NONLOCAL BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONHOMOGENEOUS PARABOLIC TYPE EQUATIONS WITH TWO DEGENERATE LINES
This work is devoted to the study of the conditional correctness of the nonlocal
boundary value problem for a system of nonhomogeneous parabolic type equations
with two degeneration lines. In this article, based on the idea of A.N. Tikhonov,
the conditional correctness of the problem are proved, namely, the theorems of
uniqueness and conditional stability on the set of correctness are proved. For getting
a priori estimate of the solution we used the logarithmic convexity method and the
results of the spectral problem considered by S.G. Pyatkov.
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