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...

Descripción completa

Detalles Bibliográficos
Autores principales: Del Pezzo, Leandro M., Rossi, Julio Daniel
Publicado: 2014
Materias:
Averaging operators
Decay estimates
Evolution equations
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00325155_v71_n1_p63_DelPezzo
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 paper:paper_00325155_v71_n1_p63_DelPezzo
record_format dspace
spelling paper:paper_00325155_v71_n1_p63_DelPezzo2023-06-08T15:00:15Z Existence, uniqueness and decay rates for evolution equations on trees Del Pezzo, Leandro M. Rossi, Julio Daniel 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. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00325155_v71_n1_p63_DelPezzo 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, Leandro M.
Rossi, Julio Daniel
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.
author Del Pezzo, Leandro M.
Rossi, Julio Daniel
author_facet Del Pezzo, Leandro M.
Rossi, Julio Daniel
author_sort Del Pezzo, Leandro 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
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00325155_v71_n1_p63_DelPezzo
http://hdl.handle.net/20.500.12110/paper_00325155_v71_n1_p63_DelPezzo
work_keys_str_mv AT delpezzoleandrom existenceuniquenessanddecayratesforevolutionequationsontrees
AT rossijuliodaniel existenceuniquenessanddecayratesforevolutionequationsontrees
_version_ 1768541598398808064

Ejemplares similares