Differential and Integral Equations

Maximal regularity for evolution problems on the line

Alessandro Zamboni

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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

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019604

Mathematical Reviews number (MathSciNet)
MR2501682

Zentralblatt MATH identifier
1240.34280

Subjects
Primary: 34G10: Linear equations [See also 47D06, 47D09]
Secondary: 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] 47N20: Applications to differential and integral equations

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


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