math. Comput. 169, No. 1, 339-354 (2005). MSC: 78A45 PDF BibTeX XML Cite \textit{G. Torun} and \textit{İ. E. Anar}, Appl. Math. Comput. 169, No. 1, 339--354 (2005; Zbl 1076.78007) Full Text: DOI OpenURL
Dassios, George The Atkinson-Wilcox theorem in ellipsoidal geometry. (English) Zbl 1013.35057 J. Math. Anal. Appl. 274, No. 2, 828-845 (2002). Reviewer: Ricardo Weder (México D.F.) MSC: 35P25 74J20 PDF BibTeX XML Cite \textit{G. Dassios}, J. Math. Anal. Appl. 274, No. 2, 828--845 (2002; Zbl 1013.35057) Full Text: DOI OpenURL
Akbarov, S. D.; Ozaydin, Okan The effect of initial stresses on harmonic stress fields within the stratified half-plane. (English) Zbl 1049.74016 Eur. J. Mech., A, Solids 20, No. 3, 385-396 (2001). MSC: 74E05 74B05 PDF BibTeX XML Cite \textit{S. D. Akbarov} and \textit{O. Ozaydin}, Eur. J. Mech., A, Solids 20, No. 3, 385--396 (2001; Zbl 1049.74016) Full Text: DOI OpenURL
Shirron, Joseph J.; Babuška, Ivo A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems. (English) Zbl 0962.76055 Comput. Methods Appl. Mech. Eng. 164, No. 1-2, 121-139 (1998). MSC: 76M10 76Q05 PDF BibTeX XML Cite \textit{J. J. Shirron} and \textit{I. Babuška}, Comput. Methods Appl. Mech. Eng. 164, No. 1--2, 121--139 (1998; Zbl 0962.76055) Full Text: DOI OpenURL
Natroshvili, D. Two-dimensional steady-state oscillation problems of anisotropic elasticity. (English) Zbl 0848.35022 Georgian Math. J. 3, No. 3, 239-262 (1996). MSC: 35E05 74G30 74H25 74H45 PDF BibTeX XML Cite \textit{D. Natroshvili}, Georgian Math. J. 3, No. 3, 239--262 (1996; Zbl 0848.35022) Full Text: EuDML EMIS OpenURL
Isozaki, Hiroshi A generalization of the radiation condition of Sommerfeld for \(N\)-body Schrödinger operators. (English) Zbl 0811.35107 Duke Math. J. 74, No. 2, 557-584 (1994). Reviewer: E.D.Belokolos (Kiev) MSC: 35Q40 81V70 35A05 81Q10 PDF BibTeX XML Cite \textit{H. Isozaki}, Duke Math. J. 74, No. 2, 557--584 (1994; Zbl 0811.35107) Full Text: DOI OpenURL
Schot, Steven H. Eighty years of Sommerfeld’s radiation condition. (English) Zbl 0763.01020 Hist. Math. 19, No. 4, 385-401 (1992). Reviewer: S.L.Segal (Rochester) MSC: 01A60 78A40 35-03 PDF BibTeX XML Cite \textit{S. H. Schot}, Hist. Math. 19, No. 4, 385--401 (1992; Zbl 0763.01020) Full Text: DOI OpenURL
Srivastava, Sadanand; Zischka, K. A. Radiation conditions and uniqueness theorem for \(n\)-dimensional wave equation in an infinite domain. (English) Zbl 0271.35023 J. Math. Anal. Appl. 45, 764-776 (1974). MSC: 35J25 35J05 35A05 35J10 PDF BibTeX XML Cite \textit{S. Srivastava} and \textit{K. A. Zischka}, J. Math. Anal. Appl. 45, 764--776 (1974; Zbl 0271.35023) Full Text: DOI OpenURL
Roach, G. F.; Adams, R. A. An intrinsic approach to radiation conditions. (English) Zbl 0241.35018 J. Math. Anal. Appl. 39, 433-444 (1972). MSC: 35J05 PDF BibTeX XML Cite \textit{G. F. Roach} and \textit{R. A. Adams}, J. Math. Anal. Appl. 39, 433--444 (1972; Zbl 0241.35018) Full Text: DOI OpenURL
