Behavior of the Higher Order Derivatives of Solutions of a Class of Nonhypoelliptic Equations in the Infinite Cylinder
The first results on the infinite differentiability and analyticity of solutions of elliptic equations have been derived by S. Bernshtein . In  I. Petrovski proved that all classical solutions of elliptic equations with analytic coefficients and analytic right-hand sides are analytic functions.
KeywordsElliptic Equation Constant Coefficient Linear Differential Operator Differential Property Linear Partial Differential Operator
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