Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Existence, uniqueness and decay rates for evolution equations on trees |
Autor: | Del Pezzo, L.M.; Mosquera, C.A.; Rossi, J.D. |
Filiación: | Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellon I, Ciudad Universitaria (1428), Buenos Aires, Argentina Departamento de Aná lisis Matemático, Universidad de Alicante, Ap. correo 99, 03080, Alicante, Spain
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Palabras clave: | Averaging operators; Decay estimates; Evolution equations |
Año: | 2014
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Volumen: | 71
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Número: | 1
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Página de inicio: | 63
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Página de fin: | 77
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DOI: |
http://dx.doi.org/10.4171/PM/1941 |
Título revista: | Portugaliae Mathematica
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Título revista abreviado: | Port. Math.
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ISSN: | 00325155
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00325155_v71_n1_p63_DelPezzo |
Referencias:
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Citas:
---------- APA ----------
Del Pezzo, L.M., Mosquera, C.A. & Rossi, J.D.
(2014)
. Existence, uniqueness and decay rates for evolution equations on trees. Portugaliae Mathematica, 71(1), 63-77.
http://dx.doi.org/10.4171/PM/1941---------- CHICAGO ----------
Del Pezzo, L.M., Mosquera, C.A., Rossi, J.D.
"Existence, uniqueness and decay rates for evolution equations on trees"
. Portugaliae Mathematica 71, no. 1
(2014) : 63-77.
http://dx.doi.org/10.4171/PM/1941---------- MLA ----------
Del Pezzo, L.M., Mosquera, C.A., Rossi, J.D.
"Existence, uniqueness and decay rates for evolution equations on trees"
. Portugaliae Mathematica, vol. 71, no. 1, 2014, pp. 63-77.
http://dx.doi.org/10.4171/PM/1941---------- VANCOUVER ----------
Del Pezzo, L.M., Mosquera, C.A., Rossi, J.D. Existence, uniqueness and decay rates for evolution equations on trees. Port. Math. 2014;71(1):63-77.
http://dx.doi.org/10.4171/PM/1941