کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1155705 | 958759 | 2013 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Maximum principle for quasilinear SPDE's on a bounded domain without regularity assumptions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Maximum principle for quasilinear SPDE's on a bounded domain without regularity assumptions Maximum principle for quasilinear SPDE's on a bounded domain without regularity assumptions](/preview/png/1155705.png)
چکیده انگلیسی
We prove a maximum principle for local solutions of quasi-linear parabolic stochastic PDEs, with non-homogeneous second order operator on a bounded domain and driven by a space-time white noise. Our method based on an approximation of the domain and the coefficients of the operator, does not require regularity assumptions. As in previous works by Denis et al. (2005, 2009) [5,6], the results are consequences of Itô's formula and estimates for the positive part of local solutions which are non-positive on the lateral boundary.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 123, Issue 3, March 2013, Pages 1104-1137
Journal: Stochastic Processes and their Applications - Volume 123, Issue 3, March 2013, Pages 1104-1137
نویسندگان
Laurent Denis, Anis Matoussi,