Chevyrev, Ilya Norm inflation for a non-linear heat equation with Gaussian initial conditions. (English) Zbl 07914048 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 3, 1745-1768 (2024). MSC: 35R60 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Stewart, Gavin On the wellposedness of periodic nonlinear Schrödinger equations with white noise dispersion. (English) Zbl 07914041 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 3, 1417-1438 (2024). MSC: 35R60 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hwang, Gyeongha Probabilistic radial Strichartz estimates and its application. (English) Zbl 07905782 Funkc. Ekvacioj, Ser. Int. 67, No. 2, 199-216 (2024). MSC: 35Q55 35Q41 35J10 42B37 35B65 35A01 35A02 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Yu; Nahmod, Andrea R.; Yue, Haitian The probabilistic scaling paradigm. (English) Zbl 07903084 Vietnam J. Math. 52, No. 4, 1001-1015 (2024). MSC: 35Q55 35Q41 35Q60 35Q79 35R60 15A69 15B52 37E20 60H30 60H40 35B65 35A01 35A02 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Robert, Tristan Invariant Gibbs measure for a Schrödinger equation with exponential nonlinearity. (English) Zbl 07900801 J. Funct. Anal. 287, No. 9, Article ID 110592, 78 p. (2024). MSC: 35Q41 35Q55 53C25 35B65 35A15 60F10 35A01 35A02 35R06 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barrué, Grégoire; Debussche, Arnaud; Tusseau, Maxime Approximation diffusion for the nonlinear Schrödinger equation with a random potential. (English) Zbl 07898734 Asymptotic Anal. 138, No. 3, 175-224 (2024). MSC: 35Q55 35Q41 35R60 35B20 60H40 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Panpan; Tang, Hao; Wang, Feng-Yu Distribution-path dependent nonlinear SPDEs with application to stochastic transport type equations. (English) Zbl 07896861 Potential Anal. 61, No. 2, 379-407 (2024). MSC: 60H15 35Q35 60H30 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Hausenblas, Erika; Tölle, Jonas M. The stochastic Klausmeier system and a stochastic Schauder-Tychonoff type theorem. (English) Zbl 07896855 Potential Anal. 61, No. 2, 185-246 (2024). MSC: 35R60 35K57 37N25 47H10 60H15 76S05 92C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Debussche, Arnaud; Liu, Ruoyuan; Tzvetkov, Nikolay; Visciglia, Nicola Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space. (English) Zbl 07891481 Probab. Theory Relat. Fields 189, No. 3-4, 1161-1218 (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 60H15 60H40 35A01 35A02 35R60 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Barbu, Viorel; Röckner, Michael Nonlinear Fokker-Planck equations with fractional Laplacian and McKean-Vlasov SDEs with Lévy noise. (English) Zbl 07891473 Probab. Theory Relat. Fields 189, No. 3-4, 849-878 (2024). Reviewer: Javad Asadzade (Famagusta) MSC: 60H15 35R11 60G51 47H05 47J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Dolgopolik, Maxim V.; Fradkov, Alexander L.; Andrievsky, Boris State estimation of the semilinear wave equation over the limited capacity communication channel. (English) Zbl 07889323 Nonlinear Anal., Hybrid Syst. 53, Article ID 101500, 18 p. (2024). MSC: 93E10 93C20 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Carrillo, José A.; Gómez-Castro, David Interpreting systems of continuity equations in spaces of probability measures through PDE duality. (English) Zbl 07885755 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 127, 31 p. (2024). MSC: 35Q49 35G55 35L65 35D40 35R60 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Nagoji, Hirotatsu Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises. (English) Zbl 07880259 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 2, 932-967 (2024). MSC: 60H15 35K15 35L71 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Ruoyuan Global well-posedness of the two-dimensional stochastic viscous nonlinear wave equations. (English) Zbl 07880258 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 2, 898-931 (2024). MSC: 35R60 35L20 35L71 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Barbu, Viorel; Röckner, Michael; Zhang, Deng Recent progress on multi-bubble blow-ups and multi-solitons to (stochastic) focusing nonlinear Schrödinger equations. (English) Zbl 07879427 Vietnam J. Math. 52, No. 3, 567-596 (2024). MSC: 35Q55 35Q41 35B44 35C08 35A01 35A02 60H15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ernst, P. A.; Mei, H.; Peskir, G. Quickest real-time detection of multiple Brownian drifts. (English) Zbl 1541.60028 SIAM J. Control Optim. 