Yehuda Pinchover

most citedA ground state alternative for singular Schrödinger operators

9 citations · 10 across the 3 of their papers we have counts for

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math.AP2005★ 1 cited

On Davies' conjecture and strong ratio limit properties for the heat kernel

Yehuda Pinchover

We study strong ratio limit properties and the exact long time asymptotics of the heat kernel of a general second-order parabolic operator which is defined on a noncompact Riemanni…

math.AP2004★ 9 cited

A ground state alternative for singular Schrödinger operators

Yehuda Pinchover, Kyril Tintarev

Let $a$ be a quadratic form associated with a Schrödinger operator $L = - \nabla \cdot (A \nabla) + V$ on a domain $Ω \subset R^{d}$ . If $a$ is nonnegative on $C_0^…

math.AP2004

Existence of minimizers for Schrodinger operators under domain perturbations with application to Hardy's inequality

Yehuda Pinchover, Kyril Tintarev

The paper studies the existence of minimizers for Rayleigh quotients $μ_{Ω} = in f \frac{\int _{Ω} ∣\nabla u ∣ ^{2}}{\int _{Ω} V ∣ u ∣ ^{2}}$ , where $Ω$ is a domain in $R^{N}$ , and $V$ is a non…