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The Riemann-Hilbert problem for mixed complex equations of first order with degenerate rank 0

The Riemann-Hilbert problem for mixed complex equations of first order with degenerate rank 0 This article deals with the Riemann-Hilbert boundary value problem for quasilinear mixed (ellipti-chyperbolic) complex equations of first order with degenerate rank 0. Firstly, we give the representation theorem and prove the uniqueness of solutions for the boundary value problem. Afterwards, by using the method of successive iteration, the existence and estimates of solutions for the boundary value problem are verified. The above problem possesses the important applications to the Tricomi problem of mixed type equations of second order. In this article, the proof of Hölder continuity of a singular double integer is very difficult and interesting as in this Section 4 below. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The Riemann-Hilbert problem for mixed complex equations of first order with degenerate rank 0

Wen, Guo-chun
Acta Mathematicae Applicatae Sinica , Volume 31 (1) – Apr 12, 2015
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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-014-0408-6
Publisher site
See Article on Publisher Site

Abstract

This article deals with the Riemann-Hilbert boundary value problem for quasilinear mixed (ellipti-chyperbolic) complex equations of first order with degenerate rank 0. Firstly, we give the representation theorem and prove the uniqueness of solutions for the boundary value problem. Afterwards, by using the method of successive iteration, the existence and estimates of solutions for the boundary value problem are verified. The above problem possesses the important applications to the Tricomi problem of mixed type equations of second order. In this article, the proof of Hölder continuity of a singular double integer is very difficult and interesting as in this Section 4 below.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Apr 12, 2015

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