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.
Identification problems in Banach spaces for linear first-order partial differential equations in one space dimension and applications / A. Lorenzi. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 20:1(2012), pp. 65-102.
Identification problems in Banach spaces for linear first-order partial differential equations in one space dimension and applications
A. LorenziPrimo
2012
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.
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