Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems
We first show the existence and uniqueness of (pseudo) almost periodic solutions of some types of parabolic equations. Then, we apply the results to a type of Cauchy parabolic inverse problems and show the existence, uniqueness, and stability.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/180894 |
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| _version_ | 1849395533042417664 |
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| author | Fenglin Yang Chuanyi Zhang |
| author_facet | Fenglin Yang Chuanyi Zhang |
| author_sort | Fenglin Yang |
| collection | DOAJ |
| description | We first show the existence and uniqueness of (pseudo) almost periodic solutions of some types of parabolic equations. Then, we apply the results to a type of Cauchy parabolic inverse problems and show the existence, uniqueness, and stability. |
| format | Article |
| id | doaj-art-aaa7ac1152074b8ebc6d77fc2b9eaf60 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-aaa7ac1152074b8ebc6d77fc2b9eaf602025-08-20T03:39:35ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/180894180894Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse ProblemsFenglin Yang0Chuanyi Zhang1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaWe first show the existence and uniqueness of (pseudo) almost periodic solutions of some types of parabolic equations. Then, we apply the results to a type of Cauchy parabolic inverse problems and show the existence, uniqueness, and stability.http://dx.doi.org/10.1155/2012/180894 |
| spellingShingle | Fenglin Yang Chuanyi Zhang Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems Abstract and Applied Analysis |
| title | Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems |
| title_full | Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems |
| title_fullStr | Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems |
| title_full_unstemmed | Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems |
| title_short | Almost Periodic (Type) Solutions to Parabolic Cauchy Inverse Problems |
| title_sort | almost periodic type solutions to parabolic cauchy inverse problems |
| url | http://dx.doi.org/10.1155/2012/180894 |
| work_keys_str_mv | AT fenglinyang almostperiodictypesolutionstoparaboliccauchyinverseproblems AT chuanyizhang almostperiodictypesolutionstoparaboliccauchyinverseproblems |