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In this paper, we shall be interested in solving Dirichlet-type problems for solutions of certain classes of Beltrami equations, to be called $$\beta -$$ analytic. Orthogonal decomposition of the corresponding… Click to show full abstract
In this paper, we shall be interested in solving Dirichlet-type problems for solutions of certain classes of Beltrami equations, to be called $$\beta -$$ analytic. Orthogonal decomposition of the corresponding Sobolev space as well as the ortho-projections onto the subspaces of theses decompositions are obtained. Analytic representation formulas for the underlying solutions in terms of integral operators are established.
Keywords:
problems certain;
dirichlet type;
certain beltrami;
type problems;
beltrami equations
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2021
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!