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 2021-11-01 to 2025-11-01.)

Article	Citations
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps	18
Inviscid limit for stochastic second-grade fluid equations	17
Corrigendum to: Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions (Stoch PDE: Anal Comp 12, 1699-1744 (2024))	9
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics	9
A mild Girsanov formula	8
Regularity theory for a new class of fractional parabolic stochastic evolution equations	8
Stationary solutions for the nonlinear Schrödinger equation	8
A central limit theorem for nonlinear conservative SPDEs	8
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields	7
Higher order homogenization for random non-autonomous parabolic operators	7
Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians	7
Scaling limits of stochastic transport equations on manifolds	7
Well-posedness for a stochastic 2D Euler equation with transport noise	6
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces	5
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds	5
From additive to transport noise in 2D fluid dynamics	5
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors	4
Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises	4
Rate of convergence of a semi-implicit time euler scheme for a 2D bénard–boussinesq model	4
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations	4
Optimal convergence order for multi-scale stochastic Burgers equation	4
Transport noise restores uniqueness and prevents blow-up in geometric transport equations	4
Singular SPDEs with the Cauchy-Riemann operator on a torus	4
On a finite-volume approximation of a diffusion-convection equation with a multiplicative stochastic force	4
Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization	4

Strong Feller semigroups and Markov processes: a counterexample	4
Global dissipative martingale solutions to the variational wave equation with stochastic forcing	3
A linear stochastic biharmonic heat equation: hitting probabilities	3
Statistical solutions for the Navier–Stokes–Fourier system	3
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations	3
Pathwise uniqueness for singular stochastic Volterra equations with Hölder coefficients	3
Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle	3
Preface	3
Once again on evolution equations with monotone operators in Hilbert spaces and applications	3
Numerical approximation of nonlinear SPDE’s	3
A counterexample to the strong Skorokhod representation theorem	3
From stochastic Zakharov system to multiplicative stochastic nonlinear Schrödinger equation	3
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation	3
Solutions to the stochastic thin-film equation for the range of mobility exponents $$n\in (2,3)$$	3
$$L^2$$-theory for transition semigroups associated to dissipative systems	3
Temporal fractal nature of linearized Kuramoto–Sivashinsky SPDEs and their gradient in one-to-three dimensions	3
Analytically weak solutions to stochastic heat equations with spatially rough noise	3
Stochastic PDE approach to fluctuating interfaces	2
Analysis and computations of a stochastic Cahn–Hilliard model for tumor growth with chemotaxis and variable mobility	2
LDP and CLT for SPDEs with transport noise	2
Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models	2
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation	2
On partially observed jump diffusions III: regularity of the filtering density	2
The stochastic scalar auxiliary variable approach for stochastic nonlinear Klein–Gordon equation	2
Lecture notes on Malliavin calculus in regularity structures	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
Exact targeting of gibbs distributions using velocity-jump processes	2
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise	2
Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs	2
Estimation of anisotropic viscosities for the stochastic primitive equations	2
Multidimensional stable driven McKean–Vlasov SDEs with distributional interaction kernel: a regularization by noise perspective	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
Asymptotic stability of evolution systems of probability measures of stochastic discrete modified Swift–Hohenberg equations	2
On partially observed jump diffusions II: the filtering density	1
2D vorticity Euler equations: Superposition solutions and nonlinear Markov processes	1
Absolute continuity of the solution to stochastic generalized Burgers–Huxley equation	1
Lower bound on spatial asymptotic of parabolic anderson model with narrow wedge initial condition	1
Sticky nonlinear SDEs and convergence of McKean–Vlasov equations without confinement	1
Strong solutions to degenerate SDEs and uniqueness for degenerate Fokker–Planck equations	1
Path continuity of Markov processes and locality of Kolmogorov operators	1
Positive recurrence of a solution of an SDE with variable switching intensities	1
A branching particle system approximation for solving partially observed stochastic optimal control problems via stochastic maximum principle	1
Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity	1
Counterexamples to regularities for the derivative processes associated to stochastic evolution equations	1
Renormalization of random models: a review	1
$$L_p$$-solvability and Hölder regularity for stochastic time fractional Burgers’ equations driven by multiplicative space-time white noise	1
A SIR epidemic model on a refining spatial grid II-central limit theorem	1
Degenerate Kolmogorov equations and ergodicity for the stochastic Allen–Cahn equation with logarithmic potential	1

Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime	1
Non-Gaussianity of invariant measures to SPDEs in Da Prato–Debussche regime	1
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds	1
Subordinated Gaussian random fields in elliptic partial differential equations	1
Statistical analysis of discretely sampled semilinear SPDEs: a power variation approach	1
Kolmogorov 4/5 law for the forced 3D Navier–Stokes equations	1
Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation	1
A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise	1
Invariant measures for multidimensional fractional stochastic volatility models	1
A weighted $$L_q(L_p)$$-theory for fully degenerate second-order evolution equations with unbounded time-measurable coefficients	1
Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds	1
Correction to: Doubly nonlinear stochastic evolution equations II	1
Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations	1
Differentiability of the effective Lagrangian for Hamilton–Jacobi–Bellman equations in dynamic random environments	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
Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in $$d\le 3$$	1
A stochastic reconstruction theorem on rectangular increments with an application to a mixed hyperbolic SPDE	1
Total variation distance between a jump-equation and its Gaussian approximation	1
Nonexplosion for a large class of superlinear stochastic parabolic equations, in arbitrary spatial dimension	1
On ergodic properties of stochastic PDEs	1