کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5130193 1378665 2017 34 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Travelling wave solutions to the KPP equation with branching noise arising from initial conditions with compact support
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Travelling wave solutions to the KPP equation with branching noise arising from initial conditions with compact support
چکیده انگلیسی

We consider the one-dimensional KPP-equation driven by space-time white noise and extend the construction of travelling wave solutions arising from initial data f0(x)=1∧(−x∨0) from (Tribe, 1996) to f0 non-negative continuous functions with compact support. As an application the existence of travelling wave solutions is used to prove that the support of any solution to the SPDE is recurrent. As a by-product, several upper measures are introduced that allow for a stochastic domination of any solution to the SPDE at a fixed point in time.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 127, Issue 2, February 2017, Pages 385-418
نویسندگان
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