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The random robin problem for laplace's equation |
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| Authors: | Georges A Becus |
| Abstract: | A random generalized solution to the Robin problem for Laplace's equation is defined in terms of the sections of the random boundary data. Existence, uniqueness, and properties are established for such a solution. Particularizations to the Dirichlet and Newmann problems as well as generalization to the Robin-Poisson problem are mentioned. Applications of the results are provided. |
| Keywords: | Random equation existence and uniqueness of random solution |