Singularly Perturbed Elliptic Problems in the Case of Exchange of Stabilities

Journal of Differential Equations

Volumn 169, Issue 2, 2001, Pages 373-395

  Butuzov, V F ^a   Nefedov, N N ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

Author keywords

Singular perturbation; asymptotic methods; upper and lower solutions; jumping behavior of reaction rates

Indexed keywords

EID: 0035915896     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3904     Document Type: Article

References (7)

1. Butuzov V.F., Nefedov N.N. Singularly perturbed boundary value problem for a second order equation in case of exchange of stability. Mat. Zamet. 63:1998;354-362.
2. Butuzov V. F., Nefedov N. N., Schneider K. R. Singularly perturbed boundary value problems in case of exchange of stabilities. J. Math. Anal. Appl. 229:1999;543-562.
3. Butuzov V. F., Smurov I. Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability. J. Math. Anal. Appl. 234:1999;183-192.
4. Nefedov N. N., Schneider K. R. Immediate exchange of stabilities in singularly perturbed systems. Differential and Integral Equations. 12:1999;583-599.
5. Nefedov N. N., Schneider K. R., Schuppert A. Jumping behavior in singularly perturbed systems modelling bimolecular reactions. Weierstraß-Institut für Angewandte Analysis und Stochastik. 1994.
6. Pao C. V. Nonlinear Parabolic and Elliptic Equations. 1992;Plenum Press, New York/London.
7. Vasil'eva A. B., Butuzov V. F., Kalachev L. V. The Boundary Function Method for Singular Perturbation Problems. SIAM Studies in Applied Mathematics. 1995;SIAM, Philadelphia.