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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Functional Calculus for Bisectorial Operators and Applications to Linear and Non-Linear Evolution Equations

Functional Calculus for Bisectorial Operators and Applications to Linear and Non-Linear Evolution Equations

Duelli, Markus

Paperback

General Mathematics

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ISBN10: 3832508627
ISBN13: 9783832508623
Publisher: Logos Verlag Berlin
Published: Apr 20 2005
Pages: 146
Weight: 0.50
Height: 0.40 Width: 5.68 Depth: 8.04
Language: English
The holomorphic functional calculus for sectorial unbounded operators is an extension of the classical Dunford calculus for bounded operators. The interest in this calculus is motivated by the Kato square root problem and applications to the operator-sum method introduced by DaPrato and Grisvard to treat evolution equations on a finite interval. In this thesis we develop the holomorphic functional calculus for multisectorial and asymptotically bisectorial operators. We obtain versions of closed-sum theorems that allow to deduce maximal regularity for first and second order Cauchy problems both on the line and for the periodic problem. The results are then applied to prove existence and uniqueness of non-linear evolution equations.

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