62, No. 3, 1832-1856 (2024). MSC: 60G40 60J65 60H30 35H10 45G10 62C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Glover, Kristoffer; Peskir, Goran Quickest detection problems for Ornstein-Uhlenbeck processes. (English) Zbl 1540.60073 Math. Oper. Res. 49, No. 2, 1045-1064 (2024). MSC: 60G40 60J60 60H30 35K57 45G10 62C10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chuchu; Dang, Tonghe; Hong, Jialin An adaptive time-stepping fully discrete scheme for stochastic NLS equation: strong convergence and numerical asymptotics. (English) Zbl 1540.60161 Stochastic Processes Appl. 173, Article ID 104373, 24 p. (2024). MSC: 60H35 35Q55 60H15 65C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Jianbo; Sun, Liying Quantifying the effect of random dispersion for logarithmic Schrödinger equation. (English) Zbl 1540.35368 SIAM/ASA J. Uncertain. Quantif. 12, 579-613 (2024). MSC: 35Q55 35R60 60H15 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yating Particle method and quantization-based schemes for the simulation of the McKean-Vlasov equation. (English) Zbl 07861964 ESAIM, Math. Model. Numer. Anal. 58, No. 2, 571-612 (2024). MSC: 60G65 60H15 60H35 65C30 65C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tchouanti, Josué Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat. (English) Zbl 1541.35292 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 1, 466-524 (2024). MSC: 35K65 35K61 35R60 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Yongming Almost sure scattering for the defocusing cubic nonlinear Schrödinger equation on \(\mathbb{R}^3 \times \mathbb{T}\). (English) Zbl 07856559 J. Funct. Anal. 287, No. 4, Article ID 110492, 33 p. (2024). MSC: 35Q55 35Q41 78A50 78A45 78A60 35A01 35A02 35B20 35R01 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grube, Sebastian Strong solutions to McKean-Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case. (English) Zbl 07854120 J. Evol. Equ. 24, No. 2, Paper No. 37, 14 p. (2024). MSC: 60H10 60G17 35C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Burq, Nicolas; Thomann, Laurent Almost sure scattering for the one dimensional nonlinear Schrödinger equation. (English) Zbl 07853547 Memoirs of the American Mathematical Society 1480. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6979-5/pbk; 978-1-4704-7817-9/ebook). vii, 87 p. (2024). Reviewer: Jiqiang Zheng (Beijing) MSC: 35-01 35Q55 35Q41 35-02 35P25 35R60 60F10 46T12 58D20 35A01 35A02 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Lu; Liu, Yang Solution method and parameter estimation of uncertain partial differential equation with application to China’s population. (English) Zbl 1540.35481 Fuzzy Optim. Decis. Mak. 23, No. 1, 155-177 (2024). MSC: 35R60 35R30 35F20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ming; Zhang, Xia; Dai, Ling Fei Trotter-Kato approximations of impulsive neutral SPDEs in Hilbert spaces. (English) Zbl 1539.60075 Acta Math. Sin., Engl. Ser. 40, No. 5, 1229-1243 (2024). MSC: 60H15 46A03 41A46 46A32 46H25 91B02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Kettani, Perla; Hilhorst, Danielle; Park, Hyunjoon Singular limit of a stochastic Allen-Cahn equation with nonlinear diffusion. (English) Zbl 1540.35023 J. Differ. Equations 400, 146-188 (2024). MSC: 35B25 35B40 35K59 35R60 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Aniţa, Ştefana-Lucia Controlling a nonlinear Fokker-Planck equation via inputs with nonlocal action. (English) Zbl 1540.35398 Appl. Math. Optim. 89, No. 3, Paper No. 68, 27 p. (2024). MSC: 35Q84 35Q83 47H06 35D30 49J20 49K20 93E20 93B52 60H10 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bringmann, Bjoern; Deng, Yu; Nahmod, Andrea R.; Yue, Haitian Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation. (English) Zbl 1541.35502 Invent. Math. 236, No. 3, 1133-1411 (2024). MSC: 35Q82 35Q55 82C31 81V45 81T08 35L72 35R09 45K05 42B37 35A01 35A02 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Zhishan; Yang, Juan Averaging principle for two time-scales stochastic partial differential equations with reflection. (English) Zbl 1537.60080 Appl. Math. Optim. 