Well-posedness of degenerate integro-differential equations in function spaces

Well-posedness of degenerate integro-differential equations in function spaces

We use operator-valued Fourier multipliers to obtain characterizations for well-posedness of a large class of degenerate integro-differential equations of second order in time in Banach spaces. We treat periodic vector-valued Lebesgue, Besov and Trieblel-Lizorkin spaces. We observe that in the...

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Bibliographic Details
Main Authors: Rafael Aparicio, Valentin Keyantuo
Format: Article
Language:English
Published: Texas State University 2018-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Well-posedness
maximal regularity
R-boundedness
operator-valued Fourier multiplier
Lebesgue-Bochner spaces
Besov spaces
Triebel-Lizorkin spaces
Holder spaces
Online Access:http://ejde.math.txstate.edu/Volumes/2018/79/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2018/79/abstr.html

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