## Found 271 Documents (Results 1–100)

100
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### Nontangential estimates on layer potentials and the Neumann problem for higher-order elliptic equations. (English)Zbl 07458171

MSC:  35J40 35C15
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### Properties of single layer potentials for a pseudo-differential equation related to a linear transformation of a rotationally invariant stable stochastic process. (English)Zbl 1481.60090

MSC:  60G52 35R60
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### Pseudodifferential equations and $$\alpha$$-stable stochastic processes. (Ukrainian. English summary)Zbl 07402544

MSC:  60G17 60G52

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### Bending of elastic plates: generalized Fourier series method for the Robin problem. (English)Zbl 1445.74041

Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 97-109 (2019).
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### On single-layer potentials for a class of pseudo-differential equations related to linear transformations of a symmetric $$\alpha$$-stable stochastic process. (English)Zbl 1456.60120

MSC:  60G52 60J25
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### Hydrodynamic potentials for the creeping motion of a microstretch fluid. (English)Zbl 1425.74154

MSC:  74F10 76B70
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### Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces. (English)Zbl 1412.35223

MSC:  35Q30 35D35 35B65
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### An existence and uniqueness theorem for the Navier-Stokes equations in dimension four. (English)Zbl 1460.76162

MSC:  76D03 35Q30
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### On the third initial-boundary value problem for some class of pseudo-differential equations related to a symmetric $$\alpha$$-stable process. (English)Zbl 1402.35327

MSC:  35S11 60G52
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### Strong solutions of the Navier-Stokes equations with singular data. (English)Zbl 1404.35325

Danchin, Raphaël (ed.) et al., Mathematical analysis in fluid mechanics: selected recent results. International conference on vorticity, rotation and symmetry (IV) – complex fluids and the issue of regularity, CIRM, Luminy, Marseille, France, May 8–12, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3646-9/pbk; 978-1-4704-4807-3/ebook). Contemporary Mathematics 710, 163-173 (2018).
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### A magnetostatic energy formula arising from the $$L^2$$-orthogonal decomposition of the stray field. (English)Zbl 1397.78016

MSC:  78A30 45P05 78M25
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MSC:  31A15
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### An iterative method for a fourth order transmission problem. (English)Zbl 1389.35153

MSC:  35J40 76M25 76D10 35J05

### On injectivity of the single layer logarithmic potential. (English)Zbl 1341.31001

MSC:  31A25 31A10
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### On norm of single layer potentials on segments. (English)Zbl 1344.47035

MSC:  47G40 47A30 47B10
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MSC:  35Q35
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### The fundamental solution of the stationary two-velocity hydrodynamics equation with one pressure. (English)Zbl 1374.76010

MSC:  76A05 35Q35
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MSC:  65N20
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### A fundamental solution to the stationary equation for two-velocity hydrodynamics with single pressure. (Russian)Zbl 1340.76001

MSC:  76A05 35Q35
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MSC:  31B15
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### Dirichlet problem for the diffusion equation outside flat surfaces with boundary. (English. Russian original)Zbl 1314.35032

Russ. Math. Surv. 69, No. 4, 760-762 (2014); translation from Usp. Mat. Nauk 69, No. 4, 183-184 (2014).
MSC:  35J25
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### Transmission problem for the Brinkman system. (English)Zbl 1302.35322

MSC:  35Q35 35Q30 76D07
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### Determination of the insulated inclusion in conductivity problem and related Eshelby conjecture. (English)Zbl 1301.35030

MSC:  35J47 35J15
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MSC:  35K20
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### A method for solving the inverse scattering problems for shape and impedance of crack. (English)Zbl 1299.78035

MSC:  78M25 78A46 65N21
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### The Neumann problem for the planar Stokes system. (English)Zbl 1303.35074

MSC:  35Q35 65N38
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### Solvability of a Dirichlet problem for a time fractional diffusion-wave equation in Lipschitz domains. (English)Zbl 1302.35405

MSC:  35R11 35A01
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### Potential-based numerical solution of Dirichlet problems for the Helmholtz equation. (Russian, English)Zbl 1274.35065

