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math.AP2024
Fractional heat equation involving Hardy-Leray Potential
Boumediene Abdellaoui, Giovanni Siclari, Ana Primo
In this paper we analyse the existence and non-existence of non-negative solutions to a non-local parabolic equation with a Hardy-Leray type potential. More precisely, we consider…
math.AP2012★ 3 cited
Time decay of scaling critical electromagnetic Schrödinger flows
Luca Fanelli, Veronica Felli, Marco A. Fontelos +1
We obtain a representation formula for solutions to Schrödinger equations with a class of homogeneous, scaling-critical electromagnetic potentials. As a consequence, we prove the s…
math.AP2010
Classification of local asymptotics for solutions to heat equations with inverse-square potentials
Veronica Felli, Ana Primo
Asymptotic behavior of solutions to heat equations with spatially singular inverse-square potentials is studied. By combining a parabolic Almgren type monotonicity formula with blo…