کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417190 1338534 2015 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Continuous dependence estimate for conservation laws with Lévy noise
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Continuous dependence estimate for conservation laws with Lévy noise
چکیده انگلیسی

We are concerned with multidimensional stochastic balance laws driven by Lévy processes. Using bounded variation (BV) estimates for vanishing viscosity approximations, we derive an explicit continuous dependence estimate on the nonlinearities of the entropy solutions under the assumption that Lévy noise only depends on the solution. This result is used to show the error estimate for the stochastic vanishing viscosity method. In addition, we establish fractional BV estimate for vanishing viscosity approximations in case the noise coefficient depends on both the solution and spatial variable.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 9, 5 November 2015, Pages 4683-4706
نویسندگان
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