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Found 971 Documents (Results 1–100)

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Smirnov, Yu. G.; Kondyrev, O. V.

On the Fredholm property and solvability of a system of integral equations in the transmission problem for the Helmholtz equation. (English. Russian original) Zbl 07748703

Differ. Equ. 59, No. 8, 1095-1104 (2023); translation from Differ. Uravn. 59, No. 8, 1089-1097 (2023).
MSC:  35J05 35A02 35A01
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\textit{Yu. G. Smirnov} and \textit{O. V. Kondyrev}, Differ. Equ. 59, No. 8, 1095--1104 (2023; Zbl 07748703); translation from Differ. Uravn. 59, No. 8, 1089--1097 (2023)
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Rossovskii, L. E.; Shamin, R. V.

On the effect of irregularity of the domain boundary on the solution of a boundary value problem for the Laplace equation. (English. Russian original) Zbl 1520.35040

Differ. Equ. 59, No. 5, 664-669 (2023); translation from Differ. Uravn. 59, No. 5, 652-657 (2023).
MSC:  35J05 35J25
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\textit{L. E. Rossovskii} and \textit{R. V. Shamin}, Differ. Equ. 59, No. 5, 664--669 (2023; Zbl 1520.35040); translation from Differ. Uravn. 59, No. 5, 652--657 (2023)
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Meyer, Marcela Molina; Prieto Medina, Frank Richard

Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions. (English) Zbl 07336177

Comput. Math. Appl. 89, 1-19 (2021).
MSC:  65N35 35J05 65M70 35J25 65L10
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\textit{M. M. Meyer} and \textit{F. R. Prieto Medina}, Comput. Math. Appl. 89, 1--19 (2021; Zbl 07336177)
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Colbrook, Matthew J.; Kisil, Anastasia V.

A Mathieu function boundary spectral method for scattering by multiple variable poro-elastic plates, with applications to metamaterials and acoustics. (English) Zbl 1472.74117

Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200184, 21 p. (2020).
MSC:  74J20 33E10 35J05 74F10 74S25
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\textit{M. J. Colbrook} and \textit{A. V. Kisil}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200184, 21 p. (2020; Zbl 1472.74117)
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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
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\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)
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Kal’menov, T. Sh.; Otelbaev, M.; Arepova, G. D.

Bitsadze-Samarskii boundary conditions for an elliptic-parabolic volume potential with smooth matching. (English. Russian original) Zbl 1443.35029

Differ. Equ. 56, No. 6, 740-755 (2020); translation from Differ. Uravn. 56, No. 6, 752-767 (2020).
MSC:  35J05 35J25
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\textit{T. Sh. Kal'menov} et al., Differ. Equ. 56, No. 6, 740--755 (2020; Zbl 1443.35029); translation from Differ. Uravn. 56, No. 6, 752--767 (2020)
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Lyalinov, M. A.

Green’s function for the Helmholtz equation in a polygonal domain of special form with ideal boundary conditions. (English. Russian original) Zbl 1437.35179

J. Math. Sci., New York 243, No. 5, 734-745 (2019); translation from Zap. Nauchn. Semin. POMI 471, 150-167 (2018).
MSC:  35J05 35J08 35J25
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\textit{M. A. Lyalinov}, J. Math. Sci., New York 243, No. 5, 734--745 (2019; Zbl 1437.35179); translation from Zap. Nauchn. Semin. POMI 471, 150--167 (2018)
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Glushko, A. V.; Ryabenko, A. S.; Chernikova, A. S.

Steady-state heat distribution in bimaterial with an interface crack. I. (English. Russian original) Zbl 1433.35017

Comput. Math. Math. Phys. 59, No. 6, 978-993 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 6, 1007-1023 (2019).
MSC:  35J05 35K05
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\textit{A. V. Glushko} et al., Comput. Math. Math. Phys. 59, No. 6, 978--993 (2019; Zbl 1433.35017); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 6, 1007--1023 (2019)
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Podolskiy, A. V.; Shaposhnikova, T. A.

Homogenization of the boundary value problem for the Poisson equation with rapidly oscillating nonlinear boundary conditions: Space dimension \(n \geq 3\), critical case. (English. Russian original) Zbl 1421.35018

Dokl. Math. 99, No. 2, 160-164 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 3, 263-268 (2019).
Reviewer: Alain Brillard (Riedisheim)
MSC:  35B27 35J05 35J65 35B40
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\textit{A. V. Podolskiy} and \textit{T. A. Shaposhnikova}, Dokl. Math. 99, No. 2, 160--164 (2019; Zbl 1421.35018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 3, 263--268 (2019)
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