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Publication Date:
March 2012
ISSN:
1569-3945
DOI:
10.1515/jip-2012-0203

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Journal of Inverse and III-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Identification problems in Banach spaces for linear first-order partial differential equations in one space dimension and applications

1

1Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133 Milano, Italy

Citation Information: Journal of Inverse and Ill-Posed Problems. Volume 20, Issue 1, Pages 65–102, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jip-2012-0203, March 2012

Publication History:
Received:
2011-11-24
Published Online:
2012-03-06

Abstract.

We prove existence and uniqueness results for mild solutions to direct and inverse Cauchy problems related to linear first-order partial differential equations in Banach spaces. Some applications are given to ultraparabolic differential and integrodifferential problems.

Keywords.: Linear first-order partial differential equations; Banach spaces; ultraparabolic equations; representation formulae; direct problems; analytic semigroup theory; existence and uniqueness results; identification problems

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