## Differential and Integral Equations

### Maximal regularity for evolution problems on the line

Alessandro Zamboni

#### Abstract

Let $A$ be a hyperbolic bisectorial operator on a Banach space. In this paper we study the optimal regularity of the solutions of the abstract first-order evolution equation $u' (t) = Au(t) + f (t)$ on the whole line, depending on the regularity of the inhomogeneity $f.$

#### Article information

Source
Differential Integral Equations Volume 22, Number 5/6 (2009), 519-542.

Dates
First available in Project Euclid: 20 December 2012

https://projecteuclid.org/euclid.die/1356019604

Mathematical Reviews number (MathSciNet)
MR2501682

Zentralblatt MATH identifier
1240.34280

#### Citation

Zamboni, Alessandro. Maximal regularity for evolution problems on the line. Differential Integral Equations 22 (2009), no. 5/6, 519--542.https://projecteuclid.org/euclid.die/1356019604