89, No. 3, Paper No. 59, 47 p. (2024). MSC: 60H15 70K70 60J60 49K40 35R60 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Qizhu; Xiong, Jie; Zhao, Xingqiu Statistical estimation and nonlinear filtering in environmental pollution. (English) Zbl 07839695 Stat. Inference Stoch. Process. 27, No. 2, 373-390 (2024). MSC: 62Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brun, Enguerrand; Li, Guopeng; Liu, Ruoyuan Global well-posedness of the energy-critical stochastic nonlinear wave equations. (English) Zbl 1537.35243 J. Differ. Equations 397, 316-348 (2024). MSC: 35L71 35L15 35R60 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morón-Vidal, Jorge; Bernal, Francisco; Spigler, Renato Iterative schemes for probabilistic domain decomposition. (English) Zbl 07837053 SIAM J. Sci. Comput. 46, No. 2, S280-S297 (2024). MSC: 65N75 65N55 65Y05 65Y10 65N15 65C05 35J05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Ascanelli, Alessia; Coriasco, Sandro; Süss, André Solution theory to semilinear stochastic equations of Schrödinger type on curved spaces. I: Operators with uniformly bounded coefficients. (English) Zbl 1537.35431 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 2, Paper No. 60, 15 p. (2024). MSC: 35R60 35Q55 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gubinelli, Massimiliano; Koch, Herbert; Oh, Tadahiro Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity. (English) Zbl 1537.35434 J. Eur. Math. Soc. (JEMS) 26, No. 3, 817-874 (2024). MSC: 35R60 35L71 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Schaeffer, Nicolas Multilinear smoothing and local well-posedness of a stochastic quadratic nonlinear Schrödinger equation. (English) Zbl 1535.60117 J. Theor. Probab. 37, No. 1, 160-208 (2024). MSC: 60H15 35Q55 60G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blaustein, Alain; Bouin, Emeric Concentration profiles in FitzHugh-Nagumo neural networks: a Hopf-Cole approach. (English) Zbl 1533.35344 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 2018-2042 (2024). MSC: 35Q92 92C20 35B40 35C20 35K57 35G20 53C35 35B44 35F21 60J65 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baccelli, F.; Foss, S.; Shneer, S. Migration-contagion processes. (English) Zbl 07807057 Adv. Appl. Probab. 56, No. 1, 71-105 (2024). MSC: 60K35 60K25 60G55 92D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galimberti, L.; Holden, H.; Karlsen, K. H.; Pang, P. H. C. Global existence of dissipative solutions to the Camassa-Holm equation with transport noise. (English) Zbl 1533.35376 J. Differ. Equations 387, 1-103 (2024). MSC: 35R60 35G25 35A01 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aniţa, Ştefana-Lucia Controlling a generalized Fokker-Planck equation via inputs with nonlocal action. (English) Zbl 1533.35335 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113476, 22 p. (2024). MSC: 35Q84 35Q83 47H06 35D30 35R09 49J20 49K20 93E20 35R60 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yong; Zhang, Shuolin; Gao, Hongjun Probabilistic global well-posedness to the nonlocal Degasperis-Procesi equation. (English) Zbl 1532.60136 Stat. Probab. Lett. 206, Article ID 110000, 9 p. (2024). MSC: 60H15 60H40 35L70 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Xiaodong; Fan, Hongxia Approximate controllability for second-order stochastic neutral evolution equations with infinite delay. (English) Zbl 1530.34061 Evol. Equ. Control Theory 13, No. 1, 140-159 (2024). MSC: 34K30 34K35 60H15 93B05 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Onuki, Yohei; Guioth, Jules; Bouchet, Freddy Dynamical large deviations for an inhomogeneous wave kinetic theory: linear wave scattering by a random medium. (English) Zbl 1537.35327 Ann. Henri Poincaré 25, No. 1, 1215-1259 (2024). