Initial-boundary value problem with a nonlocal condition for a viscosity equation
This paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial-boundary value problem which combine Neumann and integral conditions for a viscosity equation. The proof is based on an energy inequality and on the density of t...
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| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202004167 |
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doaj-76a5b3a89017442f964f9d9c75c0184d2020-11-25T00:04:14ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130632733810.1155/S0161171202004167Initial-boundary value problem with a nonlocal condition for a viscosity equationAbdelfatah Bouziani0Département de Mathématiques, Centre Universitaire Larbi Ben M'hidi-Oum El Baouagui, 04000, AlgeriaThis paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial-boundary value problem which combine Neumann and integral conditions for a viscosity equation. The proof is based on an energy inequality and on the density of the range of the linear operator corresponding to the abstract formulation of the studied problem.http://dx.doi.org/10.1155/S0161171202004167 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Abdelfatah Bouziani |
| spellingShingle |
Abdelfatah Bouziani Initial-boundary value problem with a nonlocal condition for a viscosity equation International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Abdelfatah Bouziani |
| author_sort |
Abdelfatah Bouziani |
| title |
Initial-boundary value problem with a nonlocal condition for
a viscosity equation |
| title_short |
Initial-boundary value problem with a nonlocal condition for
a viscosity equation |
| title_full |
Initial-boundary value problem with a nonlocal condition for
a viscosity equation |
| title_fullStr |
Initial-boundary value problem with a nonlocal condition for
a viscosity equation |
| title_full_unstemmed |
Initial-boundary value problem with a nonlocal condition for
a viscosity equation |
| title_sort |
initial-boundary value problem with a nonlocal condition for
a viscosity equation |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| description |
This paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial-boundary value problem which combine Neumann and integral conditions for a viscosity equation. The proof is based on an energy inequality and on the density of the range of the linear operator corresponding to the abstract formulation of the studied problem. |
| url |
http://dx.doi.org/10.1155/S0161171202004167 |
| work_keys_str_mv |
AT abdelfatahbouziani initialboundaryvalueproblemwithanonlocalconditionforaviscosityequation |
| _version_ |
1725430416785014784 |