Articles with "riemann equation" as a keyword



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Riemann–Hilbert problems for null-solutions to iterated generalized Cauchy–Riemann equation on upper half ball

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Published in 2019 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2019.1664484

Abstract: Abstract We study Riemann–Hilbert boundary value problems with variable coefficients for axially symmetric null-solutions to the iterated generalized Cauchy–Riemann equation, defined over the upper half unit ball centred at the origin in four-dimensional Euclidean space.… read more here.

Keywords: null solutions; cauchy riemann; riemann equation; generalized cauchy ... See more keywords
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Solvability of the inhomogeneous Cauchy–Riemann equation in projective weighted spaces

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Published in 2017 at "Siberian Mathematical Journal"

DOI: 10.1134/s0037446617010189

Abstract: We establish an analog of Hörmander’s Theorem on solvability of the inhomogeneous Cauchy–Riemann equation for a space of measurable functions satisfying a system of uniform estimates. The result is formulated in terms of the weight… read more here.

Keywords: riemann equation; cauchy riemann; solvability inhomogeneous; inhomogeneous cauchy ... See more keywords