WIAS Preprint No. 2696, (2020)

Transport and continuity equations with (very) rough noise



Authors

  • Bellinger, Carlo
  • Djurdjevac, Ana
  • Friz, Peter
    ORCID: 0000-0003-2571-8388
  • Tapia, Nikolas
    ORCID: 0000-0003-0018-2492

2010 Mathematics Subject Classification

  • 35R60 60L20 60L50

Keywords

  • Rough transport equation, rough continuitynuity equation, first order rough partial differential equations

DOI

10.20347/WIAS.PREPRINT.2696

Abstract

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

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