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 2021-08-01 to 2025-08-01.)

Article	Citations
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps	17
Inviscid limit for stochastic second-grade fluid equations	15
Corrigendum to: Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions (Stoch PDE: Anal Comp 12, 1699-1744 (2024))	14
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics	9
Scaling limits of stochastic transport equations on manifolds	8
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields	7
Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians	7
Well-posedness for a stochastic 2D Euler equation with transport noise	7
Higher order homogenization for random non-autonomous parabolic operators	7
From additive to transport noise in 2D fluid dynamics	7
A central limit theorem for nonlinear conservative SPDEs	6
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds	6
Regularity theory for a new class of fractional parabolic stochastic evolution equations	6
Stationary solutions for the nonlinear Schrödinger equation	6
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces	5
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors	5
Optimal convergence order for multi-scale stochastic Burgers equation	5
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations	5
Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions	5
Transport noise restores uniqueness and prevents blow-up in geometric transport equations	4
Strong Feller semigroups and Markov processes: a counterexample	4
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation	4
Rate of convergence of a semi-implicit time euler scheme for a 2D bénard–boussinesq model	4
Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization	4
Solutions to the stochastic thin-film equation for the range of mobility exponents $$n\in (2,3)$$	4

Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises	4
Preface	3
$$L^2$$-theory for transition semigroups associated to dissipative systems	3
Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle	3
A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations	3
LDP and CLT for SPDEs with transport noise	3
Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models	3
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations	3
Numerical approximation of nonlinear SPDE’s	3
Global dissipative martingale solutions to the variational wave equation with stochastic forcing	3
A counterexample to the strong Skorokhod representation theorem	3
Analytically weak solutions to stochastic heat equations with spatially rough noise	3
Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes	3
Hitting properties of generalized fractional kinetic equation with time-fractional noise	3
Temporal fractal nature of linearized Kuramoto–Sivashinsky SPDEs and their gradient in one-to-three dimensions	3
Statistical solutions for the Navier–Stokes–Fourier system	3
A linear stochastic biharmonic heat equation: hitting probabilities	3
Estimation of anisotropic viscosities for the stochastic primitive equations	3
Pathwise uniqueness for singular stochastic Volterra equations with Hölder coefficients	3
Multidimensional stable driven McKean–Vlasov SDEs with distributional interaction kernel: a regularization by noise perspective	3
Phase transitions in asymptotically singular anderson hamiltonian and parabolic model	3
Total variation distance between a jump-equation and its Gaussian approximation	2
A stochastic reconstruction theorem on rectangular increments with an application to a mixed hyperbolic SPDE	2
A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise	2
Analysis and computations of a stochastic Cahn–Hilliard model for tumor growth with chemotaxis and variable mobility	2
Space-time Euler discretization schemes for the stochastic 2D Navier–Stokes equations	2
Asymptotic stability of evolution systems of probability measures of stochastic discrete modified Swift–Hohenberg equations	2
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise	2
Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity	2
A Bismut–Elworthy inequality for a Wasserstein diffusion on the circle	2
Kolmogorov 4/5 law for the forced 3D Navier–Stokes equations	2
Central limit theorems for stochastic wave equations in dimensions one and two	2
Exact targeting of gibbs distributions using velocity-jump processes	2
On partially observed jump diffusions III: regularity of the filtering density	2
Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs	2
The strong trace property and the Neumann problem for stochastic conservation laws	2
A branching particle system approximation for solving partially observed stochastic optimal control problems via stochastic maximum principle	2
Statistical analysis of discretely sampled semilinear SPDEs: a power variation approach	2
The stochastic scalar auxiliary variable approach for stochastic nonlinear Klein–Gordon equation	2
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions	2
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations	2
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation	2
Counterexamples to regularities for the derivative processes associated to stochastic evolution equations	2
Non-Gaussianity of invariant measures to SPDEs in Da Prato–Debussche regime	1
Absolute continuity of the solution to stochastic generalized Burgers–Huxley equation	1
A weighted $$L_q(L_p)$$-theory for fully degenerate second-order evolution equations with unbounded time-measurable coefficients	1
Global solutions to the stochastic heat equation with superlinear accretive reaction term and polynomially growing multiplicative white noise coefficient	1
Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds	1
Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in $$d\le 3$$	1
Path continuity of Markov processes and locality of Kolmogorov operators	1

Invariant measures for multidimensional fractional stochastic volatility models	1
Differentiability of the effective Lagrangian for Hamilton–Jacobi–Bellman equations in dynamic random environments	1
Positive recurrence of a solution of an SDE with variable switching intensities	1
Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime	1
Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations	1
On partially observed jump diffusions II: the filtering density	1
Degenerate Kolmogorov equations and ergodicity for the stochastic Allen–Cahn equation with logarithmic potential	1
A SIR epidemic model on a refining spatial grid II-central limit theorem	1
On ergodic properties of stochastic PDEs	1
Sticky nonlinear SDEs and convergence of McKean–Vlasov equations without confinement	1
Subordinated Gaussian random fields in elliptic partial differential equations	1
Lower bound on spatial asymptotic of parabolic anderson model with narrow wedge initial condition	1
Correction to: Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions	1
Renormalization of random models: a review	1
The stochastic Fisher-KPP Equation with seed bank and on/off branching coalescing Brownian motion	1
Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise	1
A derivative-free Milstein type approximation method for SPDEs covering the non-commutative noise case	1
$$L_p$$-solvability and Hölder regularity for stochastic time fractional Burgers’ equations driven by multiplicative space-time white noise	1
Stochastic evolution equations with Lévy noise in the dual of a nuclear space	1
Correction to: Doubly nonlinear stochastic evolution equations II	1
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds	1
Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat	1