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 81Q05 35Q55 35Q41 35Q20 35Q82 82C40 82B44 60F10 76N15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vaughn, Ryan; Berry, Tyrus; Antil, Harbir Diffusion maps for embedded manifolds with boundary with applications to PDEs. (English) Zbl 07796943 Appl. Comput. Harmon. Anal. 68, Article ID 101593, 29 p. (2024). MSC: 65N12 65N99 65D30 65J15 58J65 62G07 68T05 68Q32 35C20 35B40 35B32 35K05 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jornet, Marc Finite-dimensional probability distributions in the random Burgers-Riemann problem. (English) Zbl 1531.35407 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107786, 11 p. (2024). MSC: 35R60 60E05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Camps, Nicolas; Gassot, Louise; Ibrahim, Slim Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation. (English) Zbl 1532.35416 J. Differ. Equations 380, 443-490 (2024). MSC: 35Q55 35Q41 35A01 35A02 60B15 35R25 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Löbus, Jörg-Uwe Quasi-invariance under flows generated by non-linear PDEs. (English) Zbl 1530.35175 Anal. Appl., Singap. 22, No. 1, 179-277 (2024). MSC: 35Q20 76P05 60J65 60J35 60K35 35B40 35R06 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Pengyu; Wang, Renhai; Zhang, Xuping Asymptotically autonomous robustness of random attractors for 3D BBM equations driven by nonlinear colored noise. (English) Zbl 1530.35067 SIAM J. Math. Anal. 56, No. 1, 254-274 (2024). MSC: 35B41 35R60 37B55 37L55 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Röckner, Michael; Su, Yiming; Zhang, Deng Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations. (English) Zbl 1531.35296 Trans. Am. Math. Soc. 377, No. 1, 517-588 (2024). MSC: 35Q55 35B44 35B40 35C08 35B25 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Forlano, Justin; Tolomeo, Leonardo On the unique ergodicity for a class of 2 dimensional stochastic wave equations. (English) Zbl 1530.35376 Trans. Am. Math. Soc. 377, No. 1, 345-394 (2024). MSC: 35R60 35L15 35L71 37A25 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chemetov, Nikolai V.; Cipriano, Fernanda Weak solution for stochastic Degasperis-Procesi equation. (English) Zbl 1530.35374 J. Differ. Equations 382, 1-49 (2024). MSC: 35R60 35G25 35L65 60H15 60H30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Renhai; Caraballo, Tomás; Tuan, Nguyen Huy Mean attractors and invariant measures of locally monotone and generally coercive SPDEs driven by superlinear noise. (English) Zbl 1530.35070 J. Differ. Equations 381, 209-259 (2024). MSC: 35B41 35B40 35R60 37L30 × Cite Format Result Cite Review PDF Full Text: DOI
Brzeźniak, Zdzisław; Ferrario, Benedetta; Zanella, Margherita Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation. (English) Zbl 1530.35273 Nonlinearity 37, No. 1, Article ID 015001, 67 p. (2024). Reviewer: Rémi Carles (Rennes) MSC: 35Q55 35Q41 35R60 60H30 60G10 60H15 35A01 35A02 35R01 35R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Li, Wei-An; Tian, Bo Stochastic solitons in a two-layer fluid system. (English) Zbl 07855228 Chin. J. Phys., Taipei 81, 155-161 (2023). MSC: 35Q35 76B15 76B25 76T06 35C08 35B25 44A15 60H40 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xianbo; Li, Jibin Exact solutions and dynamics in Schrödinger-Hirota model having multiplicative white noise via Itô calculus. (English) Zbl 1541.35464 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 11, Article ID 2350134, 8 p. (2023). MSC: 35Q55 35Q41 35C07 35C08 35B32 35B10 60H15 60H40 37H20 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Jie; Nong, Lijuan; Yi, Qian; Chen, An Two high-order compact difference schemes with temporal graded meshes for time-fractional Black-Scholes equation. (English) Zbl 07798677 Netw. Heterog. Media 18, No. 4, 1692-1712 (2023). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 91G60 65M06 35R11 35G20 65C30 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Renhai; Nane, Erkan; Tuan, Nguyen Huy Evolution systems of probability measures for nonautonomous Klein-Gordon Itô equations on \(\mathbb{Z}^N\). (English) Zbl 1531.60044 Bull. Sci. Math. 189, Article ID 103348, 31 p. (2023). MSC: 60H15 35B40 35B41 37L30 × Cite Format Result Cite Review PDF Full Text: DOI
