Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (6): 2378-2388.doi: 10.1016/S0252-9602(11)60406-2

• Articles • Previous Articles    

A NONLINEAR LAVRENTIEV-BITSADZE MIXED TYPE EQUATION

Chen Shuxing   

  1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China
  • Received:2011-11-03 Online:2011-11-20 Published:2011-11-20
  • Supported by:

    The paper is partially supported by National Natural Science Foundation of China (10531020) and the Doctorial Foundation of National Educational Ministry (20090071110002).

Abstract:

In this paper the Tricomi problem for a nonlinear mixed type equation is studied. The coefficients of themixed type equation are discontinuous on the line, where the equation changes its type. The existence of solution to this problem is proved. The method
developed in this paper can be applied to study more difficult problems for nonlinear mixed type equations arising in gas dynamics.

Key words: nonlinear mixed type equation, Tricomi problem, Lavrentiev-Bitsadze equa-tion, partial hodograph transformation

CLC Number: 

  • 35M10
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