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Integrodifferential equations with applications to a plate equation with memory
Author(s) -
Andrade Bruno,
Viana Arlúcio
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500205
Subject(s) - uniqueness , mathematics , continuation , mathematical analysis , computer science , programming language
In this paper we study local existence, uniqueness, and continuous dependence of an abstract integrodifferential equation. We also present a result on unique continuation and a blow‐up alternative for mild solutions of the integrodifferential equation. Finally, we apply our results to an interesting strongly damped plate equation with memory.