2017
Том 69
№ 9

All Issues

Classical solutions of parabolic initial-boundary value problems and Hormander spaces.

Los’ V. M.


Abstract

For the second-order linear parabolic differential equations with complex-valued coefficients, we establish new sufficient conditions under which the generalized solutions of these problems are continuous. The conditions are formulated in the terms of belonging of the right-hand sides of these problems to certain anisotropic Ho¨rmander spaces.

Citation Example: Los’ V. M. Classical solutions of parabolic initial-boundary value problems and Hormander spaces. // Ukr. Mat. Zh. - 2016. - 68, № 9. - pp. 1229-1239.