Found 471 Documents (Results 1–100)
Comparison of approximation methods for bending of finite and infinite elastic plates: the traction boundary value problem. (English) Zbl 07872015
Critical perturbations for second order elliptic operators. II: Non-tangential maximal function estimates. (English) Zbl 07834570
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Continuity of the double layer potential of a second order elliptic differential operator in Schauder spaces on the boundary. (English) Zbl 1539.31003
Reviewer: Marius Ghergu (Dublin)
Analytical Galerkin boundary integrals of Laplace kernel layer potentials in \(\mathbb{R}^3\). (English) Zbl 1535.65310
On one semi-analytical approximation of the normal derivative of the simple layer potential near the boundary of a two-dimensional domain. (Russian. English summary) Zbl 1535.65035
A time-domain boundary element method for the 3D dissipative wave equation: case of Neumann problems. (English) Zbl 1532.65070
Estimation of quadrature errors for layer potentials evaluated near surfaces with spherical topology. (English) Zbl 1530.65031
MSC:
65D32
Acoustic cavitation using resonating microbubbles: analysis in the time-domain. (English) Zbl 1526.35115
The Neumann problem on the domain in \(\mathbb{S}^3\) bounded by the Clifford torus. (English) Zbl 1522.58013
Reviewer: Mohammed El Aïdi (Bogotá)
Heat generation using Lorentzian nanoparticles: estimation via time-domain techniques. (English) Zbl 1530.35295
Geometric harmonic analysis IV. Boundary layer potentials in uniformly rectifiable domains, and applications to complex analysis. (English) Zbl 1526.42001
Developments in Mathematics 75. Cham: Springer (ISBN 978-3-031-29178-4/hbk; 978-3-031-29181-4/pbk; 978-3-031-29179-1/ebook). xix, 992 p. (2023).
Reviewer: Mohammed El Aïdi (Bogotá)
Convergence rate for the homogenization of diffusions in dilutely perforated domains with reflecting boundaries. (English) Zbl 1515.35036
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains. (English) Zbl 1516.31013
\(L^2\)-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type. (English) Zbl 1515.42018
Reviewer: Felipe Ponce-Vanegas (Bilbao)
Commutator estimates for the Dirichlet-to-Neumann map associated to parabolic equations with complex-valued and measurable coefficients on \(\mathbb{R}_+^{n + 2} \). (English) Zbl 1507.35098
High order topological asymptotics: reconciling layer potentials and compound asymptotic expansions. (English) Zbl 1501.35033
High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem. (English) Zbl 1511.47095
Critical perturbations for second-order elliptic operators. I: Square function bounds for layer potentials. (English) Zbl 1517.35111
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Analysis of approximate solution for a class of systems of integral equations. (English. Russian original) Zbl 1505.65321
Comput. Math. Math. Phys. 62, No. 5, 811-826 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 5, 838-853 (2022).
MSC:
65R20
Singular integral operators, quantitative flatness, and boundary problems. (English) Zbl 1509.42002
Progress in Mathematics 344. Cham: Birkhäuser (ISBN 978-3-031-08233-7/hbk; 978-3-031-08234-4/ebook). viii, 601 p. (2022).
Reviewer: Raymond Johnson (Columbia)
An adaptive kernel-split quadrature method for parameter-dependent layer potentials. (English) Zbl 1483.65038
Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems. (English) Zbl 1485.35419
Mathematical modelling of buried electrode resistivity response from a three-layered conductive medium containing transitional layers. (English) Zbl 1499.86015
MSC:
86A20
The \(\dot{W}^{-1, p}\) Neumann problem for higher order elliptic equations. (English) Zbl 1481.35161
Reviewer: Paolo Musolino (Padova)
Symmetrization of a Cauchy-like kernel on curves. (English) Zbl 1476.30034
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Unique reconstruction of simple magnetizations from their magnetic potential. (English) Zbl 1469.86013
MSC:
86A25
Layer potential theory for the anisotropic Stokes system with variable \(L_{\infty}\) symmetrically elliptic tensor coefficient. (English) Zbl 1482.35088
Reviewer: Massimo Lanza de Cristoforis (Padova)
\(L^2\) estimates for commutators of the Dirichlet-to-Neumann map associated to elliptic operators with complex-valued bounded measurable coefficients on \(\mathbb{R}_+^{n+1}\). (English) Zbl 1473.35166
MSC:
35J25
Quadrature formula for the harmonic double layer potential. (English. Russian original) Zbl 1473.31002
Differ. Equ. 57, No. 7, 901-920 (2021); translation from Differ. Uravn. 57, No. 7, 932-950 (2021).
