A priori estimates of solutions of linear parabolic problems with coefficients from Sobolev spaces

  • I. B. Romanenko
  • I. V. Skrypnik

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.
Published
25.11.1999
How to Cite
RomanenkoI. B., and SkrypnikI. V. “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.
Section
Research articles