کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774182 1413548 2017 40 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Well-posedness of semilinear stochastic wave equations with Hölder continuous coefficients
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Well-posedness of semilinear stochastic wave equations with Hölder continuous coefficients
چکیده انگلیسی

We prove that semilinear stochastic abstract wave equations, including wave and plate equations, are well-posed in the strong sense with an α-Hölder continuous drift coefficient, if α∈(2/3,1). The uniqueness may fail for the corresponding deterministic PDE and well-posedness is restored by adding an external random forcing of white noise type. This shows a kind of regularization by noise for the semilinear wave equation. To prove the result we introduce an approach based on backward stochastic differential equations. We also establish regularizing properties of the transition semigroup associated to the stochastic wave equation by using control theoretic results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 3, 5 August 2017, Pages 1773-1812
نویسندگان
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