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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 3
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Original Articles

Boundary value problems for first-order mixed complex equations with degenerate curve

Pages 545-558 | Received 27 Nov 2010, Accepted 08 Dec 2010, Published online: 15 Apr 2011
 

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.

AMS Subject Classifications:

Acknowledgement

This research is supported by the NSFC (No. 10971224).

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