Article Contents
Article Contents

# On uniqueness of positive entire solutions and other properties of linear parabolic equations

• 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.
Mathematics Subject Classification: 35K20, 35B05, 35B40.

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