A priori estimates of solutions of linear parabolic problems with coefficients from Sobolev spaces
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.
English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 11, pp 1733-1748.
Citation Example: Romanenko I. B., Skrypnik I. V. A priori estimates of solutions of linear parabolic problems with coefficients from Sobolev spaces // Ukr. Mat. Zh. - 1999. - 51, № 11. - pp. 1534–1548.