Uniqueness and stability of solutions for a type of parabolic boundary value problem
We consider a boundary value problem consisting of the one-dimensional parabolic equation gut=(hux)x+q, where g, h and q are functions of x, subject to some general boundary conditions. By developing a maximum principle for the boundary value problem, rather than the equation, we prove the uniquenes...
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| Format: | Article |
| Language: | English |
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Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000918 |
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| _version_ | 1832560462595620864 |
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| author | Enrique A. Gonzalez-Velasco |
| author_facet | Enrique A. Gonzalez-Velasco |
| author_sort | Enrique A. Gonzalez-Velasco |
| collection | DOAJ |
| description | We consider a boundary value problem consisting of the one-dimensional
parabolic equation gut=(hux)x+q, where g, h and q are functions of x, subject to
some general boundary conditions. By developing a maximum principle for the boundary
value problem, rather than the equation, we prove the uniqueness of a nonnegative
solution that depends continuously on boundary values. |
| format | Article |
| id | doaj-art-06330098410341f1abb5a4386f0b2989 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-06330098410341f1abb5a4386f0b29892025-02-03T01:27:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112473573910.1155/S0161171289000918Uniqueness and stability of solutions for a type of parabolic boundary value problemEnrique A. Gonzalez-Velasco0Department of Mathematics, University of Lowell, Lowell, Massachusetts, USAWe consider a boundary value problem consisting of the one-dimensional parabolic equation gut=(hux)x+q, where g, h and q are functions of x, subject to some general boundary conditions. By developing a maximum principle for the boundary value problem, rather than the equation, we prove the uniqueness of a nonnegative solution that depends continuously on boundary values.http://dx.doi.org/10.1155/S0161171289000918 |
| spellingShingle | Enrique A. Gonzalez-Velasco Uniqueness and stability of solutions for a type of parabolic boundary value problem International Journal of Mathematics and Mathematical Sciences |
| title | Uniqueness and stability of solutions for a type of parabolic boundary value problem |
| title_full | Uniqueness and stability of solutions for a type of parabolic boundary value problem |
| title_fullStr | Uniqueness and stability of solutions for a type of parabolic boundary value problem |
| title_full_unstemmed | Uniqueness and stability of solutions for a type of parabolic boundary value problem |
| title_short | Uniqueness and stability of solutions for a type of parabolic boundary value problem |
| title_sort | uniqueness and stability of solutions for a type of parabolic boundary value problem |
| url | http://dx.doi.org/10.1155/S0161171289000918 |
| work_keys_str_mv | AT enriqueagonzalezvelasco uniquenessandstabilityofsolutionsforatypeofparabolicboundaryvalueproblem |