Journal of Inverse and Ill-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
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: https://doi.org/10.1515/jip-2012-0203, March 2012
- Published Online:
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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