Results 21 to 30 of about 5,713 (169)
Геофизический журнал, 2022 The works by specialists in electrical tomography usually model soil masses as a two-dimensional single-connected domain, the boundary of which consists of a horizon line and some «deep» line with a constant potential value on it.
A.Ya. Bomba +2 more
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Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale [PDF]
, 2019 We give sufficient conditions for quasiconformal mappings between simply connected Lipschitz domains to have H\"older, Sobolev and Triebel-Lizorkin regularity in terms of the regularity of the boundary of the domains and the regularity of the Beltrami ...
Astala, Kari +2 more
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Quasiconformal Mappings and Schwarz's Lemma [PDF]
Transactions of the American Mathematical Society, 1970 In this paper, K quasiconformal maps of Riemann surfaces are investigated. A theorem, which is similar to Schwarz's lemma, is proved for a certain class of K quasiconformal maps. This result is then used to give elementary proofs of theorems concerning K quasiconformal maps.
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Quasiconformal Mappings and Grid Generation [PDF]
SIAM Journal on Scientific and Statistical Computing, 1984 A finite difference scheme is developed for constructing quasiconformal mappings for arbitrary simply and doubly-connected domains onto a rectangle in the plane by using Beltrami systems. Error estimates are not given. Numerical examples show applications of the method: 1.
Mastin, C. W., Thompson, J. F.
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On compact classes of solutions of Dirichlet problem in simply connected domains
Математичні Студії, 2023 The article is devoted to compactness of solutions of the Dirichlet problem for the Beltrami equation in some simply connected domain. In terms of prime ends, we have proved corresponding results for the case when the maximal dilatations of these ...
O. Dovhopiatyi, E. Sevost'yanov
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An Approach to Studying Quasiconformal Mappings on Generalized Grushin Planes [PDF]
, 2014 We demonstrate that the complex plane and a class of generalized Grushin planes $G_r$, where $r$ is a function satisfying specific requirements, are quasisymmetrically equivalent.
Ackermann, Colleen
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On the area distortion by quasiconformal mappings [PDF]
Proceedings of the American Mathematical Society, 1995 We give the sharp constants in the area distortion inequality for quasiconformal mappings in the plane.
Eremenko, A., Hamilton, D. H.
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ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS
Проблемы анализа, 2019 We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk.
E. A. Shcherbakov, I. A. Avdeyev
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Computing Extremal Quasiconformal Maps [PDF]
Computer Graphics Forum, 2012 AbstractConformal maps are widely used in geometry processing applications. They are smooth, preserve angles, and are locally injective by construction. However, conformal maps do not allow for boundary positions to be prescribed. A natural extension to the space of conformal maps is the richer space of quasiconformal maps of bounded conformal ...
Ofir Weber, Ashish Myles, Denis Zorin
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An asymptotically sharp coefficients estimate for harmonic K-quasiconformal mappings
Journal of Inequalities and Applications, 2016 By using the improved Hübner inequalities, in this paper we obtain an asymptotically sharp lower bound estimate for the coefficients of harmonic K-quasiconformal self-mappings of the unit disk D ${\mathbb{D}}$ which keep the origin fixed.
Hong-Ping Li
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