Regularity and identification for an integrodifferentialone-dimensional hyperbolic  equation

Alfredo Lorenzi; Eugenio Sinestrari

doi:10.3934/ipi.2009.3.505

Article Contents

2009, Volume 3, Issue 3: 505-536. Doi: 10.3934/ipi.2009.3.505

This issue Previous Article Coordinate descent optimization for l¹ minimization with application to compressed sensing; a greedy algorithm Next Article Inverse scattering on conformally compact manifolds

Regularity and identification for an integrodifferential one-dimensional hyperbolic equation

Alfredo Lorenzi^1, and
Eugenio Sinestrari^2,

1.
Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133, Milano
2.
Dipartimento di Matematica, Università di Roma “La Sapienza”, P.le A. Moro 5, 00185 Roma

Received: September 30, 2008

Revised: April 30, 2009

Published: July 2009

Abstract Related Papers Cited by

Abstract

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.

Keywords:

Mathematics Subject Classification: Primary: 45Q05, 45K05, 45N05, 47D06.

Citation:

Article Metrics

HTML views() PDF downloads(70) Cited by(0)

Regularity and identification for an integrodifferential one-dimensional hyperbolic equation

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Regularity and identification for an integrodifferential one-dimensional hyperbolic equation

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content