Viscosity solutions of fully nonlinear functional parabolic PDE
By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. The comparison principle is shown. Then the existe...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3539 |
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| _version_ | 1832558978890989568 |
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| author | Liu Wei-an Lu Gang |
| author_facet | Liu Wei-an Lu Gang |
| author_sort | Liu Wei-an |
| collection | DOAJ |
| description | By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. The comparison principle is shown. Then the existence and uniqueness are established by the fixed point theory. |
| format | Article |
| id | doaj-art-021f21f6bad44135a6c045c4303c66eb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-021f21f6bad44135a6c045c4303c66eb2025-02-03T01:31:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005223539355010.1155/IJMMS.2005.3539Viscosity solutions of fully nonlinear functional parabolic PDELiu Wei-an0Lu Gang1School of Mathematics and Statistics, Wuhan University, Hubei, Wuhan 430072, ChinaSchool of Mathematics and Statistics, HuaZhong Normal University, Hubei, Wuhan 430079, ChinaBy the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. The comparison principle is shown. Then the existence and uniqueness are established by the fixed point theory.http://dx.doi.org/10.1155/IJMMS.2005.3539 |
| spellingShingle | Liu Wei-an Lu Gang Viscosity solutions of fully nonlinear functional parabolic PDE International Journal of Mathematics and Mathematical Sciences |
| title | Viscosity solutions of fully nonlinear functional parabolic PDE |
| title_full | Viscosity solutions of fully nonlinear functional parabolic PDE |
| title_fullStr | Viscosity solutions of fully nonlinear functional parabolic PDE |
| title_full_unstemmed | Viscosity solutions of fully nonlinear functional parabolic PDE |
| title_short | Viscosity solutions of fully nonlinear functional parabolic PDE |
| title_sort | viscosity solutions of fully nonlinear functional parabolic pde |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3539 |
| work_keys_str_mv | AT liuweian viscositysolutionsoffullynonlinearfunctionalparabolicpde AT lugang viscositysolutionsoffullynonlinearfunctionalparabolicpde |