Functions with constant Laplacian satisfying Robin boundary conditions on an ellipse
We study the problem of finding functions, defined within and on an ellipse, whose Laplacian is -1 and which satisfy a homogeneous Robin boundary condition on the ellipse. The parameter in the Robin condition is denoted by beta. The general solution and various asymptotic approximations are obtai...
| Main Authors: | , |
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| Format: | Journal Article |
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/79264 |