R. Pinsky

activity

20042026

most citedThe compact support property for measure-valued processes

10 citations · 38 across the 41 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.SP2008

Explicit and Almost Explicit Spectral Calculations for Diffusion Operators

Ross G. Pinsky

The diffusion operator $H_{D} = - \frac{1}{2} \frac{d}{d x} a \frac{d}{d x} - b \frac{d}{d x} = - \frac{1}{2} exp (- 2 B) \frac{d}{d x} a exp (2 B) \frac{d}{d x},$ where $B (x) = \int_{0}^{x} \frac{b}{a} (y) d y$ , defined either o…

math.AP2008

The Fujita Exponent for Semilinear Heat Equations with Quadratically Decaying Potential or in an Exterior Domain

Ross G. Pinsky

Consider the equation u_t=Δu-Vu +au^p \text{in} R^n\times (0,T); u(x,0)=ϕ(x)\gneq0, \text{in} R^n, where $p > 1$ , $n \geq 2$ , $T \in (0, \infty]$ , $V (x) \sim \frac{ω}{∣ x ∣ ^{2}}$ as $∣ x ∣ \to \infty$ …

math.PR2008★ 9 cited

Transcience/recurrence for normally reflected Brownian motion in unbounded domains

Ross G. Pinsky

Let $D ⊊ R^{d}$ be an unbounded domain and let $B (t)$ be a Brownian motion in $D$ with normal reflection at the boundary. We study the transcience/recurrence dichotomy, focus…