Mochizuki, Kiyoshi Some remarks on radiation conditions. (English) Zbl 0199.41702 Proc. Japan Acad. 45, 700-705 (1969). PDF BibTeX XML Cite \textit{K. Mochizuki}, Proc. Japan Acad. 45, 700--705 (1969; Zbl 0199.41702) Full Text: DOI OpenURL
Ar, Ergun; Kleinman, R. E. The exterior Neumann problem for the three-dimensional Helmholtz equation. (English) Zbl 0149.31804 Arch. Ration. Mech. Anal. 23, 218-236 (1966). Reviewer: Rolf Leis (Bonn) MSC: 35J05 35J40 35C10 PDF BibTeX XML Cite \textit{E. Ar} and \textit{R. E. Kleinman}, Arch. Ration. Mech. Anal. 23, 218--236 (1966; Zbl 0149.31804) Full Text: DOI OpenURL
Kleinman, R. E. The Dirichlet problem for the Helmholtz equation. (English) Zbl 0132.33701 Arch. Ration. Mech. Anal. 18, 205-229 (1965). PDF BibTeX XML Cite \textit{R. E. Kleinman}, Arch. Ration. Mech. Anal. 18, 205--229 (1965; Zbl 0132.33701) Full Text: DOI OpenURL
Brakhage, H.; Werner, P. Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung. (German) Zbl 0132.33601 Arch. Math. 16, 325-329 (1965). PDF BibTeX XML Cite \textit{H. Brakhage} and \textit{P. Werner}, Arch. Math. 16, 325--329 (1965; Zbl 0132.33601) Full Text: DOI OpenURL
Werner, P. Über die Randwertprobleme der Helmholtzschen Schwingungsgleichung. (German) Zbl 0151.16001 Math. Z. 85, 226-240 (1964). PDF BibTeX XML Cite \textit{P. Werner}, Math. Z. 85, 226--240 (1964; Zbl 0151.16001) Full Text: DOI EuDML OpenURL
Werner, P. On the exterior boundary value problem of perfect reflection for stationary electromagnetic wave fields. (English) Zbl 0118.43501 J. Math. Anal. Appl. 7, 348-396 (1963). PDF BibTeX XML Cite \textit{P. Werner}, J. Math. Anal. Appl. 7, 348--396 (1963; Zbl 0118.43501) Full Text: DOI OpenURL
Meister, Erhard Ein Eindeutigkeitsbeweis für ein gemischtes Randwertproblem der Schwingungsgleichung. (German) Zbl 0103.07001 Math. Z. 77, 38-44 (1961). PDF BibTeX XML Cite \textit{E. Meister}, Math. Z. 77, 38--44 (1961; Zbl 0103.07001) Full Text: DOI EuDML OpenURL
Werner, Peter Zur mathematischen Theorie akustischer Wellenfelder. (German) Zbl 0097.21103 Arch. Ration. Mech. Anal. 6, 231-260 (1960). PDF BibTeX XML Cite \textit{P. Werner}, Arch. Ration. Mech. Anal. 6, 231--260 (1960; Zbl 0097.21103) Full Text: DOI OpenURL
Wilcox, Calvin H. Spherical means and radiation conditions. (English) Zbl 0087.09603 Arch. Ration. Mech. Anal. 3, 133-148 (1959). PDF BibTeX XML Cite \textit{C. H. Wilcox}, Arch. Ration. Mech. Anal. 3, 133--148 (1959; Zbl 0087.09603) Full Text: DOI OpenURL
Bär, R. Über Greensche Randwertaufgaben bei der Schwingungsgleichung. (German) JFM 46.0735.01 Math. Ann. 78, 177-186 (1917). PDF BibTeX XML Cite \textit{R. Bär}, Math. Ann. 78, 177--186 (1917; JFM 46.0735.01) Full Text: DOI EuDML OpenURL