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 2021-02-01 to 2025-02-01.)

Article	Citations
A stochastic model of chemorepulsion with additive noise and nonlinear sensitivity	13
The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications	13
Backward and forward filtering under the weak Hörmander condition	9
A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations	7
BPHZ renormalisation and vanishing subcriticality asymptotics of the fractional $$\Phi ^3_d$$ model	6
A stochastic thermalization of the Discrete Nonlinear Schrödinger Equation	5
Phase transitions in asymptotically singular anderson hamiltonian and parabolic model	5
A derivative-free Milstein type approximation method for SPDEs covering the non-commutative noise case	5
Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation	5
Inviscid limit for stochastic second-grade fluid equations	5
Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes	5
Statistical analysis of discretely sampled semilinear SPDEs: a power variation approach	5
Non-uniqueness in law of three-dimensional Navier–Stokes equations diffused via a fractional Laplacian with power less than one half	4
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise	4
Pathwise uniqueness for singular stochastic Volterra equations with Hölder coefficients	4
Cylindrical martingale-valued measures, stochastic integration and SPDEs	4
Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models	3
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics	3
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds	3
Correction to: Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean-Vlasov SDEs	3
Central limit theorems for stochastic wave equations in dimensions one and two	3
Global well-posedness and long-time behavior of the fractional NLS	3
Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes	3
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps	3
LDP and CLT for SPDEs with transport noise	3

Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat	3
Global existence for the stochastic Navier–Stokes equations with small $$L^{p}$$ data	3
Approximation of SDE solutions using local asymptotic expansions	3
Correction to: Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions	3
The stochastic Fisher-KPP Equation with seed bank and on/off branching coalescing Brownian motion	3
Intrusive and non-intrusive chaos approximation for a two-dimensional steady state Navier–Stokes system with random forcing	3
Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications	3
Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity	3
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields	2
Norm inflation for a non-linear heat equation with gaussian initial conditions	2
Stochastic resonance in stochastic PDEs	2
Weak error analysis for a nonlinear SPDE approximation of the Dean–Kawasaki equation	2
Strong solutions of semilinear SPDEs with unbounded diffusion	2
Hitting properties of generalized fractional kinetic equation with time-fractional noise	2
Wellposedness and regularity estimates for stochastic Cahn–Hilliard equation with unbounded noise diffusion	2
Existence of martingale solutions for stochastic flocking models with local alignment	2
A spatial stochastic epidemic model: law of large numbers and central limit theorem	2
Higher order homogenization for random non-autonomous parabolic operators	2
Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians	2
Anisotropic Gaussian random fields: criteria for hitting probabilities and applications	2
A regularity theory for stochastic partial differential equations driven by multiplicative space-time white noise with the random fractional Laplacians	2
Positive recurrence of a solution of an SDE with variable switching intensities	2
Regularity theory for a new class of fractional parabolic stochastic evolution equations	2
Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime	2
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions	2
Multidimensional stable driven McKean–Vlasov SDEs with distributional interaction kernel: a regularization by noise perspective	2
Well-posedness for a stochastic 2D Euler equation with transport noise	2
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces	1
Lower bound on spatial asymptotic of parabolic anderson model with narrow wedge initial condition	1
Asymptotic stability of evolution systems of probability measures of stochastic discrete modified Swift–Hohenberg equations	1
A support theorem for parabolic stochastic PDEs with nondegenerate Hölder diffusion coefficients	1
Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization	1
Path continuity of Markov processes and locality of Kolmogorov operators	1
Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients	1
Stochastic evolution equations with Lévy noise in the dual of a nuclear space	1
A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise	1
An additive-noise approximation to Keller–Segel–Dean–Kawasaki dynamics: local well-posedness of paracontrolled solutions	1
On partially observed jump diffusions III: regularity of the filtering density	1
Quantitative normal approximations for the stochastic fractional heat equation	1
Conditional propagation of chaos in a spatial stochastic epidemic model with common noise	1
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation	1
On the wellposedness of periodic nonlinear Schrödinger equations with white noise dispersion	1
Correction to: Convergent numerical approximation of the stochastic total variation flow	1
Exact targeting of gibbs distributions using velocity-jump processes	1
Invariant measures for multidimensional fractional stochastic volatility models	1
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations	1
Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises	1
Subordinated Gaussian random fields in elliptic partial differential equations	1
On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients	1
Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs	1

Analysis of Chorin-type projection methods for the stochastic Stokes equations with general multiplicative noise	1
Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions	1
Existence of strong solutions for Itô’s stochastic equations via approximations: revisited	1
Weak error analysis for the stochastic Allen–Cahn equation	1
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM	1
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise	1
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds	1
From additive to transport noise in 2D fluid dynamics	1
Space-time Euler discretization schemes for the stochastic 2D Navier–Stokes equations	1
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors	1
Correction to: Doubly nonlinear stochastic evolution equations II	1
Strong Feller semigroups and Markov processes: a counterexample	1
Local times for systems of non-linear stochastic heat equations	1
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation	1
Sticky nonlinear SDEs and convergence of McKean–Vlasov equations without confinement	1
Optimal convergence order for multi-scale stochastic Burgers equation	1
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations	1
Feynman–Kac formula for perturbations of order $$\le 1$$, and noncommutative geometry	1