MSC:
31B15
Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density. (English) Zbl 1471.35088
Decomposition of \(L^2\)-vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential. (English) Zbl 1469.31008
\(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability. (English) Zbl 1473.35148
Reviewer: Dumitru Motreanu (Perpignan)
Finite elements for Helmholtz equations with a nonlocal boundary condition. (English) Zbl 1472.65146
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Geometric properties of integral representations in the inverse problem of a simple layer potential. (English) Zbl 1468.31003
Contact problem for second order parabolic systems in a strip with a nonsmooth interface curve. (English. Russian original) Zbl 1465.35105
Differ. Equ. 57, No. 4, 476-487 (2021); translation from Differ. Uravn. 57, No. 4, 496-506 (2021).
Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes. (English) Zbl 1456.35020
Reviewer: Adrian Muntean (Karlstad)
A quadrature formula for the derivative of logarithmic potentials. (Russian. English summary) Zbl 1516.31004
Direct and inverse problems for the simple layer logarithmic potential. (English. Russian original) Zbl 1468.30060
Russ. Math. 64, No. 11, 1-10 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 11, 3-14 (2020).
An \({L^p}\) inhomogeneous polyharmonic Neumann problem on Lipschitz domains in \({\mathbb{R}^n}\). (Chinese. English summary) Zbl 1463.31006
Extension of the Günter derivatives to the Lipschitz domains and application to the boundary potentials of elastic waves. (English. Russian original) Zbl 1455.35049
J. Appl. Mech. Tech. Phys. 61, No. 1, 139-156 (2020); translation from Prikl. Mekh. Tekh. Fiz. 61, No. 1, 161-183 (2020).
A family of potentials for elliptic equations with one singular coefficient and their applications. (English) Zbl 1454.35181
Regularizing properties of space-periodic layer heat potentials and applications to boundary value problems in periodic domains. (English) Zbl 1446.35048
Boundary integral approach for the mixed Dirichlet-Robin boundary value problem for the nonlinear Darcy-Forchheimer-Brinkman system. (English) Zbl 1448.35146
Reviewer: Dagmar Medková (Praha)
A Poisson problem of transmission-type for the Stokes and generalized Brinkman systems in complementary Lipschitz domains in \(\mathbb{R}^3\). (English) Zbl 1436.35119
On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries. (English) Zbl 1437.35535
Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation. II. (English) Zbl 1433.35014
MSC:
35J05
On the derivative of the double-layer logarithmic potential. (Russian. English summary) Zbl 1497.31004
MSC:
31A15
Periodic transmission problems for the heat equation. (English) Zbl 1444.35092
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. 211-223 (2019).
Estimation of the heat conducted by a cluster of small cavities and characterization of the equivalent heat conduction. (English) Zbl 1439.35187
A note on the displacement problem of elastostatics with singular boundary values. (English) Zbl 1432.74030
Boundary value problems in Lipschitz domains for equations with lower order coefficients. (English) Zbl 1479.35310
Asymptotic expansion of the solution of a transmission problem for the Stokes system with a small boundary perturbation for an inclusion. (English) Zbl 1432.35161
Reviewer: Dazmir Shulaia (Tbilisi)
Bounds on layer potentials with rough inputs for higher order elliptic equations. (English) Zbl 1426.35112
Full asymptotics and Laurent series of layer potentials for Laplace’s equation on the half-space. (English) Zbl 1422.35036
Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D. (English) Zbl 1416.65491
On elliptic systems of two equations on the plane. (English) Zbl 1418.35135
Rogosin, Sergei (ed.) et al., Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 279-301 (2019).
