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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| Autores principales: | , , |
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| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0362546X_v50_n2_p205_Cortazar |
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| Sumario: | 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. |
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