General boundary value problems in region with corners

Abstract

We consider the following boundary value problems:

$$ Au\left( x \right) = \sum\limits_{\left| a \right| \leqslant 2}^n {{\alpha _a}} \left( x \right)\partial _x^\alpha u\left( x \right) = f\left( x \right),x \in M,\quad Bu\left( x \right) = \sum\limits_{\left| a \right| \leqslant m}^n {{b_a}} \left( x \right)\partial _x^\alpha u\left( x \right) = g\left( x \right),x \in \partial M, $$

((1.1))

x∈∂M.