Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations
We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations under usual hypotheses.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2009/873526 |
| _version_ | 1818393854535008256 |
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| author | Shilin Zhang Daxiong Piao |
| author_facet | Shilin Zhang Daxiong Piao |
| author_sort | Shilin Zhang |
| collection | DOAJ |
| description | We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations under usual hypotheses. |
| first_indexed | 2024-12-14T05:51:56Z |
| format | Article |
| id | doaj.art-76b727a98d964d49af8d3ea2f9baa525 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-14T05:51:56Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-76b727a98d964d49af8d3ea2f9baa5252022-12-21T23:14:42ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/873526Almost Periodic Viscosity Solutions of Nonlinear Parabolic EquationsShilin ZhangDaxiong PiaoWe generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations under usual hypotheses.http://dx.doi.org/10.1155/2009/873526 |
| spellingShingle | Shilin Zhang Daxiong Piao Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations Boundary Value Problems |
| title | Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations |
| title_full | Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations |
| title_fullStr | Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations |
| title_full_unstemmed | Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations |
| title_short | Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations |
| title_sort | almost periodic viscosity solutions of nonlinear parabolic equations |
| url | http://dx.doi.org/10.1155/2009/873526 |
| work_keys_str_mv | AT shilinzhang almostperiodicviscositysolutionsofnonlinearparabolicequations AT daxiongpiao almostperiodicviscositysolutionsofnonlinearparabolicequations |