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 8, 1492-1505 (2012); translation in Comput. Math. Math. Phys. 52, No. 8, 1173-1185 (2012).
MSC:  35J05 45B05
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### Solving a modified Helmholtz equation about the nonsmooth regional issues. (Chinese. English summary)Zbl 1274.65329

MSC:  65N85 35J05

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### Transmission problem for the Laplace equation and the integral equation method. (English)Zbl 1233.35076

MSC:  35J05 35D30 45P05
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### Solving the exterior of Dirichlet problem in domains with corners by a single-layer potential. (Chinese. English summary)Zbl 1240.35577

MSC:  35R30 35Q35 76Q05

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### The planar Dirichlet problem for the Stokes equations. (English)Zbl 1321.76019

MSC:  76D07 76N10
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### A potential-theoretic approach to the time-dependent Oseen system. (English)Zbl 1374.35306

Rannacher, Rolf (ed.) et al., Advances in mathematical fluid mechanics. Dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday. Selected papers of the international conference on mathematical fluid mechanics, Estoril, Portugal, May 21–25, 2007. Berlin: Springer (ISBN 978-3-642-04067-2/hbk; 978-3-642-04068-9/ebook). 191-214 (2010).
MSC:  35Q35 76D07 76D03
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### Formulation of indirect BIEs in plane elasticity using single or double layer potentials and complex variable. (English)Zbl 1244.74244

MSC:  74S70 74B05
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### Virtual boundary element method for 3D unsteady diffusion equations. (Chinese. English summary)Zbl 1240.65283

MSC:  65M38 65M70 35K20

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### Boundary integral solution of the time-fractional diffusion equation. (English)Zbl 1190.65148

Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 2: Computational methods. Selected papers based on the presentations at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7–10, 2008. Boston, MA: Birkhäuser (ISBN 978-0-8176-4896-1/hbk; 978-0-8176-4897-8/ebook). 213-222 (2010).
MSC:  65M38 35K05 35R11
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### Boundary hybrid Galerkin method for elliptic and wave propagation problems in $$\mathbb{R}^3$$ over planar structures. (English)Zbl 1192.65149

Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 2: Computational methods. Selected papers based on the presentations at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7–10, 2008. Boston, MA: Birkhäuser (ISBN 978-0-8176-4896-1/hbk; 978-0-8176-4897-8/ebook). 203-212 (2010).
MSC:  65N38 35J05
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### Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions. (English)Zbl 1244.76084

MSC:  76M25 76B10 65N80
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### Unique solvability of the integral equation for harmonic simple layer potential on the boundary of a domain with a peak. (English. Russian original)Zbl 1186.31004

Vestn. St. Petersbg. Univ., Math. 42, No. 2, 120-129 (2009); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2009, No. 2, 62-71 (2009).
MSC:  31B20 35R30
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### Boundary integral solutions of coupled Stokes and Darcy flows. (English)Zbl 1188.76232

MSC:  76M15 76D07 76S05
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### Solution of a coupled system of differential equations. (English. Russian original)Zbl 1193.35219

Differ. Equ. 44, No. 8, 1088-1100 (2008); translation from Differ. Uravn. 44, No. 8, 1056-1067 (2008).
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### Spectral properties of the layer potentials on Lipschitz domains. (English)Zbl 1205.31001

MSC:  31B10 45G10
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### Fast Galerkin BEM for 3D-potential theory. (English)Zbl 1163.65088

MSC:  65N38 65T50 35J05
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### On the uniqueness of a solution of the inverse problem for a simple-layer potential. (Russian, English)Zbl 1164.31002

Ukr. Mat. Zh. 60, No. 7, 892-899 (2008); translation in Ukr. Math. J. 60, No. 7, 1045-1054 (2008).
MSC:  31B20 35R30
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### On the behavior of a simple-layer potential for a parabolic equation on a Riemannian manifold. (Russian, English)Zbl 1164.58005

