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Transport and continuity equations with (very) rough noise

C. Bellingeri (), A. Djurdjevac (), P. K. Friz () and N. Tapia ()
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C. Bellingeri: TU Berlin
A. Djurdjevac: FU Berlin
P. K. Friz: TU Berlin
N. Tapia: TU Berlin

Partial Differential Equations and Applications, 2021, vol. 2, issue 4, 1-26

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

Keywords: Rough transport equation; Rough continuity equation; First order rough partial differential equations; 35R60; 60L20; 60L50; 60H15 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00101-y

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