کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610667 1338578 2013 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Regularization by 12-Laplacian and vanishing viscosity approximation of HJB equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Regularization by 12-Laplacian and vanishing viscosity approximation of HJB equations
چکیده انگلیسی

We investigate the regularizing effect of adding small fractional Laplacian, with critical fractional exponent 12, to a general first order HJB equation. Our results include some regularity estimates for the viscosity solutions of such perturbations, making the solutions classically well-defined. Most importantly, we use these regularity estimates to study the vanishing viscosity approximation to first order HJB equations by 12-Laplacian and derive an explicit rate convergence for the vanishing viscosity limit.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 11, 1 December 2013, Pages 4052–4080
نویسندگان
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