On a Priori Estimates and Fredholm Property of Differential Operators in Anisotropic Spaces
A. A. Darbinyan, Ani Tumanyan · Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) · 2018
The paper is devoted to special a priori estimates and Fredholm property of differential operators acting in anisotropic Sobolev spaces in ℝ n . Necessary conditions for a priori estimates in terms of the symbol of an operator are obtained. Under appropriate conditions imposed on the coefficients, a priori estimates are obtained in the corresponding weighted spaces.