Sharp convex generalizations of stochastic Gronwall inequalities
DOI10.1016/j.jde.2024.02.018arXiv2112.05047OpenAlexW4391977723MaRDI QIDQ6124485
Publication date: 27 March 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.05047
sharp constantsSnell envelopestochastic Gronwall inequalityLenglart's domination inequalityexponential moments of path-dependent SDEsstochastic Bihari-LaSalle inequality
Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Brownian motion (60J65) Martingales with continuous parameter (60G44) Stochastic functional-differential equations (34K50)
Cites Work
- Unnamed Item
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- Strong completeness and semi-flows for stochastic differential equations with monotone drift
- A note on the domination inequalities and their applications
- Exponential integrability properties of Euler discretization schemes for the Cox-Ingersoll-Ross process
- Strong pathwise solutions of the stochastic Navier-Stokes system
- Distribution function inequalities for martingales
- Singular Brownian diffusion processes
- Well-posedness and long time behavior of singular Langevin stochastic differential equations
- McKean-Vlasov SDEs with drifts discontinuous under Wasserstein distance
- Asymptotic log-Harnack inequality and applications for stochastic systems of infinite memory
- Distribution dependent SDEs with singular coefficients
- Well-posedness of distribution dependent SDEs with singular drifts
- A stochastic Gronwall inequality and applications to moments, strong completeness, strong local Lipschitz continuity, and perturbations
- Sharpness of Lenglart's domination inequality and a sharp monotone version
- Mean field limit of ensemble square root filters -- discrete and continuous time
- A uniqueness criterion for ordinary differential equations
- Strong convergence rate of Euler-Maruyama approximations in temporal-spatial Hölder-norms
- On invariant measures and the asymptotic behavior of a stochastic delayed SIRS epidemic model
- Ergodicity of stochastic differential equations with jumps and singular coefficients
- On the strong Feller property for stochastic delay differential equations with singular drift
- \(L^q(L^p)\)-theory of stochastic differential equations
- Superposition principle for non-local Fokker-Planck-Kolmogorov operators
- Moment explosions in stochastic volatility models
- On the pathwise uniqueness of solutions to stochastic differential equations
- A STOCHASTIC GRONWALL LEMMA
- Sharp maximal inequalities for the martingale square bracket
- Existence and uniqueness of solutions of stochastic functional differential equations
- Continuity properties of the semi-group and its integral kernel in non-relativistic QED
- A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
- Well-posedness and stability for a class of stochastic delay differential equations with singular drift
- Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*
- A Stochastic Gronwall Lemma and Well-Posedness of Path-Dependent SDEs Driven by Martingale Noise
- Extension of a stochastic Gronwall lemma
- Stochastic version of Henry type Gronwall’s inequality
- A stochastic Gronwall lemma revisited
- Uniqueness theorems and successive approximations
- Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity
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