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Conformal Maps of Nonsmooth Surfaces and Their Applications - Dr. of Sci. (Math.), Prof. Vladimir M. Miklyukov
Vladimir Miklyukov's monograph 'Conformal Maps of Nonsmooth Surfaces and Their Applications' is dedicated to new findings in the theory of conformal maps of nonsmooth surfaces in Euclidian space. The following problems are touched upon: the existence and uniqueness of maps, the boundary behavior of maps and prime ends of surfaces, theorems of the Ahlfors and Warschawski type, applications in a problem of the gas dynamics equation, and qualitative questions of the theory of minimal surfaces. The author presents the material in a simplified manner, hence, it could be comprehensible for young mathematicians who are in the beginning of their scientific career.This book formulates a number of unsolved problems for starters.
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