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In the half-space, we obtain a coercive a priori estimation of solutions to the boundary value problem for a degenerate pseudodifferential equation. The left-hand side of the equation is the… Click to show full abstract
In the half-space, we obtain a coercive a priori estimation of solutions to the boundary value problem for a degenerate pseudodifferential equation. The left-hand side of the equation is the sum of a pseudo-differential operator with degeneracy, constructed by a special integral transform, and the differentiation operator. The a priori estimation is obtained in special weight spaces of Sobolev type, the norms in which are constructed with the use of a special integral transformation.
Keywords:
estimation solutions;
solutions boundary;
pseudodifferential equation;
priori estimation;
estimation
Journal Title: Russian Mathematics
Year Published: 2021
Link to full text (if available)
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Journal Title: Russian Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!