Kuznetsov, Dmitriy Feliksovich Mean-square approximation of iterated Ito and Stratonovich stochastic integrals: method of generalized multiple Fourier series. Application to numerical integration of Ito SDEs and semilinear SPDEs. 3rd edition. (English) Zbl 1528.60002 Differ. Uravn. Protsessy Upr. 2023, No. 1, 947 p. (2023). MSC: 60-02 65-02 35Q62 60H05 60H10 65C30 × Cite Format Result Cite Review PDF Full Text: Link
Criens, David; Niemann, Lars Nonlinear continuous semimartingales. (English) Zbl 07790306 Electron. J. Probab. 28, Paper No. 146, 40 p. (2023). MSC: 60G65 35D40 60G07 60G44 93E20 60H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Deng Stochastic nonlinear Schrödinger equations in the defocusing mass and energy critical cases. (English) Zbl 1538.35355 Ann. Appl. Probab. 33, No. 5, 3652-3705 (2023). MSC: 35Q55 35J10 60H15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bauzet, Caroline; Nabet, Flore; Schmitz, Kerstin; Zimmermann, Aleksandra Finite volume approximations for non-linear parabolic problems with stochastic forcing. (English) Zbl 1529.65026 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 157-166 (2023). MSC: 65M08 65M06 65N08 35K55 35A15 35R09 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Gao, Peng Stratonovich-Khasminskii averaging principle for multiscale random Korteweg-de Vries-Burgers equation. (English) Zbl 1529.35586 Nonlinearity 36, No. 11, 6124-6151 (2023). MSC: 35R60 35Q53 70K65 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xinfei; Yang, Xiaoyuan Conforming finite element method for the time-fractional nonlinear stochastic fourth-order reaction diffusion equation. (English) Zbl 1535.65200 Numer. Methods Partial Differ. Equations 39, No. 5, 3657-3676 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 33E12 60J65 60G55 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Mingzhan; Song, Songhe; Zhang, Wei; You, Jingwei; Qian, Xu Conformal structure-preserving schemes for damped-driven stochastic nonlinear Schrödinger equation with multiplicative noise. (English) Zbl 07776980 Numer. Methods Partial Differ. Equations 39, No. 2, 1706-1728 (2023). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Medvedev, Georgi S.; Simpson, Gideon A numerical method for a nonlocal diffusion equation with additive noise. (English) Zbl 1527.65006 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 4, 1433-1469 (2023). MSC: 65C30 60H15 60H35 34C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Long Le Dinh; Duc Phuong Nguyen; Ragusa, Maria Alessandra On a non-local Sobolev-Galpern-type equation associated with random noise. (English) Zbl 1527.35515 Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 202, 28 p. (2023). MSC: 35R60 35K05 47J06 47H10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Marsden, Katie Almost sure scattering of the energy-critical NLS in \(d > 6\). (English) Zbl 1527.35516 Commun. Pure Appl. Anal. 22, No. 10, 3165-3199 (2023). MSC: 35R60 35Q55 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beck, Christian; Becker, Sebastian; Cheridito, Patrick; Jentzen, Arnulf; Neufeld, Ariel An efficient Monte Carlo scheme for Zakai equations. (English) Zbl 1529.93103 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107438, 27 p. (2023). MSC: 93E11 93C20 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Garrido, Miguel Angel; Grande, Ricardo; Kurianski, Kristin M.; Staffilani, Gigliola Large deviations principle for the cubic NLS equation. (English) Zbl 1527.35378 Commun. Pure Appl. Math. 76, No. 12, 4087-4136 (2023). MSC: 35Q55 35Q41 76U60 86A05 49K40 60F10 35A01 35A02 35Q35 35Q86 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Liao, Kaifang; Zhang, Lei; Wei, Ting Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation. (English) Zbl 1527.65086 J. Inverse Ill-Posed Probl. 31, No. 5, 631-652 (2023). MSC: 65M32 65M30 65K10 65J20 33E12 26A33 35R11 35A01 35A02 15A69 74D10 35R30 35R25 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Chenjie; Xu, Weijun; Zhao, Zehua Long time behavior of stochastic NLS with a small multiplicative noise. (English) Zbl 1528.35158 Commun. Math. Phys. 404, No. 1, 563-595 (2023). MSC: 35Q55 35Q41 35R60 60H40 35P25 35B20 35B35 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dymov, Andrey; Kuksin, Sergei; Maiocchi, Alberto; Vlăduţ, Sergei The large-period limit for equations of discrete turbulence. (English) Zbl 1529.35464 Ann. Henri Poincaré 24, No. 11, 3685-3739 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35Q41 76F02 76M35 60G15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Congy, T.; El, G. A.; Roberti, G.; Tovbis, A. Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation. (English) Zbl 1527.35347 J. Nonlinear Sci. 33, No. 6, Paper No. 104, 45 p. (2023). MSC: 35Q53 35Q35 35C08 35R09 37K10 37K15 37K35 37K40 35L60 76L05 76P05 82C40 82D05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Han, Beom-Seok A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise. (English) Zbl 1522.60056 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 3, 1123-1163 (2023). MSC: 60H15 35R60 60H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rudnicki, Ryszard Ergodic properties of a semilinear partial differential equation. (English) Zbl 1527.37085 J. Differ. Equations 372, 235-253 (2023). MSC: 37L40 37L55 35F25 60G60 60G65 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Arruda, Lynnyngs K.; Chemetov, Nikolai V.; Cipriano, Fernanda Solvability of the stochastic Degasperis-Procesi equation. (English) Zbl 1527.35511 J. Dyn. Differ. Equations 35, No. 1, 523-542 (2023). MSC: 35R60 35G25 35G50 35Q53 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Gillis, Edward J. Wave function collapse equation maintains conservation laws with no new constants. (English) Zbl 1531.81247 J. Phys. A, Math. Theor. 56, No. 35, Article ID 355303, 22 p. (2023). MSC: 81U90 33E15 81P15 35R60 22E70 81P40 81R30 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wichmann, Jörn On temporal regularity of strong solutions to stochastic \(p\)-Laplace systems. (English) Zbl 1522.35131 SIAM J. Math. Anal. 55, No. 4, 3713-3730 (2023). MSC: 35B65 35D35 35K20 35K58 35K65 35R60 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Zeju; Yau, Stephen Shing-Toung Solving nonlinear filtering problems with correlated noise based on Hermite-Galerkin spectral method. (English) Zbl 1520.93576 Automatica 156, Article ID 111176, 14 p. (2023). MSC: 93E11 93C20 60H15 65M60 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Jiayi; Salmon, Andrew; Yau, Stephen S.-T. Log-concave posterior densities arising in continuous filtering and a maximum a posteriori algorithm. (English) Zbl 1520.93568 SIAM J. Control Optim. 61, No. 4, 2407-2424 (2023). MSC: 93E11 93C20 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Röckner, Michael; Xie, Longjie; Yang, Li Asymptotic behavior of multiscale stochastic partial differential equations with Hölder coefficients. (English) Zbl 1521.60031 J. Funct. Anal. 285, No. 9, Article ID 110103, 50 p. (2023). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60H15 70K65 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Jianbo; Sun, Liying Stochastic logarithmic Schrödinger equations: energy regularized approach. (English) Zbl 1519.35288 SIAM J. Math. Anal. 55, No. 4, 3044-3080 (2023). MSC: 35Q55 35Q41 35B65 35A01 35A02 47J05 81Q05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castro, Javier The Kolmogorov infinite dimensional equation in a Hilbert space via deep learning methods. (English) Zbl 07723298 J. Math. Anal. Appl. 527, No. 2, Article ID 127413, 40 p. (2023). MSC: 68Qxx 68Txx 60H15 60H35 65M75 60H30 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grube, Sebastian Strong solutions to McKean-Vlasov SDEs with coefficients of Nemytskii-type. (English) Zbl 1517.60062 Electron. Commun. Probab. 28, Paper No. 11, 13 p. (2023). MSC: 60H10 60G17 35C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jiangwei; Liu, Zhiming; Huang, Jianhua Weak mean random attractors for nonautonomous stochastic parabolic equation with variable exponents. (English) Zbl 1518.35137 Stoch. Dyn. 23, No. 3, Article ID 2350019, 20 p. (2023). MSC: 35B41 35K20 35K92 35R60 37B55 × Cite Format Result Cite Review PDF Full Text: DOI
