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

Authors

Alan V. Lair, Air Force Institute of TechnologyFollow

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

Copyright © 1990 American Mathematical Society

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Reviewed at MR1059627

DOI

10.1090/S0002-9939-1991-1059627-3

Source Publication

Proceedings of the American Mathematical Society

Recommended Citation

Lair, A. V. (1991). The rate of spatial decay of nonnegative solutions of nonlinear parabolic equations and inequalities. Proceedings of the American Mathematical Society, 112(4), 1077–1077. https://doi.org/10.1090/S0002-9939-1991-1059627-3