Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary

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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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Detalles Bibliográficos
Autores principales: Cortazar, C., Elgueta, M., Rossi, J.D.
Formato: JOUR
Materias:
Nonlinear equations
Theorem proving
Heat equations
Solution uniqueness
Partial differential equations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v37_n2_p257_Cortazar
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0362546X_v37_n2_p257_Cortazar
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spelling 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
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