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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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 |
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doaj-a36b97d024e74c56b083059f14ed3dbb2020-11-25T03:18:55ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981992-05-01471177186548W^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficientsCarmela Vitanza<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>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/581 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Carmela Vitanza |
| spellingShingle |
Carmela Vitanza W^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficients Le Matematiche |
| author_facet |
Carmela Vitanza |
| author_sort |
Carmela Vitanza |
| title |
W^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficients |
| title_short |
W^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficients |
| title_full |
W^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficients |
| title_fullStr |
W^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficients |
| title_full_unstemmed |
W^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficients |
| title_sort |
w^{2,p}-regularity for a class of elliptic second order equations with discontinuous coefficients |
| publisher |
Università degli Studi di Catania |
| series |
Le Matematiche |
| issn |
0373-3505 2037-5298 |
| publishDate |
1992-05-01 |
| description |
<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> |
| url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/581 |
| work_keys_str_mv |
AT carmelavitanza w2pregularityforaclassofellipticsecondorderequationswithdiscontinuouscoefficients |
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1724624938808115200 |