Probabilistic Treatment of the Blowing up of Solutions for a Nonlinear

@inproceedings{EQUATION2010ProbabilisticTO,
  title={Probabilistic Treatment of the Blowing up of Solutions for a Nonlinear},
  author={INTEGRAL EQUATION and Masao Nagasawa},
  year={2010}
}
depends on the dimension d and power ß, where G is the infinitesimal generator of a linear nonnegative contraction semigroup on the space B(Rd) of bounded measurable functions on Rd and c is a bounded nonnegative measurable function on Rd. This fact was recently proved by Fujita [2] when G is the Laplacian operator. In this paper we will give upper and lower bounds for the solution of (1.1) constructed by a probabilistic method (cf. (3.4) and (4.7)). As a corollary we shall obtain Fujita's… CONTINUE READING