Differential and Integral Equations

On a class of higher-order operators with complex coefficients, elliptic in the sense of Gårding's inequality

Mahmoud Qafsaoui

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Abstract

We study a class of higher-order elliptic operators in divergence form with nonsmooth, complex coefficients independent of time. In particular, we give some elliptic regularity results for weak solutions and establish upper bounds for higher derivatives of the heat kernel associated to this class of operators.

Article information

Source
Differential Integral Equations, Volume 16, Number 10 (2003), 1223-1248.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060546

Mathematical Reviews number (MathSciNet)
MR2014808

Zentralblatt MATH identifier
1073.35076

Subjects
Primary: 35J30: Higher-order elliptic equations [See also 31A30, 31B30]
Secondary: 35D10 35J40: Boundary value problems for higher-order elliptic equations 35J45

Citation

Qafsaoui, Mahmoud. On a class of higher-order operators with complex coefficients, elliptic in the sense of Gårding's inequality. Differential Integral Equations 16 (2003), no. 10, 1223--1248. https://projecteuclid.org/euclid.die/1356060546


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