Nonlocal Parabolic Problem with Degeneration

  • I. M. Isaryuk
  • I. D. Pukalskyi

Abstract

We study the problem for a second-order linear parabolic equation with nonlocal integral condition in the time variable and power singularities in the coefficients of any order with respect to the time and space variables. By using the maximum principle and a priori estimates, we establish the existence and uniqueness of the solution of this problem in Hölder spaces with power weights.
Published
25.02.2014
How to Cite
IsaryukI. M., and PukalskyiI. D. “Nonlocal Parabolic Problem With Degeneration”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 2, Feb. 2014, pp. 208–215, http://umj.imath.kiev.ua/index.php/umj/article/view/2124.
Section
Research articles