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1.
16 p, 417.5 KB Hölder continuity for the Parabolic Anderson Model with space-time homogeneous Gaussian noise / Balan, Raluca M. (University of Ottawa. Department of Mathematics and Statistics) ; Quer i Sardanyons, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Song, Jian (Shandong University. School of Mathematics)
In this article, we consider the Parabolic Anderson Model with constant initial condition, driven by a space-time homogeneous Gaussian noise, with general covariance function in time and spatial spectral measure satisfying Dalang's condition. [...]
2019 - 10.1007/s10473-019-0306-3
Acta Mathematica Scientia, Vol. 39, Issue 3 (May 2019) , p. 717-730  
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2.
44 p, 619.5 KB Existence of density for the stochastic wave equation with space-time homogeneous Gaussian noise / Balan, Raluca M. (University of Ottawa. Department of Mathematics and Statistics (Canada)) ; Quer i Sardanyons, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Song, Jian (Shandong University. School of Mathematics (China))
In this article, we consider the stochastic wave equation on R × R, driven by a linear multiplicative space-time homogeneous Gaussian noise whose temporal and spatial covariance structures are given by locally integrable functions γ (in time) and f (in space), which are the Fourier transforms of tempered measures ν on R, respectively µ on R. [...]
2019 - 10.1214/19-EJP363
Electronic Journal of Probability, Vol. 24, Issue 106 (2019) , p. 1-43  
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Vegeu també: autors amb noms similars
1 Song, J.
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