Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary
A system of heat equations with nonlinear coupling at the boundary is considered. Assuming that the solution is defined and bounded in a certain small time interval, conditions for the existence of solutions of the equations and the uniqueness of these solutions are proven.
Guardado en:
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1999
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v37_n2_p257_Cortazar http://hdl.handle.net/20.500.12110/paper_0362546X_v37_n2_p257_Cortazar |
| Aporte de: |
| Sumario: | A system of heat equations with nonlinear coupling at the boundary is considered. Assuming that the solution is defined and bounded in a certain small time interval, conditions for the existence of solutions of the equations and the uniqueness of these solutions are proven. |
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