کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610300 1338555 2015 50 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the stochastic homogenization of fully nonlinear uniformly parabolic equations in stationary ergodic spatio-temporal media
ترجمه فارسی عنوان
در همگن شدن تصادفی معادلات یکنواخت پارابولیک به طور کامل غیر خطی در رسانه های فضایی-زمان محور
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

We study homogenization for fully nonlinear uniformly parabolic equations in stationary ergodic spatio-temporal media from the qualitative and quantitative perspectives. Under suitable hypotheses, solutions to fully nonlinear uniformly parabolic equations in spatio-temporal media homogenize almost surely. In addition, we obtain a logarithmic rate of convergence for this homogenization in measure, assuming that the environment is strongly mixing with a prescribed logarithmic rate. A general methodology to study the stochastic homogenization and rates of convergence for stochastic homogenization of uniformly elliptic equations was introduced by Caffarelli, Souganidis, and Wang [1], and Caffarelli and Souganidis [2]. We extend their approach to fully nonlinear uniformly parabolic equations, developing a number of new arguments to handle the parabolic structure of the problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 258, Issue 3, 1 February 2015, Pages 796–845
نویسندگان
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