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arXiv:1002.3566 [math.AP]AbstractReferencesReviewsResources

Classification of local asymptotics for solutions to heat equations with inverse-square potentials

Veronica Felli, Ana Primo

Published 2010-02-18Version 1

Asymptotic behavior of solutions to heat equations with spatially singular inverse-square potentials is studied. By combining a parabolic Almgren type monotonicity formula with blow-up methods, we evaluate the exact behavior near the singularity of solutions to linear and subcritical semilinear parabolic equations with Hardy type potentials. As a remarkable byproduct, a unique continuation property is obtained.

Categories: math.AP
Subjects: 35K67, 35K58, 35B40
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