REGULARITY AND IDENTIFICATION FOR AN INTEGRODIFFERENTIAL ONE-DIMENSIONAL HYPERBOLIC EQUATION

被引：0
|
作者：
Lorenzi, Alfredo [1 ]
Sinestrari, Eugenio [2 ]
机构：
[1] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy
[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
来源：
INVERSE PROBLEMS AND IMAGING | 2009年 / 3卷 / 03期
关键词：
Recovering an unknown kernel; linear second-order integro-differential equations in Banach spaces; Hille-Yosida semigroups; existence and uniqueness results; application to linear hyperbolic integro-differential equations in one dimension; SINGULAR RELAXATION KERNELS; VISCOELASTICITY;
D O I：
10.3934/ipi.2009.3.505
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we determine a (possibly) non-continuous scalar relaxation kernel of bounded variation in an integrodifferential equation related to a Banach space when a nonlocal additional measurement involving the state function is available. We prove a result concerning global existence and uniqueness. An application is given, in the framework of space of continuous functions, to the case of one-dimensional hyperbolic second-order integrodifferential equations endowed with initial and Dirichlet boundary conditions.
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页码：505 / 536
页数：32
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