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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0362546X_v37_n2_p257_Cortazar |
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todo:paper_0362546X_v37_n2_p257_Cortazar2023-10-03T15:27:13Z Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary Cortazar, C. Elgueta, M. Rossi, J.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Cortazar, C. Elgueta, M. Rossi, J.D. 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. |
| format |
JOUR |
| author |
Cortazar, C. Elgueta, M. Rossi, J.D. |
| author_facet |
Cortazar, C. Elgueta, M. Rossi, J.D. |
| author_sort |
Cortazar, C. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_0362546X_v37_n2_p257_Cortazar |
| work_keys_str_mv |
AT cortazarc uniquenessandnonuniquenessforasystemofheatequationswithnonlinearcouplingattheboundary AT elguetam uniquenessandnonuniquenessforasystemofheatequationswithnonlinearcouplingattheboundary AT rossijd uniquenessandnonuniquenessforasystemofheatequationswithnonlinearcouplingattheboundary |
| _version_ |
1782024305266130944 |