Zhalij O. Symmetry and separation of variables in multi-dimensional parabolic type equations of mathematical physics

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U000702

Applicant for

Specialization

  • 01.01.03 - Математична фізика

20-02-2001

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The thesis is mainly devoted to the problems of classification of some parabolic type linear equations of mathematical physics having variable coefficients, that are solvable by the method of separation of variables, and to the problems of classification of all coordinate systems providing separability of these equations. It is established that both these problem reduce to integrating the system of nonlinear partial differential equations.

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