A priori estimates of solutions of linear parabolic problems with coefficients from Sobolev spaces
Abstract
We consider the general initial-boundary-value problem for a linear parabolic equation of arbitrary even order in anisotropic Sobolev spaces. We prove the existence and uniqueness of a solution and establish ana priori estimate for it.Downloads
Published
25.11.1999
Issue
Section
Research articles
How to Cite
Romanenko, I. B., and I. V. Skrypnik. “A Priori Estimates of Solutions of Linear Parabolic Problems With Coefficients from Sobolev Spaces”. Ukrains’kyi Matematychnyi Zhurnal, vol. 51, no. 11, Nov. 1999, pp. 1534–1548, https://umj.imath.kiev.ua/index.php/umj/article/view/4755.