%0 Journal Article
%T Classification of local asymptotics for solutions to heat equations with inverse-square potentials
%A Veronica Felli
%A Ana Primo
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1002.3566v1