Transport and continuity equations with (very) rough noise

被引：4

作者：

Bellingeri, C. ^{[1
]}

Djurdjevac, A. ^{[2
]}

Friz, P. K. ^{[1
,3
]}

Tapia, N. ^{[1
,3
]}

机构：

[1] TU Berlin, Berlin, Germany

[2] FU Berlin, Berlin, Germany

[3] WIAS, Berlin, Germany

来源：

PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2021年 / 2卷 / 04期

基金：

欧洲研究理事会;

关键词：

Rough transport equation; Rough continuity equation; First order rough partial differential equations; DIFFERENTIAL-EQUATIONS; CONSTRUCTION; PATH;

D O I：

10.1007/s42985-021-00101-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and uniqueness for rough flows, transport and continuity equations driven by general geometric rough paths are established.

引用

页数：26

共 26 条

[21] PARTIAL-DIFFERENTIAL EQUATION WITH WHITE NOISE AS A COEFFICIENT [J].

OGAWA, S .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1973, 28 (01) :53-71

Olivera, Christian ;

Tudor, Ciprian A. .

[23]

Peter K., 2010, Friz and Nicolas Victoir, Multidimensional stochastic processes as rough paths, Cambridge Studies in Advanced Mathematics

[24]

Peter K., 2014, Friz and Martin Hairer. A course on rough paths

[25] LIE ELEMENTS AND AN ALGEBRA ASSOCIATED WITH SHUFFLES [J].

REE, R .

[26] A Renormalized Rough Path over Fractional Brownian Motion [J].

Unterberger, Jeremie .