Nonlinear Young differential equations: a review
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Publication:6103303
DOI10.1007/s10884-021-09952-warXiv2009.12884OpenAlexW3134963109WikidataQ115383283 ScholiaQ115383283MaRDI QIDQ6103303
Publication date: 2 June 2023
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.12884
numerical schemestransport equationsflow propertynonlinear Young integralYoung differential equationsparabolic Young equations
Fractional ordinary differential equations (34A08) Rough paths (60L20) Rough partial differential equations (60L50)
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Cites Work
- Unnamed Item
- Averaging along irregular curves and regularisation of ODEs
- Rough linear transport equation with an irregular drift
- Transport equation and Cauchy problem for BV vector fields
- Controlled differential equations as Young integrals: a simple approach
- Noiseless regularisation by noise
- Curvilinear integrals along enriched paths
- Young integrals and SPDEs
- Flows driven by rough paths
- Ordinary differential equations, transport theory and Sobolev spaces
- Integration with respect to fractal functions and stochastic calculus. I
- Differential equations driven by rough signals
- Differential equations driven by fractional Brownian motion
- Nonautonomous Young differential equations revisited
- Controlling rough paths
- Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young
- Regularization of multiplicative SDEs through additive noise
- Rough flows
- Topological degree and nonlinear mappings of analytic type in Banach spaces
- An inequality of the Hölder type, connected with Stieltjes integration
- Pathwise regularisation of singular interacting particle systems and their mean field limits
- Nonlinear Young Integrals via Fractional Calculus
- Some Remarks on Davie’s Uniqueness Theorem
- Multidimensional Stochastic Processes as Rough Paths
- Nonlinear PDEs with Modulated Dispersion I: Nonlinear Schrödinger Equations
- Differential Equations Driven by Rough Paths: An Approach via Discrete Approximation
- Rough path analysis via fractional calculus
- Unbounded rough drivers
- Stochastic partial differential equations: a rough paths view on weak solutions via Feynman–Kac
- On nonlinear rough paths
- Topological Fixed Point Theory of Multivalued Mappings
- Nonlinear Young integrals and differential systems in Hölder media
- A course on rough paths. With an introduction to regularity structures
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