On degenerate elliptic equations of high order and pseudodifferential operators with degeneration |
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Authors: | A D Baev R A Kovalevskii P A Kobylinskii |
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Institution: | 1.Voronezh State University,Voronezh,Russia |
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Abstract: | Problems for high-order degenerate elliptic equations in a half-space are studied. Coercive a priori estimates and existence theorems for solutions of such problems in special weighted Sobolev-type spaces are obtained. The norms in these spaces are defined with the help of a special integral transform. Pseudodifferential operators with degeneration constructed using a special integral transform are studied. Pseudodifferential operators with degeneration are used to factorize the symbol of a high-order degenerate elliptic operator and to construct a separating operator of the Leray–Sakamoto type. |
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