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...
Guardado en:
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2002
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v50_n2_p205_Cortazar http://hdl.handle.net/20.500.12110/paper_0362546X_v50_n2_p205_Cortazar |
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paper:paper_0362546X_v50_n2_p205_Cortazar |
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paper:paper_0362546X_v50_n2_p205_Cortazar2023-06-08T15:35:17Z Short time behavior near the boundary for the heat equation with a nonlinear boundary condition 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. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v50_n2_p205_Cortazar 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 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. |
| 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 |
| publishDate |
2002 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v50_n2_p205_Cortazar http://hdl.handle.net/20.500.12110/paper_0362546X_v50_n2_p205_Cortazar |
| _version_ |
1768545095587463168 |