Title

The Rate of Spatial Decay of Nonnegative Solutions of Nonlinear Parabolic Equations and Inequalities

Document Type

Article

Publication Date

1991

Abstract

Let L be a uniformly parabolic linear partial differential operator. We show that nonnegative solutions of the differential inequality Lu ≤ c(u + ∇u|) on Rn x (0,T) for which u(x,T) = 0(exp(-δ|x|2)) must be identically zero if the constant δ is sufficiently large. An analogous result is given for nonlinear systems.

Comments

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Reviewed at MR1059627

DOI

10.1090/S0002-9939-1991-1059627-3

Source Publication

Proceedings of the American Mathematical Society

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