killed brownian motions
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scholarly journals Minimal thinness with respect to subordinate killed Brownian motions

2016 ◽  
Vol 126 (4) ◽  
pp. 1226-1263 ◽  
Author(s):  
Panki Kim ◽  
Renming Song ◽  
Zoran Vondraček
Keyword(s):  
Brownian Motions ◽  
Minimal Thinness ◽  
Killed Brownian Motions

Killed Brownian motion and the Brunn–Minkowski inequalities

2012 ◽  
Vol 153 (1) ◽  
pp. 111-121
Author(s):  
HUILING LE
Keyword(s):  
Brownian Motion ◽  
Euclidean Space ◽  
Poisson Equation ◽  
Harmonic Functions ◽  
Convex Sets ◽  
Compact Convex ◽  
Compact Sets ◽  
Brownian Motions ◽  
The Poisson Equation ◽  
Killed Brownian Motions

AbstractWe construct triplets of killed Brownian motions to obtain the Brunn–Minkowski inequalities concerning the solutions of the equation (1/2)Δψ − h ψ = g on three interrelated compact sets in Euclidean space. These, in particular, include inequalities relating to the solutions of the Schrödinger equation and the Poisson equation on the three compact convex sets and an inequality relating to harmonic functions.

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