Classification of local asymptotics for solutions to heat equations with inverse-square potentials
Analysis of PDEs
2010-02-19 v1
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.
Keywords
Cite
@article{arxiv.1002.3566,
title = {Classification of local asymptotics for solutions to heat equations with inverse-square potentials},
author = {Veronica Felli and Ana Primo},
journal= {arXiv preprint arXiv:1002.3566},
year = {2010}
}