Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Siberian participants

The application of the weak approximation method in inverse problems

Belov Y.Y.

Krasnoyarsk State University (Krasnoyarsk)

The report is devoted to the application of the splitting method at differential equations (the weak approximation method by N.N. Yanenko [3-5]) for the problems of identification of coefficients in partial differential equations. Theorem concerning the weak approximation method convergence for integrodifferential equations is formulated and proved. On the basis of this theorem the solvability of inverse problems for partial differential equations is proved. This method is used by investigation of the problem with unknown lowest coefficient in parabolic equation.

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Note. Abstracts are published in author's edition

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