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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/132425
Density estimates on a parabolic spde
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We consider a general class of parabolic spde's ∂uε t,x ∂t = ∂2uε t,x ∂x2 + ∂ ∂x g(uε t,x) + f(uε t,x) + εσ(uε t,x)W˙ t,x, with (t, x) ∈ [0, T] × [0, 1] and εW˙ t,x, ε > 0, a perturbed Gaussian space-time white noise. For (t, x) ∈ (0, T] × (0, 1) we prove the called Davies and Varadhan-L´eandre estimates of the density pε t,x of the solution uε t,x.
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MÁRQUEZ, David (Márquez Carreras) and MELLOUK, M. Density estimates on a parabolic spde. Publicacions Matemàtiques. 2002. Vol. 46, num. 1, pags. 77-96. ISSN 0214-1493. [consulted: 16 of June of 2026]. Available at: https://hdl.handle.net/2445/132425