Newtonian and single layer potentials for the Stokes system with \(L^\infty\) coefficients and the exterior Dirichlet problem. (English) Zbl 1418.35115
Rogosin, Sergei (ed.) et al., Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 237-260 (2019).
Boundary element method for a free third boundary problem modeling tumor growth with spectral accuracy. (English) Zbl 1458.92023
Bending of elastic plates with transverse shear deformation: the Neumann problem. (English) Zbl 1405.31004
On the surface integral approximation of the second derivatives of the potential of a bulk charge located in a layer of small thickness. (English. Russian original) Zbl 1408.31005
Differ. Equ. 54, No. 9, 1236-1255 (2018); translation from Differ. Uravn. 54, No. 9, 1262-1281 (2018).
MSC:
31B15
Layer potentials and Poisson problems for the nonsmooth coefficient Brinkman system in Sobolev and Besov spaces. (English) Zbl 1447.35139
Reviewer: Massimo Lanza de Cristoforis (Padova)
On the numerical solution of the exterior elastodynamic problem by a boundary integral equation method. (English) Zbl 1408.65093
Mathematical and computational methods in photonics and phononics. (English) Zbl 1420.78001
Mathematical Surveys and Monographs 235. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4800-4/hbk; 978-1-4704-4909-4/ebook). viii, 509 p. (2018).
Reviewer: Eric Stachura (Marietta)
The Robin problem for the Brinkman system and for the Darcy-Forchheimer-Brinkman system. (English) Zbl 1404.35367
Elements of potential theory on Carnot groups. (English. Russian original) Zbl 1401.31023
Funct. Anal. Appl. 52, No. 2, 158-161 (2018); translation from Funkts. Anal. Prilozh. 52, No. 2, 94-98 (2018).
Boundary-value problems for the Helmholtz equation for a half-plane with a Lipschitz inclusion. (English) Zbl 1401.35037
Simply and doubly periodic arrangements of the equi-stress holes in a perforated elastic plane: the single-layer potential approach. (English) Zbl 1395.74010
On a polyharmonic Dirichlet problem and boundary effects in surface spline approximation. (English) Zbl 1400.31005
A local target specific quadrature by expansion method for evaluation of layer potentials in 3D. (English) Zbl 1398.65356
Periodic homogenization of elliptic systems. (English) Zbl 1409.35007
Operator Theory: Advances and Applications 269. Advances in Partial Differential Equations. Cham: Birkhäuser (ISBN 978-3-319-91213-4/hbk; 978-3-319-91214-1/ebook). ix, 291 p. (2018).
Reviewer: Lutz Recke (Berlin)
Double layer potentials on three-dimensional wedges and pseudodifferential operators on Lie groupoids. (English) Zbl 1437.35152
Reviewer: David Kapanadze (Tbilisi)
Adaptive wavelet BEM for boundary integral equations: theory and numerical experiments. (English) Zbl 1388.31008
Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles. (English) Zbl 1388.31010
A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems. (English) Zbl 1393.65025
Second kind integral equation formulation for the mode calculation of optical waveguides. (English) Zbl 1388.31004
Asymptotic behavior of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions. (English) Zbl 1403.35191
Reviewer: Vassilis G. Papanicolaou (Athena)
\(L^2\)-solvability of the Dirichlet, Neumann and regularity problems for parabolic equations with time-independent Hölder-continuous coefficients. (English) Zbl 1386.35144
Reviewer: Maria Alessandra Ragusa (Catania)
About a nonlocal initial boundary value problem for the time-fractional diffusion equation. (English) Zbl 1499.35676
Subwavelength phononic bandgap opening in bubbly media. (English) Zbl 1401.35331
Reviewer: Eric Stachura (Marietta)
A characterization of circles by single layer potentials. (English) Zbl 1384.31001
Reviewer: Boris A. Kats (Kazan)
MSC:
31A15
Square function estimates on layer potentials for higher-order elliptic equations. (English) Zbl 1381.35035
Reviewer: Paolo Musolino (Padova)
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