Solution of the jump boundary value problems with additional internal and external conditions for the Laplacian in R³

机译：R ^{3 中带有Laplacian的附加内部和外部条件的跳跃边界值问题的解决方案}

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Conditions of well-posed solution of integral equations for the sum of simple and double layer potentials equivalent to the jump boundary value problems with additional Dirichlet and Neumann conditions for the Laplacian in R are determined.

机译：确定了简单方程和双层方程之和等于跳跃边界值问题的积分方程的适定解的条件，并为R中的Laplacian确定了附加的Dirichlet和Neumann条件。

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《International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory》|2014年|137-139|共3页
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Polishchuk A.D.;
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Laplace transforms; boundary-value problems; integral equations; Dirichlet conditions; Laplacian; Neumann conditions; double layer potentials; external conditions; integral equations; internal conditions; jump boundary value problems; simple layer potentials; Acoustic waves; Electric potential; Electromagnetics; Integral equations; Laplace equations; Search problems; Seminars; Boundary value problem; Laplacian; potential; well-posed solution;

机译：Laplace变换;边值问题;积分方程; Dirichlet条件; Laplacian; Neumann条件;双层势;外部条件;积分方程;内部条件;跳跃边值问题;简单层势;声波;电势;电磁学;积分方程;拉普拉斯方程;搜索问题;研讨会;边值问题;拉普拉斯;势;适定解;
入库时间 2022-08-26 15:18:42

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1. A Method for Obtaining Analytical Solutions to Boundary Value Problems by Defining Additional Boundary Conditions and Additional Sought-For Functions [J] . I. V. Kudinov, E. V. Kotova, V. A. Kudinov Numerical analysis and applications . 2019,第2期

机译：通过定义附加边界条件和额外寻求的函数来获得边值问题的分析解决方案的方法
2. Solution Continuation and Homogenization of a Boundary Value Problem for the p-Laplacian in a Perforated Domain with a Nonlinear Third Boundary Condition on the Boundary of Holes [J] . Podolskii A. V. Doklady. Mathematics . 2015,第1期

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3. Monotonic iteration positive symmetric solutions to a boundary value problem with p -Laplacian and Stieltjes integral boundary conditions [J] . Bo Sun Boundary value problems . 2016,第1期

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4. SOLUTION OF SEARCHED FUNCTION NORMAL DERIVATIVE JUMP PROBLEM WITH INTERNAL OR EXTERNAL NEUMANN CONDITION FOR THE LAPLACIAN IN R{sup}3 BY MEANS OF SIMPLE AND DOUBLE LAYER POTENTIALS [C] . Alexander D. Polishchuk International Seminary/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory . 2007

机译：通过简单和双层电位，通过简单和双层电位，搜索函数正常衍生跳跃问题与LAPLACIAN的内部或外部Neumann条件
5. A free-boundary problem for the evolution p-Laplacian equation with a combustion boundary condition. [D] . To, Tung T. 2007

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6. Infinitely Many Weak Solutions of the p-Laplacian Equation with Nonlinear Boundary Conditions [O] . Feng-Yun Lu, Gui-Qian Deng -1

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7. Positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line [O] . Dondu Oz, Ilkay Karaca 2020

机译：M点P-LAPLACIAN分数边值问题的正解，涉及半线的Riemann Liouville分数整体边界条件
8. Free Laplacian with Attractive Boundary Conditions [R] . Englisch, H. , Schroeder, M. , Seba, P. 1986

机译：自由拉普拉斯与有吸引力的边界条件

Solution of the jump boundary value problems with additional internal and external conditions for the Laplacian in R3

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Solution of the jump boundary value problems with additional internal and external conditions for the Laplacian in R³