Skip to main content
Log in

The Exterior Tricomi Problem for Generalized Mixed Equations with Parabolic Degeneracy

  • ORIGINAL ARTICLES
  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

This paper deals with the exterior Tricomi problem for generalized mixed equations with parabolic degeneracy. Firstly the representation of solutions of the problem for the equations is given, and then the uniqueness and existence of solutions are proved by a new method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bers, L.: Mathematical Aspects of Subsonic and Transonic Gas Dynamics, Wiley, New York, 1958

  2. Bitsadze, A. V.: Some Classes of Partial Differential Equations, Gordon and Breach, New York, 1988

  3. Rassias, J. M.: Lecture notes on mixed type partial differential equations, World Scientific, Singapore, 1990

  4. Smirnov, M. M.: Equations of mixed type, Amer. Math. Soc., Providence RI, 1978

  5. Sun, H. S.: Tricomi problem for nonlinear equation of mixed type. Sci. in China, Series A, 35, 14–20 (1992)

    MATH  Google Scholar 

  6. Salakhitdinov, M. S., Islomov, B.: The Tricomi problem for the general linear equation of mixed type with a nonsmooth line of degeneracy. Soviet Math. Dokl., 34, 133–136 (1987)

    MATH  Google Scholar 

  7. Wen, G. C.: The mixed problem for degenerate elliptic equations of second order. Analysis in Theory and Applications, 21, 118–131 (2005)

    MATH  Google Scholar 

  8. Wen, G. C., Begehr, H.: Boundary value problems for elliptic equations and systems, Longman Scientific and Technical Company, Harlow, 1990

  9. Wen, G. C.: Linear and quasilinear equations of hyperbolic and mixed types, Taylor and Francis, London, 2002

  10. Dong, G. C.: Boundary value problems for degenerate elliptic partial differential equations. Sci. Sinica, 4, 105–126 (1963)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guo Chun Wen.

Additional information

This research is supported by NSFC (No. 10471149)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wen, G.C. The Exterior Tricomi Problem for Generalized Mixed Equations with Parabolic Degeneracy. Acta Math Sinica 22, 1385–1398 (2006). https://doi.org/10.1007/s10114-005-0707-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10114-005-0707-1

Keywords

MR (2000) Subject Classification

Navigation