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.
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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 |
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paper:paper_0362546X_v37_n2_p257_Cortazar |
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paper:paper_0362546X_v37_n2_p257_Cortazar2023-06-08T15:35:15Z Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary Nonlinear equations Theorem proving Heat equations Solution uniqueness Partial differential equations 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. 1999 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 |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Nonlinear equations Theorem proving Heat equations Solution uniqueness Partial differential equations |
| spellingShingle |
Nonlinear equations Theorem proving Heat equations Solution uniqueness Partial differential equations Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary |
| topic_facet |
Nonlinear equations Theorem proving Heat equations Solution uniqueness Partial differential equations |
| description |
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. |
| title |
Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary |
| title_short |
Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary |
| title_full |
Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary |
| title_fullStr |
Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary |
| title_full_unstemmed |
Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary |
| title_sort |
uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary |
| publishDate |
1999 |
| url |
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 |
| _version_ |
1768541847139909632 |