Existence and uniqueness for an integro-differential equation with singular kernel
Bollettino dell'Unione Matematica Italiana (2006)
- Volume: 9-B, Issue: 2, page 299-309
- ISSN: 0392-4041
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topBerti, Valeria. "Existence and uniqueness for an integro-differential equation with singular kernel." Bollettino dell'Unione Matematica Italiana 9-B.2 (2006): 299-309. <http://eudml.org/doc/289611>.
@article{Berti2006,
abstract = {In this paper we study the evolutive problem of linear viscoelasticity with a singular kernel memory $G'$. We assume that $G'$ presents an initial singularity, so that it is not a $L^1$-function in time, whereas the relaxation function $G$ is integrable at $t = 0$. By applying the Fourier transform method, we prove a theorem of existence and uniqueness of the weak solutions in a functional space whose definition is strictly related to the properties of the kernel memory.},
author = {Berti, Valeria},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {299-309},
publisher = {Unione Matematica Italiana},
title = {Existence and uniqueness for an integro-differential equation with singular kernel},
url = {http://eudml.org/doc/289611},
volume = {9-B},
year = {2006},
}
TY - JOUR
AU - Berti, Valeria
TI - Existence and uniqueness for an integro-differential equation with singular kernel
JO - Bollettino dell'Unione Matematica Italiana
DA - 2006/6//
PB - Unione Matematica Italiana
VL - 9-B
IS - 2
SP - 299
EP - 309
AB - In this paper we study the evolutive problem of linear viscoelasticity with a singular kernel memory $G'$. We assume that $G'$ presents an initial singularity, so that it is not a $L^1$-function in time, whereas the relaxation function $G$ is integrable at $t = 0$. By applying the Fourier transform method, we prove a theorem of existence and uniqueness of the weak solutions in a functional space whose definition is strictly related to the properties of the kernel memory.
LA - eng
UR - http://eudml.org/doc/289611
ER -
References
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