Keywords: معادله گرمای تصادفی; 60H15; 60H35; 65C30; Stochastic heat equation; Fractional noise; Bismut formula; Harnack inequality;
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Keywords: معادله گرمای تصادفی; 60H15; Stochastic heat equation; White noise; Fractional noise; Girsanov transformation; Transportation inequality;
Random eigenvalues from a stochastic heat equation
Keywords: معادله گرمای تصادفی; 15B52; 47H40; Stochastic heat equation; Weak stochastic operator; Random matrix; Spectrum; Eigenvalues;
Stochastic PDEs with heavy-tailed noise
Keywords: معادله گرمای تصادفی; primary; 60H15; 60H20; 60G60; secondary; 60G52; 60G48; 60G51; 60G57; Generalized Gaussian densities; Heavy-tailed noise; Itô basis; Lévy basis; Parabolic stochastic PDE; Stable noise; Stochastic heat equation; Stochastic partial differential equation; S
SPDEs with rough noise in space: Hölder continuity of the solution
Keywords: معادله گرمای تصادفی; primary; 60H15; secondary; 60H05; Stochastic heat equation; Stochastic wave equation; Fractional noise; Hölder continuous paths;
Feynman–Kac representation for the parabolic Anderson model driven by fractional noise
Keywords: معادله گرمای تصادفی; Feynman–Kac formula; Parabolic Anderson model; Stochastic heat equation; Fractional Brownian motion
Stochastic Burgers PDEs with random coefficients and a generalization of the Cole-Hopf transformation
Keywords: معادله گرمای تصادفی; 60H15; 60H30; 35R60; 91G80; Stochastic Burgers equation; Random coefficients; Generalized Cole-Hopf transformation; Stochastic heat equation; Stochastic Feynman-Kac formulas; Controllability; Contingent claim pricing;
Heat equation with a general stochastic measure on nested fractals
Keywords: معادله گرمای تصادفی; 60G57; 60H15; Stochastic measure; Nested fractal; Stochastic equation on fractals; Stochastic heat equation; Mild solution;
Asymptotic behavior of the solution of heat equation driven by fractional white noise
Keywords: معادله گرمای تصادفی; Stochastic heat equation; Fractional Brownian sheet; Feynman–Kac formula; Asymptotic behavior; Method of moments
Lyapunov exponents of hybrid stochastic heat equations
Keywords: معادله گرمای تصادفی; Stochastic heat equation; Markov chain; Lyapunov exponent; Stabilization; Large deviation
Gaussian estimates for the density of the non-linear stochastic heat equation in any space dimension
Keywords: معادله گرمای تصادفی; 60H15; 60H07Gaussian density estimates; Malliavin calculus; Spatially homogeneous Gaussian noise; Stochastic heat equation
Spatial approximation of stochastic convolutions
Keywords: معادله گرمای تصادفی; 65M60; 65T60; 60H15; 60H35; 65C30Finite element; Wavelet; Stochastic heat equation; Stochastic wave equation; Wiener process; Additive noise
Stochastic integrals for spde's: A comparison
Keywords: معادله گرمای تصادفی; Primary; 60H15; Secondary; 60H05; Stochastic integral; Stochastic partial differential equation; Martingale measure; Cylindrical Wiener process; Hilbert-space-valued Wiener process; Spatially homogeneous Gaussian noise; Stochastic heat equation; Stochasti
The fractional stochastic heat equation on the circle: Time regularity and potential theory
Keywords: معادله گرمای تصادفی; primary, 60H15, 60J45; secondary, 60G15, 60G17Hitting probabilities; Stochastic heat equation; Fractional Brownian motion; Path regularity
Ito's- and Tanaka's-type formulae for the stochastic heat equation: The linear case
Keywords: معادله گرمای تصادفی; 60H15; 60H05; 60H07; 60G15; Stochastic heat equation; Malliavin calculus; Itô's formula; Tanaka's formula; Chaos decomposition;
Skorohod integration and stochastic calculus beyond the fractional Brownian scale
Keywords: معادله گرمای تصادفی; primary 60H07; secondary 60G15; 60H05; Skorohod integral; Malliavin calculus; Ito formula; Fractional Brownian motion; Gaussian processes; Local time; Stochastic differential equations; Stochastic heat equation;