Short time behavior near the boundary for the heat equation with a nonlinear boundary condition
The short time behavior near the boundary for the heat equation with a nonlinear boundary condition was discussed. The small time behavior near the boundary in a problem with a non compatibility between a zero Dirichlet boundary condition and the initial data was characterized. The results showed th...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0362546X_v50_n2_p205_Cortazar |
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todo:paper_0362546X_v50_n2_p205_Cortazar2023-10-03T15:27:16Z Short time behavior near the boundary for the heat equation with a nonlinear boundary condition Cortazar, C. Elgueta, M. Rossi, J.D. Boundary conditions Functions Initial value problems Partial differential equations Nonlinear boundary conditions Nonlinear equations The short time behavior near the boundary for the heat equation with a nonlinear boundary condition was discussed. The small time behavior near the boundary in a problem with a non compatibility between a zero Dirichlet boundary condition and the initial data was characterized. The results showed that for a given φ, a smooth positive function, u, another function, grows fastest for small times near points of the boundary where the mean curvature was maximized. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0362546X_v50_n2_p205_Cortazar |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Boundary conditions Functions Initial value problems Partial differential equations Nonlinear boundary conditions Nonlinear equations |
| spellingShingle |
Boundary conditions Functions Initial value problems Partial differential equations Nonlinear boundary conditions Nonlinear equations Cortazar, C. Elgueta, M. Rossi, J.D. Short time behavior near the boundary for the heat equation with a nonlinear boundary condition |
| topic_facet |
Boundary conditions Functions Initial value problems Partial differential equations Nonlinear boundary conditions Nonlinear equations |
| description |
The short time behavior near the boundary for the heat equation with a nonlinear boundary condition was discussed. The small time behavior near the boundary in a problem with a non compatibility between a zero Dirichlet boundary condition and the initial data was characterized. The results showed that for a given φ, a smooth positive function, u, another function, grows fastest for small times near points of the boundary where the mean curvature was maximized. |
| format |
JOUR |
| author |
Cortazar, C. Elgueta, M. Rossi, J.D. |
| author_facet |
Cortazar, C. Elgueta, M. Rossi, J.D. |
| author_sort |
Cortazar, C. |
| title |
Short time behavior near the boundary for the heat equation with a nonlinear boundary condition |
| title_short |
Short time behavior near the boundary for the heat equation with a nonlinear boundary condition |
| title_full |
Short time behavior near the boundary for the heat equation with a nonlinear boundary condition |
| title_fullStr |
Short time behavior near the boundary for the heat equation with a nonlinear boundary condition |
| title_full_unstemmed |
Short time behavior near the boundary for the heat equation with a nonlinear boundary condition |
| title_sort |
short time behavior near the boundary for the heat equation with a nonlinear boundary condition |
| url |
http://hdl.handle.net/20.500.12110/paper_0362546X_v50_n2_p205_Cortazar |
| work_keys_str_mv |
AT cortazarc shorttimebehaviorneartheboundaryfortheheatequationwithanonlinearboundarycondition AT elguetam shorttimebehaviorneartheboundaryfortheheatequationwithanonlinearboundarycondition AT rossijd shorttimebehaviorneartheboundaryfortheheatequationwithanonlinearboundarycondition |
| _version_ |
1807321987499950080 |