Existence, uniqueness and decay rates for evolution equations on trees

We study evolution equations governed by an averaging operator on a directed tree, showing existence and uniqueness of solutions. In addition we find conditions of the initial condition that allows us to find the asymptotic decay rate of the solutions as t → ∞. It turns out that this decay rate is n...

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Autores principales: Del Pezzo, L.M., Mosquera, C.A., Rossi, J.D.
Formato: JOUR
Materias:
Averaging operators
Decay estimates
Evolution equations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00325155_v71_n1_p63_DelPezzo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00325155_v71_n1_p63_DelPezzo
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spelling todo:paper_00325155_v71_n1_p63_DelPezzo2023-10-03T14:45:16Z Existence, uniqueness and decay rates for evolution equations on trees Del Pezzo, L.M. Mosquera, C.A. Rossi, J.D. Averaging operators Decay estimates Evolution equations We study evolution equations governed by an averaging operator on a directed tree, showing existence and uniqueness of solutions. In addition we find conditions of the initial condition that allows us to find the asymptotic decay rate of the solutions as t → ∞. It turns out that this decay rate is not uniform, it strongly depends on how the initial condition goes to zero as one goes down in the tree. © European Mathematical Society. Fil:Del Pezzo, L.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00325155_v71_n1_p63_DelPezzo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Averaging operators
Decay estimates
Evolution equations
spellingShingle Averaging operators
Decay estimates
Evolution equations
Del Pezzo, L.M.
Mosquera, C.A.
Rossi, J.D.
Existence, uniqueness and decay rates for evolution equations on trees
topic_facet Averaging operators
Decay estimates
Evolution equations
description We study evolution equations governed by an averaging operator on a directed tree, showing existence and uniqueness of solutions. In addition we find conditions of the initial condition that allows us to find the asymptotic decay rate of the solutions as t → ∞. It turns out that this decay rate is not uniform, it strongly depends on how the initial condition goes to zero as one goes down in the tree. © European Mathematical Society.
format JOUR
author Del Pezzo, L.M.
Mosquera, C.A.
Rossi, J.D.
author_facet Del Pezzo, L.M.
Mosquera, C.A.
Rossi, J.D.
author_sort Del Pezzo, L.M.
title Existence, uniqueness and decay rates for evolution equations on trees
title_short Existence, uniqueness and decay rates for evolution equations on trees
title_full Existence, uniqueness and decay rates for evolution equations on trees
title_fullStr Existence, uniqueness and decay rates for evolution equations on trees
title_full_unstemmed Existence, uniqueness and decay rates for evolution equations on trees
title_sort existence, uniqueness and decay rates for evolution equations on trees
url http://hdl.handle.net/20.500.12110/paper_00325155_v71_n1_p63_DelPezzo
work_keys_str_mv AT delpezzolm existenceuniquenessanddecayratesforevolutionequationsontrees
AT mosqueraca existenceuniquenessanddecayratesforevolutionequationsontrees
AT rossijd existenceuniquenessanddecayratesforevolutionequationsontrees
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