✦ LIBER ✦

On the Harnack principle for strongly elliptic systems with nonsmooth coefficients

✍ Scribed by Camil Muscalu

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 145 KB
Volume: 52
Category: Article
ISSN: 0010-3640
DOI: 10.1002/(sici)1097-0312(199910)52:10<1213::aid-cpa2>3.0.co;2-b

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we prove the following theorem (for notation and definitions, see the paragraphs below):

"Let Ω ⊆ R n be a domain, m ∈ N, and λ, q > 0. Then, there exists r (= r(λ, q)) > 1 such that for every 0 < p < q, whenever u 1 , u 2 ,..., u m are weak solutions of a strongly elliptic system with m equations of ellipticity λ satisfying ( u 1 u 2 ... u m ) ∈ P r a.e. and Ω ⊆ Ω subdomain, the following inequalities hold:

📜 SIMILAR VOLUMES

On the dirichlet problem for second orde

On the dirichlet problem for second order elliptic equations with coefficients singular at the boundary

✍ Martin Schechter 📂 Article 📅 1960 🏛 John Wiley and Sons 🌐 English ⚖ 315 KB 👁 2 views

On the optimization of distributed param

On the optimization of distributed parameter systems with boundary control: A counter example for the maximum principle

✍ F. Gruyaert; C. M. Crowe 📂 Article 📅 1974 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 683 KB

## Abstract A counterexample is given to the strong maximum principle for boundary control of a class of distributed parameter systems. The particular system deals with chemical reactors suffering catalyst decay and is in the class whose members are described by sets of first‐order partial differen