FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 2, PAGES 385-409

**On periodic contrast structures in singularly perturbed elliptic
equations**

V. F. Butuzov

I. V. Nedelko

Abstract

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```
The periodic solutions having internal layers in
two-dimensional singularly perturbed elliptic equation with
different powers of small parameter at higher derivatives
are constructed. The existence of spike-type and step-type
contrast structures is proved and asymptotics of the contrast
structures are constructed.
```

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Location: http://mech.math.msu.su/~fpm/eng/99/992/99203t.htm

Last modified: July 6, 1999