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Manifolds of quasiconformal mappings and...
Astala, Kari...
Manifolds of quasiconformal mappings and the nonlinear Beltrami equation by Astala, Kari ( Author )
N.A
12-12-2014
In this paper we show that the homeomorphic solutions to each nonlinear Beltrami equation ∂z¯f=H(z,∂zf) generate a two-dimensional manifold of quasiconformal mappings FH⊂W1,2loc(C). Moreover, we show that under regularity assumptions on H, the manifold FH defines the structure function H uniquely.
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Article
pdf
36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1412.4046
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