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2014 $L^p$-maximal regularity of degenerate delay equations with periodic conditions
Shangquan Bu
Banach J. Math. Anal. 8(2): 49-59 (2014). DOI: 10.15352/bjma/1396640050

Abstract

Under suitable assumptions on the delay operator $F$, we give necessary and sufficient conditions for the inhomogeneous abstract degenerate delay equations: $ (Mu)'(t)=Au(t)+Fu_{t}+f(t), \ (t\in \T)$ to have $L^p$-maximal regularity.

Citation

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Shangquan Bu. "$L^p$-maximal regularity of degenerate delay equations with periodic conditions." Banach J. Math. Anal. 8 (2) 49 - 59, 2014. https://doi.org/10.15352/bjma/1396640050

Information

Published: 2014
First available in Project Euclid: 4 April 2014

zbMATH: 1301.47056
MathSciNet: MR3189537
Digital Object Identifier: 10.15352/bjma/1396640050

Subjects:
Primary: 47D06
Secondary: 34G10 , 34K30 , 43A15

Keywords: degenerate equations , delay equations , maximal regularity

Rights: Copyright © 2014 Tusi Mathematical Research Group

Vol.8 • No. 2 • 2014
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