W^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficients
<span style="font-family: DejaVu Sans,sans-serif;">We prove a well-posedness result in the intersection class of <em>W</em><sup><em>2,p </em></sup>with <em>W</em><sub><em>0</em></sub><sup><em>1,p</...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
1992-05-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/581 |
| Summary: | <span style="font-family: DejaVu Sans,sans-serif;">We prove a well-posedness result in the intersection class of <em>W</em><sup><em>2,p </em></sup>with <em>W</em><sub><em>0</em></sub><sup><em>1,p</em></sup> for the Dirichlet problem (*) below. We assume <em>L</em> to be an elliptic second order operator with discontinuous coefficients and lower order terms. The paper extends a recent result (see [1], [2]) for operators restricted to leading terms.</span> |
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| ISSN: | 0373-3505 2037-5298 |