Stationary stochastic Navier–Stokes on the plane at and above criticality G. CannizzaroJ. Kiedrowski OriginalPaper Open access 11 January 2023 Pages: 247 - 280
Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two Ran Tao OriginalPaper 23 December 2022 Pages: 220 - 246
Stochastic evolution equations with Lévy noise in the dual of a nuclear space C. A. Fonseca-Mora OriginalPaper 22 November 2022 Pages: 173 - 219
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces Doyoon KimKyeong-Hun KimKwan Woo OriginalPaper 18 November 2022 Pages: 134 - 172
The stochastic primitive equations with transport noise and turbulent pressure Antonio AgrestiMatthias HieberMartin Saal OriginalPaper Open access 27 October 2022 Pages: 53 - 133
Matching upper and lower moment bounds for a large class of stochastic PDEs driven by general space-time Gaussian noises Yaozhong HuXiong Wang OriginalPaper 21 October 2022 Pages: 1 - 52
A derivative-free Milstein type approximation method for SPDEs covering the non-commutative noise case Claudine von HallernAndreas Rößler OriginalPaper Open access 04 October 2022 Pages: 1672 - 1731
Correction to: Doubly nonlinear stochastic evolution equations II Luca ScarpaUlisse Stefanelli Correction 27 September 2022 Pages: 1740 - 1743
Wellposedness and regularity estimates for stochastic Cahn–Hilliard equation with unbounded noise diffusion Jianbo CuiJialin Hong OriginalPaper 15 September 2022 Pages: 1635 - 1671
Numerical approximation of nonlinear SPDE’s Martin OndrejátAndreas ProhlNoel J. Walkington OriginalPaper Open access 12 September 2022 Pages: 1553 - 1634
Existence of strong solutions for Itô’s stochastic equations via approximations: revisited I. GyöngyN. V. Krylov OriginalPaper 10 September 2022 Pages: 693 - 719
Feynman–Kac formula for perturbations of order \(\le 1\), and noncommutative geometry Sebastian BoldtBatu Güneysu OriginalPaper Open access 29 August 2022 Pages: 1519 - 1552
Total variation distance between a jump-equation and its Gaussian approximation Vlad BallyYifeng Qin OriginalPaper 24 August 2022 Pages: 1211 - 1260
Correction to: Convergent numerical approximation of the stochastic total variation flow Ĺubomír BaňasMichael RöcknerAndré Wilke Correction Open access 04 August 2022 Pages: 1732 - 1739
Conditional propagation of chaos in a spatial stochastic epidemic model with common noise Yen V. VuongMaxime HaurayÉtienne Pardoux OriginalPaper 27 July 2022 Pages: 1180 - 1210
Positive recurrence of a solution of an SDE with variable switching intensities Alexander Veretennikov OriginalPaper 09 July 2022 Pages: 1165 - 1179
Local martingale solutions and pathwise uniqueness for the three-dimensional stochastic inviscid primitive equations Ruimeng HuQuyuan Lin OriginalPaper Open access 04 July 2022 Pages: 1470 - 1518
A numerical method for a nonlocal diffusion equation with additive noise Georgi S. MedvedevGideon Simpson OriginalPaper 02 July 2022 Pages: 1433 - 1469
Estimates in \(L_{p}\) for solutions of SPDEs with coefficients in Morrey classes N. V. Krylov OriginalPaper 01 July 2022 Pages: 1416 - 1432
A stochastic thermalization of the Discrete Nonlinear Schrödinger Equation Amirali HannaniStefano Olla OriginalPaper 24 June 2022 Pages: 1379 - 1415
Invariant measures for multidimensional fractional stochastic volatility models Balázs GerencsérMiklós Rásonyi OriginalPaper Open access 20 June 2022 Pages: 1132 - 1164
Existence of martingale solutions for stochastic flocking models with local alignment Arnaud DebusscheAngelo Rosello OriginalPaper 17 June 2022 Pages: 1082 - 1131
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations Dan CrisanAlexander LobbeSalvador Ortiz-Latorre OriginalPaper Open access 09 June 2022 Pages: 1050 - 1081
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields Nicolas Clozeau OriginalPaper Open access 24 May 2022 Pages: 1254 - 1378
