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 2021-05-01 to 2025-05-01.)

Article	Citations
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps	15
Inviscid limit for stochastic second-grade fluid equations	14
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics	14
Stationary solutions for the nonlinear Schrödinger equation	9
Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians	7
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields	6
Global existence for the stochastic Navier–Stokes equations with small $$L^{p}$$ data	6
Well-posedness for a stochastic 2D Euler equation with transport noise	6
Higher order homogenization for random non-autonomous parabolic operators	6
From additive to transport noise in 2D fluid dynamics	6
Regularity theory for a new class of fractional parabolic stochastic evolution equations	5
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces	5
A central limit theorem for nonlinear conservative SPDEs	5
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations	5
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds	5
Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients	4
Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions	4
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation	4
Optimal convergence order for multi-scale stochastic Burgers equation	4
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors	4
Rate of convergence of a semi-implicit time euler scheme for a 2D bénard–boussinesq model	3
Global dissipative martingale solutions to the variational wave equation with stochastic forcing	3
Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises	3
Statistical null-controllability of stochastic nonlinear parabolic equations	3
Mixing for the primitive equations under bounded non-degenerate noise	3

A linear stochastic biharmonic heat equation: hitting probabilities	3
Strong Feller semigroups and Markov processes: a counterexample	3
Transport noise restores uniqueness and prevents blow-up in geometric transport equations	3
Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle	3
Lewy–Stampacchia’s inequality for a stochastic T-monotone obstacle problem	3
Statistical solutions for the Navier–Stokes–Fourier system	3
Preface	3
Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization	3
Numerical approximation of nonlinear SPDE’s	3
Temporal fractal nature of linearized Kuramoto–Sivashinsky SPDEs and their gradient in one-to-three dimensions	3
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations	3
$$L^2$$-theory for transition semigroups associated to dissipative systems	3
Phase transitions in asymptotically singular anderson hamiltonian and parabolic model	2
Exact targeting of gibbs distributions using velocity-jump processes	2
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise	2
Central limit theorems for stochastic wave equations in dimensions one and two	2
LDP and CLT for SPDEs with transport noise	2
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions	2
Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models	2
Space-time Euler discretization schemes for the stochastic 2D Navier–Stokes equations	2
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations	2
On partially observed jump diffusions III: regularity of the filtering density	2
A counterexample to the strong Skorokhod representation theorem	2
Pathwise uniqueness for singular stochastic Volterra equations with Hölder coefficients	2
Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes	2
Hitting properties of generalized fractional kinetic equation with time-fractional noise	2
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation	2
Asymptotic stability of evolution systems of probability measures of stochastic discrete modified Swift–Hohenberg equations	2
A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise	2
A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations	2
Analysis and computations of a stochastic Cahn–Hilliard model for tumor growth with chemotaxis and variable mobility	2
Multidimensional stable driven McKean–Vlasov SDEs with distributional interaction kernel: a regularization by noise perspective	2
Counterexamples to regularities for the derivative processes associated to stochastic evolution equations	1
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds	1
$$L_p$$-solvability and Hölder regularity for stochastic time fractional Burgers’ equations driven by multiplicative space-time white noise	1
Positive recurrence of a solution of an SDE with variable switching intensities	1
Global well-posedness and long-time behavior of the fractional NLS	1
Correction to: Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions	1
The stochastic Fisher-KPP Equation with seed bank and on/off branching coalescing Brownian motion	1
A weighted $$L_q(L_p)$$-theory for fully degenerate second-order evolution equations with unbounded time-measurable coefficients	1
On partially observed jump diffusions II: the filtering density	1
Absolute continuity of the solution to stochastic generalized Burgers–Huxley equation	1
Global solutions to the stochastic heat equation with superlinear accretive reaction term and polynomially growing multiplicative white noise coefficient	1
A branching particle system approximation for solving partially observed stochastic optimal control problems via stochastic maximum principle	1
Total variation distance between a jump-equation and its Gaussian approximation	1
Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs	1
Correction to: Doubly nonlinear stochastic evolution equations II	1
Stochastic evolution equations with Lévy noise in the dual of a nuclear space	1
Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat	1
Sticky nonlinear SDEs and convergence of McKean–Vlasov equations without confinement	1

Lower bound on spatial asymptotic of parabolic anderson model with narrow wedge initial condition	1
Strong solutions of semilinear SPDEs with unbounded diffusion	1
Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes	1
Non-uniqueness in law of three-dimensional Navier–Stokes equations diffused via a fractional Laplacian with power less than one half	1
Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds	1
Degenerate Kolmogorov equations and ergodicity for the stochastic Allen–Cahn equation with logarithmic potential	1
The stochastic tamed MHD equations: existence, uniqueness and invariant measures	1
The strong trace property and the Neumann problem for stochastic conservation laws	1
Path continuity of Markov processes and locality of Kolmogorov operators	1
Invariant measures for multidimensional fractional stochastic volatility models	1
Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations	1
Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime	1
Existence of martingale solutions for stochastic flocking models with local alignment	1
Subordinated Gaussian random fields in elliptic partial differential equations	1
Cylindrical martingale-valued measures, stochastic integration and SPDEs	1
A derivative-free Milstein type approximation method for SPDEs covering the non-commutative noise case	1
Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise	1
Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in $$d\le 3$$	1
A SIR epidemic model on a refining spatial grid II-central limit theorem	1
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2	1
A Bismut–Elworthy inequality for a Wasserstein diffusion on the circle	1
Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity	1
Statistical analysis of discretely sampled semilinear SPDEs: a power variation approach	1