Non-autonomous rough semilinear PDEs and the multiplicative sewing lemma
From MaRDI portal
Publication:820506
DOI10.1016/j.jfa.2021.109200OpenAlexW3185497476WikidataQ124830333 ScholiaQ124830333MaRDI QIDQ820506
Torstein Nilssen, Antoine Hocquet, Andris Gerasimovičs
Publication date: 27 September 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.13398
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Functional analysis techniques applied to functions of several complex variables (32A70) Semilinear parabolic equations (35K58) Rough partial differential equations (60L50)
Related Items (12)
Unstable manifolds for rough evolution equations ⋮ Solution properties of the incompressible Euler system with rough path advection ⋮ Local zero-stability of rough evolution equations ⋮ Stochastic evolution equations with rough boundary noise ⋮ An application of the multiplicative Sewing Lemma to the high order weak approximation of stochastic differential equations ⋮ Strong solutions of semilinear SPDEs with unbounded diffusion ⋮ Center manifolds for rough partial differential equations ⋮ Random attractors for rough stochastic partial differential equations ⋮ A pathwise stochastic Landau-Lifshitz-Gilbert equation with application to large deviations ⋮ Existence of smooth stable manifolds for a class of parabolic SPDEs with fractional noise ⋮ Nonuniqueness in law of stochastic 3D Navier-Stokes equations ⋮ Global solutions for semilinear rough partial differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Perturbed linear rough differential equations
- A discrete approach to rough parabolic equations
- Numerical schemes for rough parabolic equations
- Non-linear rough heat equations
- Is the stochastic parabolicity condition dependent on \(p\) and \(q\)?
- A (rough) pathwise approach to a class of non-linear stochastic partial differential equations
- A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs
- Dissipative operators in a Banach space
- Ramification of rough paths
- Young integrals and SPDEs
- Ordinary differential equations, transport theory and Sobolev spaces
- A non-commutative sewing lemma
- Semigroups of linear operators and applications to partial differential equations
- Differential equations driven by rough signals
- Stochastic evolution equations with random generators
- Forward, backward and symmetric stochastic integration
- A priori estimates for rough PDEs with application to rough conservation laws
- Kolmogorov equations and weak order analysis for SPDEs with nonlinear diffusion coefficient
- Controlling rough paths
- The non-linear sewing lemma. II. Lipschitz continuous formulation
- An energy method for rough partial differential equations
- Pathwise mild solutions for quasilinear stochastic partial differential equations
- A stochastic sewing lemma and applications
- The non-linear sewing lemma III: stability and generic properties
- Quasilinear rough partial differential equations with transport noise
- On a rough perturbation of the Navier-Stokes system and its vorticity formulation
- Rough evolution equations
- Hörmander's theorem for semilinear SPDEs
- The non-linear sewing lemma I: weak formulation
- Local mild solutions for rough stochastic partial differential equations
- Rough flows
- On the Navier-Stokes equation perturbed by rough transport noise
- Rough path stability of (semi-)linear SPDEs
- Integration of the equation of evolution in a Banach space
- Vector-valued Laplace Transforms and Cauchy Problems
- Multidimensional Stochastic Processes as Rough Paths
- Stochastic Equations in Infinite Dimensions
- LOCALLY CONVEX VECTOR TOPOLOGIES ON B(X, Y)
- Quasilinear Evolution Equations and Parabolic Systems
- Stochastic partial differential equations and filtering of diffusion processes
- Fully nonlinear stochastic partial differential equations
- Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations
- Unbounded rough drivers
- Interpolation Theory
- Equations of parabolic type in a Banach space
- On the Construction and Comparison of Difference Schemes
- Intermediate spaces and interpolation, the complex method
- On equivalence of solution to stochastic differential equation with antipating evolution system
- Stochastic evolution equations
- A course on rough paths. With an introduction to regularity structures
This page was built for publication: Non-autonomous rough semilinear PDEs and the multiplicative sewing lemma