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics Le ChenNicholas Eisenberg OriginalPaper 20 May 2022 Pages: 1203 - 1253
The cutoff phenomenon for the stochastic heat and wave equation subject to small Lévy noise Gerardo BarreraMichael A. HögeleJuan Carlos Pardo OriginalPaper Open access 16 May 2022 Pages: 1164 - 1202
Strong \(L^2\) convergence of time Euler schemes for stochastic 3D Brinkman–Forchheimer–Navier–Stokes equations Hakima BessaihAnnie Millet OriginalPaper 10 May 2022 Pages: 1005 - 1049
A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise Beom-Seok Han OriginalPaper 05 May 2022 Pages: 1123 - 1163
Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in \(d\le 3\) Yueh-Sheng HsuCyril Labbé OriginalPaper 28 April 2022 Pages: 1089 - 1122
Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations Sebastian BeckerBenjamin GessPeter E. Kloeden OriginalPaper Open access 27 April 2022 Pages: 211 - 268
Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise K. FahimE. HausenblasM. Kovács OriginalPaper Open access 26 April 2022 Pages: 1044 - 1088
\(L^2\)-theory for transition semigroups associated to dissipative systems D. A. Bignamini OriginalPaper 23 April 2022 Pages: 988 - 1043
Paracontrolled calculus for quasilinear singular PDEs I. BailleulA. Mouzard OriginalPaper 16 April 2022 Pages: 599 - 650
From additive to transport noise in 2D fluid dynamics Franco FlandoliUmberto Pappalettera OriginalPaper Open access 15 April 2022 Pages: 964 - 1004
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise Tadahiro OhYuzhao WangYounes Zine OriginalPaper Open access 13 April 2022 Pages: 898 - 963
Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity N. TzvetkovN. Visciglia OriginalPaper Open access 09 April 2022 Pages: 948 - 987
Exact targeting of gibbs distributions using velocity-jump processes Pierre MonmarchéMathias RoussetPierre-André Zitt OriginalPaper 30 March 2022 Pages: 908 - 947
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations Michael RöcknerLongjie XieLi Yang OriginalPaper 25 March 2022 Pages: 869 - 907
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds Qing-Qian ChenLi-Juan ChengAnton Thalmaier OriginalPaper Open access 23 March 2022 Pages: 685 - 713
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation Giuseppe GenoveseRenato LucàNikolay Tzvetkov OriginalPaper Open access 20 March 2022 Pages: 651 - 684
Subordinated Gaussian random fields in elliptic partial differential equations Robin MerkleAndrea Barth OriginalPaper Open access 18 March 2022 Pages: 819 - 867
The stochastic Fisher-KPP Equation with seed bank and on/off branching coalescing Brownian motion Jochen BlathMatthias HammerFlorian Nie OriginalPaper Open access 14 March 2022 Pages: 773 - 818
A stochastic model of chemorepulsion with additive noise and nonlinear sensitivity Ilya ChevyrevBen HamblyAvi Mayorcas OriginalPaper Open access 13 March 2022 Pages: 730 - 772
Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs Tadahisa FunakiBin Xie OriginalPaper 06 March 2022 Pages: 858 - 897
Regularisation by regular noise Máté Gerencsér OriginalPaper Open access 04 March 2022 Pages: 714 - 729
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds Zdzisław BrzeźniakFabian HornungLutz Weis OriginalPaper Open access 02 March 2022 Pages: 828 - 857
Local times for systems of non-linear stochastic heat equations Brahim BoufoussiYassine Nachit OriginalPaper 08 February 2022 Pages: 388 - 425
Moderate deviations for systems of slow–fast stochastic reaction–diffusion equations Ioannis GasteratosMichael SalinsKonstantinos Spiliopoulos OriginalPaper 31 January 2022 Pages: 503 - 598
Well-posedness for a stochastic 2D Euler equation with transport noise Oana LangDan Crisan OriginalPaper Open access 29 January 2022 Pages: 433 - 480