Caraballo, Tomás; Chen, Zhang; Yang, Dandan G-mean random attractors for complex Ginzburg-Landau equations with probability-uncertain initial data. (English) Zbl 1527.35398 Commun. Math. Sci. 21, No. 3, 709-730 (2023). MSC: 35Q56 35R60 60H15 35B41 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Eslahchi, M. R.; Esmaili, Sakine A game-theoretic perspective to study a nonlinear stochastic parabolic model of population competition. (English) Zbl 1520.91007 Optimization 72, No. 7, 1777-1815 (2023). MSC: 91A05 91A10 91A12 35K55 35R60 35Q91 × Cite Format Result Cite Review PDF Full Text: DOI
Miao, Zhi-Qiang; Zheng, Guang-Hui On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement. II: The non-radial case. (English) Zbl 1527.65087 J. Inverse Ill-Posed Probl. 31, No. 3, 337-350 (2023). MSC: 65M32 65N06 65K10 81U40 35Q55 33C10 35A02 35J05 35J15 35R30 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berg, André; Cohen, David; Dujardin, Guillaume Approximated exponential integrators for the stochastic Manakov equation. (English) Zbl 1515.65022 J. Comput. Dyn. 10, No. 2, 323-344 (2023). MSC: 65C30 35Q55 60-08 60H15 60H35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hwang, Gyeongha; Yoon, Haewon Probabilistic local wellposedness of 1D quintic NLS below \(L^2(\mathbb{R})\). (English) Zbl 1530.35282 J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127195, 21 p. (2023). MSC: 35Q55 35B65 35A01 35A02 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Liying; Zhao, Tengfei Random data final-state problem of fourth-order inhomogeneous NLS. (English) Zbl 1517.35213 J. Differ. Equations 369, 353-382 (2023). MSC: 35Q55 35Q41 35P25 35G20 35A01 35A02 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jian; Zhai, Jianliang; Zhu, Jiahui The stochastic nonlinear Schrödinger equations driven by pure jump noise. (English) Zbl 1518.60061 Stat. Probab. Lett. 197, Article ID 109810, 6 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 60H15 60J76 35B65 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbu, Viorel Exact controllability of Fokker-Planck equations and McKean-Vlasov SDEs. (English) Zbl 1517.49020 SIAM J. Control Optim. 61, No. 3, 1805-1818 (2023). MSC: 49N35 60H15 47H05 47J05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xinfei; Yang, Xiaoyuan Numerical approximation of the stochastic equation driven by the fractional noise. (English) Zbl 07702347 Appl. Math. Comput. 452, Article ID 128053, 16 p. (2023). MSC: 65M60 35R11 65C30 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Li; Li, Yujing; Zhu, Quanxin Stability analysis for a class of stochastic delay nonlinear systems driven by G-Lévy process. (English) Zbl 1521.60029 Stat. Probab. Lett. 195, Article ID 109777, 11 p. (2023). Reviewer: Maria Gordina (Storrs) MSC: 60H15 35R60 60G65 × Cite Format Result Cite Review PDF Full Text: DOI
Oh, Tadahiro; Robert, Tristan; Tzvetkov, Nikolay Stochastic nonlinear wave dynamics on compact surfaces. (Sur l’équation des ondes non-linéaire stochastique sur les surfaces compactes.) (English. French summary) Zbl 1523.35224 Ann. Henri Lebesgue 6, 161-223 (2023). MSC: 35L71 35L15 35R01 35R60 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C. Global well-posedness of the viscous Camassa-Holm equation with gradient noise. (English) Zbl 1515.35376 Discrete Contin. Dyn. Syst. 43, No. 2, 568-618 (2023). Reviewer: Long Wei (Hangzhou) MSC: 35R60 35G25 60H15 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbu, Viorel; Röckner, Michael Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: the degenerate case. (English) Zbl 1514.60071 J. Funct. Anal. 285, No. 4, Article ID 109980, 37 p. (2023). MSC: 60H15 47H05 47J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Yangyang; Gao, Hongjun Homogenization for stochastic Ginzburg-Landau equation on the half-line with fast boundary fluctuation. (English) Zbl 1537.60084 J. Math. Anal. Appl. 525, No. 2, Article ID 127198, 22 p. (2023). Reviewer: Lucio Galeati (Lausanne) MSC: 60H15 35R60 35Q55 37N10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Qiang; Wu, Xu Existence and asymptotic behavior of square-mean \(S\)-asymptotically periodic solutions for fractional stochastic evolution equation with delay. (English) Zbl 1511.60097 Fract. Calc. Appl. Anal. 26, No. 2, 718-750 (2023). MSC: 60H15 47D06 34G20 46T20 × Cite Format Result Cite Review PDF Full Text: DOI