Complete Solvability of the Cauchy Problem for Petrovskii Parabolic Equations in <em class="a-plus-plus">S</em>-Type Spaces

  • V. A. Litovchenko Чернiв. нац. ун-т

Abstract

We establish the correct solvability (in both directions) of the Cauchy problem for Petrovskii parabolic equations with time-dependent coefficients in S-type spaces. We also prove that a solution of this problem stabilizes to zero in the sense of the topology of these spaces.
Published
25.11.2002
How to Cite
LitovchenkoV. A. “Complete Solvability of the Cauchy Problem for Petrovskii Parabolic Equations in <em class="a-Plus-plus">S</Em&gt;-Type Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 11, Nov. 2002, pp. 1467-79, https://umj.imath.kiev.ua/index.php/umj/article/view/4185.
Section
Research articles