On the Bitsadze-Samarskij problem for hyperbolic equations (Q1901433)
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scientific article; zbMATH DE number 816202
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Bitsadze-Samarskij problem for hyperbolic equations |
scientific article; zbMATH DE number 816202 |
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On the Bitsadze-Samarskij problem for hyperbolic equations (English)
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19 May 1996
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The author proves the existence of a unique solution of the wave equation \(u_{xx}- u_{yy}= 0\) on the rectangle \((- 1,1)\times (- 1,1)\) satisfying Bitsadze-Samarskij type of boundary conditions (one of them is given on the abscissa \(x= r\)) for rational \(r\) and the existence of the solution for irrational \(r\). He also gives infinitely many polynomial solutions of the generalized Bitsadze-Samarskij problem on the unit circle.
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generalized Bitsadze-Samarskij problem
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