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


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.
How to Cite
Afanaseva, N. V., and A. F. Tedeev. “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,
Research articles