Y. Pinchover

activity

20002005

most citedA ground state alternative for singular Schrödinger operators

9 citations · 10 across the 4 of their papers we have counts for

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5 papers · 1 filter

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…

math.AP2002

Large time behavior of the heat kernel

Yehuda Pinchover

In this paper we study the large time behavior of the (minimal) heat kernel $k_{P}^{M} (x, y, t)$ of a general time independent parabolic operator $L = u_{t} + P (x, \partial_{x})$ which is define…

math.AP2000

Integral representations and Liouville theorems for solutions of periodic elliptic equations

Peter Kuchment, Yehuda Pinchover

The paper contains integral representations for certain classes of exponentially growing solutions of second order periodic elliptic equations. These representations are the analog…