کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609633 1338521 2016 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gradient estimates and applications for SDEs in Hilbert space with multiplicative noise and Dini continuous drift
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Gradient estimates and applications for SDEs in Hilbert space with multiplicative noise and Dini continuous drift
چکیده انگلیسی

Consider the stochastic evolution equation in a separable Hilbert space HH with a nice multiplicative noise and a locally Dini continuous drift. We prove that for any initial data the equation has a unique (possibly explosive) mild solution. Under a reasonable condition ensuring the non-explosion of the solution, the strong Feller property of the associated Markov semigroup is proved. Gradient estimates and log-Harnack inequalities are derived for the associated semigroup under certain global conditions, which are new even in finite-dimensions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 260, Issue 3, 5 February 2016, Pages 2792–2829
نویسندگان
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