Asymptotics of the Solution of an Integral Equation to Transmission Problems with Singular Perturbed Boundary
Copyright policy )Asymptotics of the Solution of an Integral Equation to Transmission Problems with Singular Perturbed Boundary
The integral equation to a transmission problem of the Laplacian is considered on a smooth boundary of a plane domain. The contour depends on a positive parameter e and the domain has a corner in the limit case \epsilon = 0 . The main terms of an asymptotic expansion showing the influence of the parameter are given. The remaining part is estimated in a weak norm.
- University of Rostock Germany
Integral representations, integral operators, integral equations methods in higher dimensions, asymptotic expansion, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Asymptotic behavior of solutions to PDEs, boundary integral equations, Asymptotics of solutions to integral equations
Integral representations, integral operators, integral equations methods in higher dimensions, asymptotic expansion, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Asymptotic behavior of solutions to PDEs, boundary integral equations, Asymptotics of solutions to integral equations
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