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Boundary value problems for first-order mixed complex equations with degenerate curve
Authors:Guo Chun Wen
Institution:1. LMAM, School of Mathematical Sciences , Peking University , Beijing 100871 , China wengc@math.pku.edu.cn
Abstract:This article deals with some boundary value problems for quasilinear mixed (elliptic-hyperbolic) complex equations of first order with degenerate hyperbolic curve in a simply connected domain. First, we give the representation theorem and prove the uniqueness of solutions for the above boundary value problems. Then using the method of successive iteration, the existence of solutions for the above problems is proved.
Keywords:boundary value problems  quasilinear mixed complex equations  degenerate hyperbolic curve
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