Differential and Integral Equations

$H_\infty$-calculus for elliptic operators with nonsmooth coefficients

Xuan T. Duong and Gieri Simonett

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We show that general systems of elliptic differential operators have a bounded $H_\infty$-functional calculus in $L_p$ spaces, provided the coefficients satisfy only minimal regularity assumptions.

Article information

Differential Integral Equations, Volume 10, Number 2 (1997), 201-217.

First available in Project Euclid: 2 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47F05: Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47)
Secondary: 35J45 47A60: Functional calculus 47N20: Applications to differential and integral equations


Duong, Xuan T.; Simonett, Gieri. $H_\infty$-calculus for elliptic operators with nonsmooth coefficients. Differential Integral Equations 10 (1997), no. 2, 201--217. https://projecteuclid.org/euclid.die/1367526333

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