Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source

  • N. V. Afanaseva
  • A. F. Tedeev Ин-т прикл. математики и механики НАН Украины, Донецк

Abstract

We consider the Cauchy problem for a doubly nonlinear degenerate parabolic equation with nonlocal source under the assumption that the initial function is integrable. We establish the existence and nonexistence of time-global solutions of the problem.
Published
25.11.2005
How to Cite
AfanasevaN. V., and TedeevA. F. “Theorems on the Existence and Nonexistence of Solutions of the Cauchy Problem for Degenerate Parabolic Equations With Nonlocal Source”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 11, Nov. 2005, pp. 1443–1464, https://umj.imath.kiev.ua/index.php/umj/article/view/3700.
Section
Research articles