On uniqueness of positive entire solutions and other properties of linear parabolic equations
Peter Poláčik - School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States (email)
Abstract: We give a simple proof of the uniqueness, up to scalar multiples, of positive entire solutions of linear nonautonomous parabolic equations. The proof is based on a new result on exponential growth of certain expressions involving solutions of the adjoint equation. We also discuss the relation of this result to the exponential separation theorem.
Keywords: Second order parabolic equations, entire solutions, uniqueness, exponential
Received: March 2003; Revised: October 2004; Available Online: December 2004.
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