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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 20, Issue 1 (Mar 2012)


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

Alfredo Lorenzi
  • Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133 Milano, Italy
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Published Online: 2012-03-06 | DOI: https://doi.org/10.1515/jip-2012-0203


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

About the article

Received: 2011-11-24

Published Online: 2012-03-06

Published in Print: 2012-03-01

Citation Information: Journal of Inverse and Ill-Posed Problems, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jip-2012-0203. Export Citation

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