On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time

Del Santo, Daniele; Prizzi, Martino

doi:10.1090/S0002-9939-06-08465-6

On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time
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by Daniele Del Santo and Martino Prizzi

Proc. Amer. Math. Soc. 135 (2007), 383-391

DOI: https://doi.org/10.1090/S0002-9939-06-08465-6

Published electronically: August 2, 2006

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Abstract:

We find minimal regularity conditions on the coefficients of a parabolic operator, ensuring that no nontrivial solution tends to zero faster than any exponential.

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