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Solution of doube-sided Dirichlet and Neumann boundary value problems for the Laplacian in R3 in case of tired boundary surface

机译：疲劳边界表面的R ^{3 中拉普拉斯的双面Dirichlet和Neumann边值问题的解决方案}

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摘要

Conditions of well-posed solvability of integral equations for the sum of simple and double layer potentials equivalent to double-sided Dirichlet and Neumann boundary value problems for the Laplacian in R in case of tired boundary surface are determined.

机译：确定了在疲劳边界表面的r型下拉读者中的单向Dirichlet和Laplacian的单侧Dirichlet和Neumann边值问题的简单和双层电位的总和的整体方程良好的条件。

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《IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory 》|2015年||共4页
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Polishchuk Alexandr D.;
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关键词
Laplace equations; boundary-value problems; integral equations; Laplacian; Neumann boundary value problems; doube-sided Dirichlet; double layer potentials; integral equations; simple layer potentials; tired boundary surface; well-posed solvability; Acoustic waves; Electromagnetic scattering; Electromagnetics; Integral equations; Laplace equations; Manganese; Seminars; Boundary value problem; Laplacian; potential; tired surface; well-posed solution;

机译：拉普拉斯方程;边界值问题;积分方程;拉普拉斯;Neumann边界值问题;doube 双面狄利克雷;双层电位;积分方程;简单层电位;累边界表面;适定的可解性;声波;电磁散射;电磁;整体方程;拉普拉斯方程;锰;研讨会;边值问题;拉普拉斯;潜力;疲惫的表面;良好的解决方案;

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1. Regularization of Moving Boundaries in a Laplacian Field by a Mixed Dirichlet-Neumann Boundary Condition: Exact Results [J] . Bernard Meulenbroek, Ute Ebert, Lothar Schaefer Physical review letters . 2005 ,第19期

机译：混合Dirichlet-Neumann边界条件对拉普拉斯场中移动边界的正则化：精确结果
2. Numerical Solution of Boundary Value Problems for the Laplacian in R3 in the Case of Complex Boundary Surface [J] . Olexandr Polishchuk Computational and Applied Mathematics Journal . 2015 ,第2期

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3. A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a $p$-Laplacian type operator [J] . Gupta Chaitan P. Applications of mathematics . 2007 ,第5期

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4. Solution of doube-sided Dirichlet and Neumann boundary value problems for the Laplacian in R3 in case of tired boundary surface [C] . Polishchuk Alexandr D. IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory . 2015

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5. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

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7. Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions [O] . David Krejčiřík 2014

机译：窄管邻域的Laplacian谱的谱，具有Dirichlet和Neumann边界条件

Solution of doube-sided Dirichlet and Neumann boundary value problems for the Laplacian in R3 in case of tired boundary surface

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