scholarly journals Local nondeterminism and the exact modulus of continuity for stochastic wave equation

2019 ◽  
Vol 24 (0) ◽  
Author(s):  
Cheuk Yin Lee ◽  
Yimin Xiao
Keyword(s):  
Wave Equation ◽  
Modulus Of Continuity ◽  
Stochastic Wave Equation ◽  
Local Nondeterminism

A Modulus for the 3-Dimensional Wave Equation With Noise: Dealing With a Singular Kernel

1993 ◽  
Vol 45 (6) ◽  
pp. 1263-1275
Author(s):  
C. Mueller
Keyword(s):  
Wave Equation ◽  
Fundamental Solution ◽  
Modulus Of Continuity ◽  
Gaussian Noise ◽  
Singular Kernel ◽  
3 Dimensional ◽  
Noise Term ◽  
Dimensional Wave

AbstractWe give a modulus of continuity for solutions of the wave equation with a noise term:utt = Δu + a(u) + b(u)G, x ∈ ℝ3where G is a Gaussian noise. This case is more difficult than in lower dimensions because the fundamental solution of the wave equation is singular.

On the asymptotic solutions of Belavkin's stochastic wave equation

1992 ◽  
Vol 45 (3) ◽  
pp. 193-199 ◽  
Author(s):  
D Chruściński ◽  
P Staszewski
Keyword(s):  
Wave Equation ◽  
Asymptotic Solutions ◽  
Stochastic Wave Equation
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