Vol.2, No 8, 1998 pp. 641 - 648
UDC: 517.93

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EXPONENTIAL SPLITTING OF THE LINEAR PARABOLIC EQUATION
E. P. Belan, O. B. Lykova
Institute for Mathematic Ukraine Academy of Science, Kiev 252004
E-mail: lykova@imath.kiev.ua

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Abstract. The linear parabolic equation with the fast changing coefficients is considered. The problem of construction of the transformation which realizes the splitting of the initial equation is solved. The important role of integral manifolds in solving this problem is established.
Key words. Coercive operator, parabolic equation, fast-changing coefficients, linear manifold, exponential splitting.

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EKSPONENCIJALNO DELJENJE LINEARNE PARABOLIČNE JEDNAČINE Razmatra se linearna parabolična jednačina sa brzo promenljivim koeficijentima. Rešen je problem konstruisanja transformacije kojom se realizuje deljenje početne jednačine. Ustanovljena je značajna uloga integralnih mnogostrukosti u rešavanju ovog problema.