## Banach Journal of Mathematical Analysis

### $L^p$-maximal regularity of degenerate delay equations with periodic conditions

Shangquan Bu

#### 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.

#### Article information

Source
Banach J. Math. Anal., Volume 8, Number 2 (2014), 49-59.

Dates
First available in Project Euclid: 4 April 2014

https://projecteuclid.org/euclid.bjma/1396640050

Digital Object Identifier
doi:10.15352/bjma/1396640050

Mathematical Reviews number (MathSciNet)
MR3189537

Zentralblatt MATH identifier
1301.47056

#### Citation

Bu, Shangquan. $L^p$-maximal regularity of degenerate delay equations with periodic conditions. Banach J. Math. Anal. 8 (2014), no. 2, 49--59. doi:10.15352/bjma/1396640050. https://projecteuclid.org/euclid.bjma/1396640050

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