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Resultats globals: 3 registres trobats en 0.02 segons.
Articles, 3 registres trobats
Articles 3 registres trobats  
1.
71 p, 954.7 KB The hyperbolic Anderson model : moment estimates of the Malliavin derivatives and applications / Balan, Raluca M. (University of Ottawa. Department of Mathematics and Statistics) ; Nualart, David (University of Kansas. Department of Mathematics) ; Quer i Sardanyons, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zheng, Guangqu (The University of Edinburg. School of Mathematics)
In this article, we study the hyperbolic Anderson model driven by a space-time colored Gaussian homogeneous noise with spatial dimension d= 1 , 2. Under mild assumptions, we provide Lp-estimates of the iterated Malliavin derivative of the solution in terms of the fundamental solution of the wave solution. [...]
2022 - 10.1007/s40072-021-00227-5
Stochastics and Partial Differential Equations: Analysis and Computations, Vol. 10, Issue 3 (January 2022) , p. 757-827  
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2.
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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3.
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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