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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Last modified: July 6, 1999