On exterior differential systems involving differentials of Hölder functions
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Publication:2172464
DOI10.1016/j.jde.2022.07.037OpenAlexW4289947632MaRDI QIDQ2172464
Eugene Stepanov, Dario Trevisan
Publication date: 15 September 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.05565
exterior differential systemsFrobenius theoremrough pathsweak geometric structuresYoung differential equations
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Pfaffian systems (58A17) A priori estimates in context of PDEs (35B45) PDEs with randomness, stochastic partial differential equations (35R60) Regularity structures (60L30)
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Cites Work
- Steady nearly incompressible vector fields in two-dimension: chain rule and renormalization
- Integration of Hölder forms and currents in snowflake spaces
- The Jacobian determinant revisited
- Curvilinear integrals along enriched paths
- Commutators of flow maps of nonsmooth vector fields
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Controlling rough paths
- A Frobenius-type theorem for singular Lipschitz distributions
- Integrability of continuous bundles
- Some results on maps that factor through a tree
- A uniqueness result for the continuity equation in two dimensions
- On the commutativity of flows of rough vector fields
- Multidimensional Stochastic Processes as Rough Paths
- A rough calculus approach to level sets in the Heisenberg group
- Lipschitz distributions and Anosov flows
- Ordinary Differential Equations
- A course on rough paths. With an introduction to regularity structures
- Consistency problems for Heath-Jarrow-Morton interest rate models
- Lie brackets of nonsmooth vector fields and commutation of their flows
