Problem with two-point conditions for parabolic equation of second order on time

Abstract

The correctness of the problem with two-point conditions on time variable and Dirichlet-type conditions on spetial coordinates for the linear parabolic equations are established. The metric theorem about estimate from below of small denominators of the problem is proved.

Keywords

• parabolic equations
• two-point problem
• fourier series
• small denominators
• hausdorff measure