DOI

We study the validity of an extension of Frobenius theorem on integral manifolds for some classes of Pfaff-type systems of partial differential equations involving multidimensional “rough” signals, i.e. “differentials” of given Hölder continuous functions interpreted in a suitable way, similarly to Young Differential Equations in Rough Paths theory. This can be seen as a tool to study solvability of exterior differential systems involving rough differential forms, i.e. the forms involving weak (distributional) derivatives of highly irregular (e.g. Hölder continuous) functions; the solutions (integral manifolds) being also some very weakly regular geometric structures.

Язык оригиналаанглийский
Страницы (с-по)91-137
Число страниц47
ЖурналJournal of Differential Equations
Том337
Дата раннего онлайн-доступа5 авг 2022
DOI
СостояниеОпубликовано - 15 ноя 2022

    Предметные области Scopus

  • Анализ
  • Прикладная математика

ID: 100611438