Ukr. Mat. Zh. 60, No. 7, 879-891 (2008); translation in Ukr. Math. J. 60, No. 7, 1028-1044 (2008).
MSC:  58J35 35K20
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### The cubature formula for the calculation of some class of singular integrals. (Ukrainian. English summary)Zbl 1164.76365

MSC:  76M25 76D10

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### Boundary value problems for the Stokes equations with jumps in open sets. (English)Zbl 1149.76017

MSC:  76D07 35Q30
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### On boundary-driven time-dependent Oseen flows. (English)Zbl 1148.76016

Rencławowicz, Joanna (ed.) et al., Parabolic and Navier-Stokes equations. Part 1. Proceedings of the confererence, Bȩdlewo, Poland, September 10–17, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 81, Pt. 1, 119-132 (2008).
MSC:  76D07 35Q35
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### Mixed boundary value problem of Laplace equation in a bounded Lipschitz domain. (English)Zbl 1135.35024

MSC:  35J25 31B20 35D05 35B45 35C05
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### Comparison of geometrical and algebraic multigrid preconditioners for data-sparse boundary element matrices. (English)Zbl 1142.65346

Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 5th international conference, LSSC 2005, Sozopol, Bulgaria, June 6–10, 2005. Revised papers. Berlin: Springer (ISBN 3-540-31994-8/pbk). Lecture Notes in Computer Science 3743, 130-137 (2006).
MSC:  65F35 65N38
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### The third problem for the Laplace equation with a boundary condition from $$L_p$$. (English)Zbl 1093.31003

MSC:  31B10 35J05 35J25
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### The $$L^p$$ Neumann problem for the heat equation in non-cylindrical domains. (English)Zbl 1065.35125

MSC:  35K20 35K05 42B20
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### Stokes problem of the cornered domain in the plane. (English)Zbl 1096.35107

MSC:  35Q30 76D07 31A10
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### Neumann and Robin problems in a cracked domain with jump conditions on cracks. (English)Zbl 1330.35174

MSC:  35J65 35Q74 74R99
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### Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density. (English)Zbl 1094.31001

MSC:  31B10 47H30
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### A finite element model for the static and dynamic analysis of a piezoelectric bimorph. (English)Zbl 1079.74655

MSC:  74S05 74F15 74E30
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### On finite difference potentials. (English)Zbl 1065.39035

Aulbach, Bernd (ed.) et al., New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30–August 3, 2001. Boca Raton, FL: CRC Press (ISBN 0-415-31675-8/hbk). 471-478 (2004).
MSC:  39A12 35J05 39A70

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### A linear sampling method for near-field inverse problems in elastodynamics. (English)Zbl 1086.35145

MSC:  35R30 74J25 86A22
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### A note on the ellipticity of the single layer potential in two-dimensional linear elastostatics. (English)Zbl 1096.35040

MSC:  35J25 74B05 31A15
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### A kernel-independent adaptive fast multipole algorithm in two and three dimensions. (English)Zbl 1053.65095

MSC:  65N38 35Q30 35J05
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### The oblique derivative problem for the Laplace equation in a plain domain. (English)Zbl 1108.35035

MSC:  35J05 31A10
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### Boundary integral method for an oscillatory Stokes flow past a solid particle. (English)Zbl 1073.76019

MSC:  76D07 76M15

### A fast multipole boundary element method for a modified hypersingular boundary integral equation. (English)Zbl 1065.65134

Wendland, Wolfgang (ed.) et al., Analysis and simulation of multifield problems. Selected papers of the international conference on multifield problems, Stuttgart, Germany, April 8–10, 2002. Berlin: Springer (ISBN 3-540-00696-6/hbk). Lect. Notes Appl. Comput. Mech. 12, 163-169 (2003).
MSC:  65N38 35J05 65F35
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### The impedance problem for the propagative Helmholtz equation in interior multiply connected domain. (English)Zbl 1116.35314

MSC:  35J05 45B05 78A25
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### Multifrequency analysis for the Helmholtz equation. (English)Zbl 1038.76532

MSC:  76M15 76Q05 65N38
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### A robust boundary element method for nearly incompressible linear elasticity. (English)Zbl 1068.74088

MSC:  74S15 74B05
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