ABSTRACT

Let Ω be an open subset of Rn uniformly regular of class Cm . Let L(x, D) be a uniformly elliptic operator of order m with coefficients defined in Ω ¯ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203755419/25763ea9-efbc-4fdd-b209-84209bf4ed4e/content/inequ5_1.tif"/> and satisfying the Root Condition of section 4.2. Let { B j ( x , D ) } j = 1 m / 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203755419/25763ea9-efbc-4fdd-b209-84209bf4ed4e/content/inequ5_2.tif"/> be a set of differential operators with coefficients defined on ∂Ω. Assume that the order Mj of Bj is less than m.