Skip to main content
Log in

Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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.

Bibliography

  1. Courant, R., & D. Hilbert, Methods of Mathematical Physics, Vol. II. New York: Interscience Publishers 1962.

    Google Scholar 

  2. Knowles, J.K., & R.E. Messick, On a class of singular perturbation problems. Journ. Math. Analysis and Appl. 9 (1964).

  3. Levinson, N., The first boundary value problem. Annals of Mathematics 51 (1950).

  4. Robinson, A.R., Wind Driven Ocean Circulation. Blaisdall Publ. Co. 1963.

  5. Shercliff, Magnetohydrodynamic pipe flow. Journ. Fluid Mech. 13 (1962).

  6. Višik, M.I., & L.A. Lyusternik, Regular degeneration and boundary layer for linear differential equations with small parameter. Uspehi Mat. Nauk 12 (1957). (American Mathematical Society Translation Series 2, 20 (1962).)

  7. Wasow, W., Asymptotic solution of boundary value problems for the differential equation \(\Delta u - \lambda \frac{{\partial u}}{{\partial x}} = \lambda f\left( {x,y} \right)\). Duke Math. J. 11 (1944).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by H. A. Lauwerier

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eckhaus, W., de Jager, E.M. Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type. Arch. Rational Mech. Anal. 23, 26–86 (1966). https://doi.org/10.1007/BF00281135

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00281135

Keywords

Navigation