OOIR: Observatory of International Research

Papers

(The median citation count of Stochastics and Partial Differential Equations-Analysis and Computatio is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)

Article	Citations
Central limit theorems for spatial averages of the stochastic heat equation via Malliavin–Stein’s method	12
From additive to transport noise in 2D fluid dynamics	11
Central limit theorems for stochastic wave equations in dimensions one and two	9
Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions	8
More on the long time stability of Feynman–Kac semigroups	7
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity I: measures	6
Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise	6
Well-posedness and asymptotic behavior of stochastic convective Brinkman–Forchheimer equations perturbed by pure jump noise	6
Quantitative normal approximations for the stochastic fractional heat equation	6
Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean–Vlasov SDEs	5
Anisotropic Gaussian random fields: criteria for hitting probabilities and applications	5
The stochastic Fisher-KPP Equation with seed bank and on/off branching coalescing Brownian motion	4
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations	4
Well-posedness for a stochastic 2D Euler equation with transport noise	4
Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two	3
Stochastic analysis with modelled distributions	3
Stochastic homogenization of the Landau–Lifshitz–Gilbert equation	3
Convergent numerical approximation of the stochastic total variation flow	3
The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications	3
Doubly nonlinear stochastic evolution equations II	3
$$L^2$$-theory for transition semigroups associated to dissipative systems	3
2D-defocusing nonlinear Schrödinger equation with random data on irrational tori	3
LDP and CLT for SPDEs with transport noise	3
Regularisation by regular noise	3
Numerical approximation of nonlinear SPDE’s	3

Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians	3
A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations	3
Local martingale solutions and pathwise uniqueness for the three-dimensional stochastic inviscid primitive equations	2
Moderate deviations for fully coupled multiscale weakly interacting particle systems	2
A central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order one	2
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations	2
Stochastic regularization for transport equations	2
Global well-posedness and long-time behavior of the fractional NLS	2
Backward and forward filtering under the weak Hörmander condition	2
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise	2
Stationary stochastic Navier–Stokes on the plane at and above criticality	2
A linear stochastic biharmonic heat equation: hitting probabilities	2
Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity	2
Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions	2
Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval	2
Norm inflation for a non-linear heat equation with gaussian initial conditions	2
An extension of the sewing lemma to hyper-cubes and hyperbolic equations driven by multi-parameter Young fields	2
Decay of the stochastic linear Schrödinger equation in $$d \ge 3$$ with small multiplicative noise	2
Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities	2
Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations	2
Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations	2
Stochastic evolution equations with Lévy noise in the dual of a nuclear space	2
Space-time Euler discretization schemes for the stochastic 2D Navier–Stokes equations	2
Stochastic resonance in stochastic PDEs	2
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds	2
Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes	2
On the Cauchy problem for stochastic integro-differential equations with radially O-regularly varying Lévy measure	1
A derivative-free Milstein type approximation method for SPDEs covering the non-commutative noise case	1
An improved characterisation of regular generalised functions of white noise and an application to singular SPDEs	1
Initial-boundary value problem for stochastic transport equations	1
The stochastic primitive equations with transport noise and turbulent pressure	1
A branching particle system approximation for solving partially observed stochastic optimal control problems via stochastic maximum principle	1
Local times for systems of non-linear stochastic heat equations	1
Lewy–Stampacchia’s inequality for a stochastic T-monotone obstacle problem	1
Path continuity of Markov processes and locality of Kolmogorov operators	1
Statistical null-controllability of stochastic nonlinear parabolic equations	1
Existence of strong solutions for Itô’s stochastic equations via approximations: revisited	1
Absolute continuity of the solution to stochastic generalized Burgers–Huxley equation	1
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations	1
Existence and uniqueness for the mild solution of the stochastic heat equation with non-Lipschitz drift on an unbounded spatial domain	1
Analysis of Chorin-type projection methods for the stochastic Stokes equations with general multiplicative noise	1
On the energy transfer to high frequencies in the damped/driven nonlinear Schrödinger equation	1
Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime	1
Wellposedness and regularity estimates for stochastic Cahn–Hilliard equation with unbounded noise diffusion	1
Wong–Zakai approximation and support theorem for semilinear stochastic partial differential equations with finite dimensional noise in the whole space	1
Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation	1
Discrete approximation of the viscous HJ equation	1
Non-uniqueness in law of three-dimensional Navier–Stokes equations diffused via a fractional Laplacian with power less than one half	1
A maximal $$L_p$$-regularity theory to initial value problems with time measurable nonlocal operators generated by additive processes	1
Analysis of fully discrete mixed finite element scheme for stochastic Navier–Stokes equations with multiplicative noise	1

Subordinated Gaussian random fields in elliptic partial differential equations	1
The cutoff phenomenon for the stochastic heat and wave equation subject to small Lévy noise	1
Strong Feller semigroups and Markov processes: a counterexample	1
Hypocoercivity for non-linear infinite-dimensional degenerate stochastic differential equations	1
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation	1
Degenerate Kolmogorov equations and ergodicity for the stochastic Allen–Cahn equation with logarithmic potential	1
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise	1
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM	1
Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications	1
Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity	1
Correction to: Convergent numerical approximation of the stochastic total variation flow	1
Inviscid limit for stochastic second-grade fluid equations	1
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics	1
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2	1
Sticky nonlinear SDEs and convergence of McKean–Vlasov equations without confinement	1
Statistical solutions for the Navier–Stokes–Fourier system	1
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation	1
Large deviations principle for the invariant measures of the 2D stochastic Navier–Stokes equations with vanishing noise correlation	1
A K-rough path above the space-time fractional Brownian motion	1
The strong trace property and the Neumann problem for stochastic conservation laws	1
Feynman–Kac formula for perturbations of order $$\le 1$$, and noncommutative geometry	1
A numerical method for a nonlocal diffusion equation with additive noise	1
Invariant measures for multidimensional fractional stochastic volatility models	1
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors	1
Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat	1
A regularity theory for stochastic partial differential equations driven by multiplicative space-time white noise with the random fractional Laplacians	1