Results 21 to 30 of about 6,239,552 (226)
Inverse scattering for an exterior Dirichlet problem [PDF]
Quarterly of Applied Mathematics, 1982 In this paper we consider scattering due to a metallic cylinder which is in the field of a wire carrying a periodic current. The aim of the paper is to obtain information such as the location and shape of the cylinder with a knowledge of a far-field measurement in between the wire and the cylinder.
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On the exterior Dirichlet problem for Hessian quotient equations [PDF]
Journal of Differential Equations, 2018 In this paper, we establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for Hessian quotient equations with prescribed asymptotic behavior at infinity. This extends the previous related results on the Monge-Ampère equations and on the Hessian equations, and rearranges them in a systematic way.
Li, Dongsheng, Li, Zhisu
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On the exterior Dirichlet problem for Hessian equations
Transactions of the American Mathematical Society, 2014 In this paper, we establish a theorem on the existence of the solutions of the exterior Dirichlet problem for Hessian equations with prescribed asymptotic behavior at infinity. This extends a result of Caffarelli and Li (2003) for the Monge-Ampère equation to Hessian equations.
Bao, Jiguang, Li, Haigang, Li, Yanyan
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Trial methods for Bernoulli's free boundary problem [PDF]
, 2014 Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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Partial Differential Equations in Applied Mathematics, 2021 The complete three-shell spherical human head model in electroencephalography (EEG) is revisited and an analytical solution of the forward problem is derived. The introduced geometrical model involves four concentric spheres that represent the successive
A. Papargiri +4 more
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Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators [PDF]
, 2013 In this note self-adjoint realizations of second order elliptic differential expressions with non-local Robin boundary conditions on a domain Ω⊂Rn with smooth compact boundary are studied. A Schatten--von Neumann type estimate for the singular values of
Lotoreichik, Vladimir +2 more
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On the First-Order Shape Derivative of the Kohn-Vogelius Cost Functional of the Bernoulli Problem
Abstract and Applied Analysis, 2013 The exterior Bernoulli free boundary problem is being considered. The solution to the problem is studied via shape optimization techniques. The goal is to determine a domain having a specific regularity that gives a minimum value for the Kohn-Vogelius ...
Jerico B. Bacani, Gunther Peichl
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Existence Solutions for a Singular Nonlinear Problem with Dirichlet Boundary Conditions on Exterior Domains [PDF]
Kirkuk Journal of ScienceThis paper proves the existence of solutions that solve the Nonlinear Partial differential equation on the exterior of the ball centered at the origin in R^{N} with radius R > 0, with boundary conditions u = 0 on the boundary, and u ( x ) approaches 0
Mageed Ali, Joseph Iaia
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Известия Иркутского государственного университета: Серия "Математика", 2022 Dual techniques have been used in many engineering papers to deal with singularity and ill-conditioning of the boundary element method (BEM). In the first part of the two-part article, our efforts were focused on studying the theoretical aspects of this ...
Zi-Cai Li +4 more
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Exterior Dirichlet and Neumann Problems in Domains with Random Boundaries
Bulletin of the Malaysian Mathematical Sciences Society, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pham, DT, Tran, T, Dinh, D, Chernov, A
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