کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10527390 | 958843 | 2014 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise](/preview/png/10527390.png)
چکیده انگلیسی
Due to technical reasons, existing results concerning Harnack type inequalities for SPDEs with multiplicative noise apply only to the case where the coefficient in the noise term is a Hilbert-Schmidt perturbation of a constant bounded operator. In this paper we obtained gradient estimates, log-Harnack inequality for mild solutions of general SPDEs with multiplicative noise whose coefficient is even allowed to be unbounded which cannot be Hilbert-Schmidt. Applications to stochastic reaction-diffusion equations driven by space-time white noise are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 124, Issue 3, March 2014, Pages 1261-1274
Journal: Stochastic Processes and their Applications - Volume 124, Issue 3, March 2014, Pages 1261-1274
نویسندگان
Feng-Yu Wang, Tusheng Zhang,