کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7550310 | 1489925 | 2018 | 56 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Paracontrolled calculus and Funaki-Quastel approximation for the KPZ equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we consider the approximating KPZ equation introduced by Funaki and Quastel (2015), which is suitable for studying invariant measures. They showed that the stationary solution of the approximating equation converges to the Cole-Hopf solution of the KPZ equation with extra term 124t. On the other hand, Gubinelli and Perkowski (2017) gave a pathwise meaning to the KPZ equation as an application of the paracontrolled calculus. We show that Funaki and Quastel's result is extended to nonstationary solutions by using the paracontrolled calculus.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 128, Issue 4, April 2018, Pages 1238-1293
Journal: Stochastic Processes and their Applications - Volume 128, Issue 4, April 2018, Pages 1238-1293
نویسندگان
Masato Hoshino,