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arXiv · 1002.3566

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

Veronica Felli·Ana Primo
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Abstract

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.

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Veronica Felli, Ana Primo. 2010-02-18. Classification of local asymptotics for solutions to heat equations with inverse-square potentials. https://arxiv.org/abs/1002.3566

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