A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator
The regularity of solutions to variational inequalities involving local operators has been studied extensively. Less attention has been paid to those involving nonlocal pseudodifferential operators. We present two regularity results for such problems.
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/95738 |
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| _version_ | 1832556442484211712 |
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| author | Randolph G. Cooper |
| author_facet | Randolph G. Cooper |
| author_sort | Randolph G. Cooper |
| collection | DOAJ |
| description | The regularity of solutions to variational inequalities involving local operators has been studied extensively. Less attention has been paid to those involving nonlocal pseudodifferential operators. We present two regularity results
for such problems. |
| format | Article |
| id | doaj-art-df83eec740884a3a8ba0357269c795e0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-df83eec740884a3a8ba0357269c795e02025-02-03T05:45:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/9573895738A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential OperatorRandolph G. Cooper0Department of Mathematics, California State University, Los Angeles 90032-8204, CA, USAThe regularity of solutions to variational inequalities involving local operators has been studied extensively. Less attention has been paid to those involving nonlocal pseudodifferential operators. We present two regularity results for such problems.http://dx.doi.org/10.1155/2007/95738 |
| spellingShingle | Randolph G. Cooper A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator International Journal of Mathematics and Mathematical Sciences |
| title | A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator |
| title_full | A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator |
| title_fullStr | A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator |
| title_full_unstemmed | A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator |
| title_short | A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator |
| title_sort | note on the regularity of the solutions to two variational inequalities involving a pseudodifferential operator |
| url | http://dx.doi.org/10.1155/2007/95738 |
| work_keys_str_mv | AT randolphgcooper anoteontheregularityofthesolutionstotwovariationalinequalitiesinvolvingapseudodifferentialoperator AT randolphgcooper noteontheregularityofthesolutionstotwovariationalinequalitiesinvolvingapseudodifferentialoperator |