灾祸 发表于 2025-3-23 12:52:27
Kolmogorov equations in Hilbert spaces,e diffusion operator corresponding to the system (4.0.1). In this chapter we want to study existence, uniqueness and optimal regularity in Holder spaces for the solutions of the parabolic and the elliptic problems associated with the operator ..SPASM 发表于 2025-3-23 17:30:46
http://reply.papertrans.cn/87/8632/863159/863159_12.png制定 发表于 2025-3-23 19:32:10
http://reply.papertrans.cn/87/8632/863159/863159_13.pngHeretical 发表于 2025-3-24 01:03:39
https://doi.org/10.1007/b80743Kolmogorov equations; Parameter; diffusion process; ergodicity; partial differential equation; partial di极小 发表于 2025-3-24 02:48:45
0075-8434 unded coefficients, both in finite and in infinite dimension. We focus our attention on the regularity properties of the solutions and hence on the smoothing effect of the corresponding transition semigroups in the space of bounded and uniformly continuous functions. As an application of these resulSigmoidoscopy 发表于 2025-3-24 10:27:46
http://reply.papertrans.cn/87/8632/863159/863159_16.png主动脉 发表于 2025-3-24 11:17:38
Introduction,e . = (. . .,... ,. .(.)) is a standard .-dimensional Brownian motion, the vector field . : ℝ. → ℝ. and the matrix valued function σ : ℝ. → ℒ(ℝ.) are smooth and have polynomial growth together with their derivatives and b enjoys some dissipativity conditions.Decrepit 发表于 2025-3-24 15:41:51
Kolmogorov equations in , with unbounded coefficients,. . and the matrix .(.) = [. .(.)] is symmetric, strictly positive and of class . ., so that it can be written as . = ½σ.σ. ., .∈ℝ., for some function σ : ℝ. → ℒ(ℝ.) of class . . (in fact, we can take σ = √a). Both b and a are assumed to have polynomial growth and 6 enjoys some dissipativity conditiCupidity 发表于 2025-3-24 20:12:05
http://reply.papertrans.cn/87/8632/863159/863159_19.png史前 发表于 2025-3-25 01:14:10
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