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Abstracts

In the work the problem of the identification of the factor at a time derivative and factor at a nonlinear member for semilinear parabolic equation with nonlinearity of enough general type is considered. For the proof of resolvability of Cauchy's problem for auxiliary nonlinear equation, containing traces of the solution, the method of weak approximation is used. In the case of Cauchy's problem univalent classical resolvability of the specified problem is proved in "small" is a class of smooth enough limited functions along with corresponding derivatives.

Note. Abstracts are published in author's edition

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© 1996-2000, Siberian Branch of Russian Academy of Science, Novosibirsk