粗糙路径驱动的传输方程的初始边界值问题

IF 0.4 Q4 STATISTICS & PROBABILITY Theory of Probability and Mathematical Statistics Pub Date : 2024-05-10 DOI:10.1090/tpms/1212
Dai Noboriguchi
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引用次数: 0

摘要

在本文中,我们关注的是由弱几何荷尔德 p p - 通过路径驱动的传输方程的初始 Dirichlet 边界值问题。我们引入了带边界条件的粗糙偏微分方程解的概念。因此,我们将在下文所述的一些假设条件下建立这样一个解的好求解性。此外,我们还将明确给出解。
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Initial-boundary value problem for transport equations driven by rough paths
In this paper, we are interested in the initial Dirichlet boundary value problem for a transport equation driven by weak geometric Hölder p p -rough paths. We introduce a notion of solutions to rough partial differential equations with boundary conditions. Consequently, we will establish a well-posedness for such a solution under some assumptions stated below. Moreover, the solution is given explicitly.
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CiteScore
1.30
自引率
0.00%
发文量
22
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