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.

引用

页码：505 / 536

页数：32

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