Garding's Inequality for Elliptic Differential Operator with Infinite Number of Variables
We formulate the elliptic differential operator with infinite number of variables and investigate that it is well defined on infinite tensor product of spaces of square integrable functions. Under suitable conditions, we prove Garding's inequality for this operator.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/352590 |
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| _version_ | 1832563052252233728 |
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| author | Ahmed Zabel Maryam Alghamdi |
| author_facet | Ahmed Zabel Maryam Alghamdi |
| author_sort | Ahmed Zabel |
| collection | DOAJ |
| description | We formulate the elliptic differential operator with infinite number of variables and investigate that it is well defined on infinite tensor product of spaces of square integrable functions. Under suitable conditions, we prove Garding's inequality for this operator. |
| format | Article |
| id | doaj-art-d4be91189bd5475c96fbe0dd717b2801 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d4be91189bd5475c96fbe0dd717b28012025-02-03T01:21:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/352590352590Garding's Inequality for Elliptic Differential Operator with Infinite Number of VariablesAhmed Zabel0Maryam Alghamdi1Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, 11884 Cairo, EgyptDepartment of Mathematics, King Abdulaziz University, P.O. Box 4087, Jeddah 21491, Saudi ArabiaWe formulate the elliptic differential operator with infinite number of variables and investigate that it is well defined on infinite tensor product of spaces of square integrable functions. Under suitable conditions, we prove Garding's inequality for this operator.http://dx.doi.org/10.1155/2011/352590 |
| spellingShingle | Ahmed Zabel Maryam Alghamdi Garding's Inequality for Elliptic Differential Operator with Infinite Number of Variables International Journal of Mathematics and Mathematical Sciences |
| title | Garding's Inequality for Elliptic Differential Operator with Infinite Number of Variables |
| title_full | Garding's Inequality for Elliptic Differential Operator with Infinite Number of Variables |
| title_fullStr | Garding's Inequality for Elliptic Differential Operator with Infinite Number of Variables |
| title_full_unstemmed | Garding's Inequality for Elliptic Differential Operator with Infinite Number of Variables |
| title_short | Garding's Inequality for Elliptic Differential Operator with Infinite Number of Variables |
| title_sort | garding s inequality for elliptic differential operator with infinite number of variables |
| url | http://dx.doi.org/10.1155/2011/352590 |
| work_keys_str_mv | AT ahmedzabel gardingsinequalityforellipticdifferentialoperatorwithinfinitenumberofvariables AT maryamalghamdi gardingsinequalityforellipticdifferentialoperatorwithinfinitenumberofvariables |