ABSTRACT

We begin our study of boundary value problems by considering Ω   =   ℝ + N https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203744345/e5fae0ab-9384-4a8e-854f-7e2f919c097c/content/eq930.tif"/> , { ( x ′ , 0 )   :   x ′   ∈   ℝ N − 1 } https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203744345/e5fae0ab-9384-4a8e-854f-7e2f919c097c/content/eq931.tif"/> . We will study the problem () { P ( D ) u   =   f on   ℝ + N B j ( D ) u   =   g j on   ∂ ℝ + N ,   j   =   1 , … , k . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203744345/e5fae0ab-9384-4a8e-854f-7e2f919c097c/content/eq932.tif"/>