The Tricomi and Frankl problems for generalized Chaplygin equations in multiply connected domains |
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Authors: | Guo Chun Wen |
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Institution: | (1) LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China |
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Abstract: | The present paper deals with Tricomi and Frankl problems for generalized Chaplygin equations in multiply connected domains.
We first give the representation of solutions of the Tricomi problem for the equations, and then prove the uniqueness and
existence of solutions for the problem by a new method, i.e. the complex functions in the elliptic domain and the hyperbolic
complex functions in hyperbolic domain are used. Finally we discuss the Frankl problem for generalized Chaplygin equations
in multiply connected domains.
This research is supported by NSFC (No. 10671207) |
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Keywords: | Tricomi and Frankl problems generalized Chaplygin equations multiply connected domains |
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