Isolated singularities of nonlinear parabolic inequalities Academic Article uri icon


  • We study C 2,1 nonnegative solutions u(x,t) of the nonlinear parabolic inequalities in a punctured neighborhood of the origin in, when >. We show that a necessary and sufficient condition on for such solutions u to satisfy an a priori bound near the origin is, and in this case, the a priori bound on u is u(x,t) = O > 0. This a priori bound for u can be improved by imposing an upper bound on the initial condition of u. Springer-Verlag 2007.

published proceedings


author list (cited authors)

  • Taliaferro, S. D.

citation count

  • 8

complete list of authors

  • Taliaferro, Steven D

publication date

  • July 2007