No CrossRef data available.
Article contents
Growth of solutions of weakly coupled parabolic systems and Laplace's equation
Published online by Cambridge University Press: 09 April 2009
Abstract
Let ui(x, t) be the ith component of a nonnegative solution of a weakly coupled system of second-order, linear, parabolic partial differential equations, for x ∈ Rn and 0 < t < T. We obtain lower estimates, near t = 0, for the Lebesgue measure of the set of x for which exceeds 1. Related results for Poisson integrals on a half-space are also described, some applications are given, and interesting comparisons emerge.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 41 , Issue 3 , December 1986 , pp. 391 - 403
- Copyright
- Copyright © Australian Mathematical Society 1986