Agarwal, P.; Hyder, Abd-Allah; Zakarya, M. Well-posedness of stochastic modified Kawahara equation. (English) Zbl 1487.60119 Adv. Difference Equ. 2020, Paper No. 18, 10 p. (2020). MSC: 60H15 35R60 35E15 35G25 PDFBibTeX XMLCite \textit{P. Agarwal} et al., Adv. Difference Equ. 2020, Paper No. 18, 10 p. (2020; Zbl 1487.60119) Full Text: DOI
Korpinar, Zeliha; Inc, Mustafa; Alshomrani, Ali S.; Baleanu, Dumitru The deterministic and stochastic solutions of the Schrodinger equation with time conformable derivative in birefrigent fibers. (English) Zbl 1484.35346 AIMS Math. 5, No. 3, 2326-2345 (2020). MSC: 35Q55 26A24 35R60 PDFBibTeX XMLCite \textit{Z. Korpinar} et al., AIMS Math. 5, No. 3, 2326--2345 (2020; Zbl 1484.35346) Full Text: DOI
Zhang, Ao; Duan, Jinqiao Effective wave factorization for a stochastic Schrödinger equation. (English) Zbl 1490.35463 Physica D 411, Article ID 132573, 6 p. (2020). MSC: 35Q55 35Q41 35A15 35B27 60H40 74Q10 35R60 PDFBibTeX XMLCite \textit{A. Zhang} and \textit{J. Duan}, Physica D 411, Article ID 132573, 6 p. (2020; Zbl 1490.35463) Full Text: DOI arXiv
Yang, Hui; Fang, Shiyue; Liang, Fei; Li, Min A general stability result for second order stochastic quasilinear evolution equations with memory. (English) Zbl 1486.60086 Bound. Value Probl. 2020, Paper No. 62, 16 p. (2020). MSC: 60H15 35L05 35L70 PDFBibTeX XMLCite \textit{H. Yang} et al., Bound. Value Probl. 2020, Paper No. 62, 16 p. (2020; Zbl 1486.60086) Full Text: DOI
Kim, Hyunsoo; Sakthivel, Rathinasamy; Debbouche, Amar; Torres, Delfim F. M. Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations. (English) Zbl 1495.35193 Chaos Solitons Fractals 131, Article ID 109542, 12 p. (2020). MSC: 35R11 60H15 35R60 35C07 35Q55 PDFBibTeX XMLCite \textit{H. Kim} et al., Chaos Solitons Fractals 131, Article ID 109542, 12 p. (2020; Zbl 1495.35193) Full Text: DOI arXiv
Bevia, V.; Burgos, C.; Cortés, J.-C.; Navarro-Quiles, A.; Villanueva, R.-J. Uncertainty quantification analysis of the biological Gompertz model subject to random fluctuations in all its parameters. (English) Zbl 1490.60142 Chaos Solitons Fractals 138, Article ID 109908, 12 p. (2020). MSC: 60H10 34F05 65C30 92B05 PDFBibTeX XMLCite \textit{V. Bevia} et al., Chaos Solitons Fractals 138, Article ID 109908, 12 p. (2020; Zbl 1490.60142) Full Text: DOI
Hyder, Abd-Allah White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives. (English) Zbl 1482.35251 Adv. Difference Equ. 2020, Paper No. 236, 19 p. (2020). MSC: 35R11 35Q53 60H15 26A33 35Q51 37L55 PDFBibTeX XMLCite \textit{A.-A. Hyder}, Adv. Difference Equ. 2020, Paper No. 236, 19 p. (2020; Zbl 1482.35251) Full Text: DOI
Yao, Huazhen; Zhang, Jianwen Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise. (English) Zbl 1482.37080 Adv. Difference Equ. 2020, Paper No. 221, 19 p. (2020). MSC: 37L55 35B41 37L30 35B40 35R60 PDFBibTeX XMLCite \textit{H. Yao} and \textit{J. Zhang}, Adv. Difference Equ. 2020, Paper No. 221, 19 p. (2020; Zbl 1482.37080) Full Text: DOI
Dymov, A. V.; Kuksin, S. B. On the Zakharov-L’vov stochastic model for wave turbulence. (English. Russian original) Zbl 1479.35783 Dokl. Math. 101, No. 2, 102-109 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 29-37 (2020). MSC: 35Q55 35Q41 35B20 82C40 35R60 PDFBibTeX XMLCite \textit{A. V. Dymov} and \textit{S. B. Kuksin}, Dokl. Math. 101, No. 2, 102--109 (2020; Zbl 1479.35783); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 29--37 (2020) Full Text: DOI arXiv
Rohanizadegan, Yousef; Sonner, Stefanie; Eberl, Hermann J. Discrete attachment to a cellulolytic biofilm modeled by an Itô stochastic differential equation. (English) Zbl 1470.92199 Math. Biosci. Eng. 17, No. 3, 2236-2271 (2020). MSC: 92C75 60H15 35Q92 PDFBibTeX XMLCite \textit{Y. Rohanizadegan} et al., Math. Biosci. Eng. 17, No. 3, 2236--2271 (2020; Zbl 1470.92199) Full Text: DOI
Driver, David P.; Tehranchi, Michael R. Optimisation-based representations for branching processes. (English) Zbl 1473.60123 Electron. J. Probab. 25, Paper No. 143, 15 p. (2020). MSC: 60J80 60J65 35K55 35R11 PDFBibTeX XMLCite \textit{D. P. Driver} and \textit{M. R. Tehranchi}, Electron. J. Probab. 25, Paper No. 143, 15 p. (2020; Zbl 1473.60123) Full Text: DOI arXiv
Darwich, Mohamad Invariance of the white noise for the Ostrovsky equation. (English) Zbl 1462.35149 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 2, 301-324 (2020). MSC: 35G31 35R60 PDFBibTeX XMLCite \textit{M. Darwich}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 2, 301--324 (2020; Zbl 1462.35149) Full Text: DOI arXiv
Franchi, Bruno; Heida, Martin; Lorenzani, Silvia A mathematical model for Alzheimer’s disease: an approach via stochastic homogenization of the Smoluchowski equation. (English) Zbl 1464.35361 Commun. Math. Sci. 18, No. 4, 1105-1134 (2020). MSC: 35Q92 35K55 35R60 80A30 92C20 92C50 35B27 35B40 PDFBibTeX XMLCite \textit{B. Franchi} et al., Commun. Math. Sci. 18, No. 4, 1105--1134 (2020; Zbl 1464.35361) Full Text: DOI arXiv
Jian, Hui On stochastic Schrödinger equation with time-periodic dispersion and time-varying loss/gain. (English) Zbl 1474.35586 Adv. Math., Beijing 49, No. 6, 693-712 (2020). MSC: 35Q55 35R60 PDFBibTeX XMLCite \textit{H. Jian}, Adv. Math., Beijing 49, No. 6, 693--712 (2020; Zbl 1474.35586)
Japundžić, Miloš; Rajter-Ćirić, Danijela Fractional nonlinear stochastic heat equation with variable thermal conductivity. (English) Zbl 1474.60162 Fract. Calc. Appl. Anal. 23, No. 6, 1762-1782 (2020). MSC: 60H15 35R11 46F30 60G22 PDFBibTeX XMLCite \textit{M. Japundžić} and \textit{D. Rajter-Ćirić}, Fract. Calc. Appl. Anal. 23, No. 6, 1762--1782 (2020; Zbl 1474.60162) Full Text: DOI
Ernst, P. A.; Peskir, Goran; Zhou, Q. Optimal real-time detection of a drifting Brownian coordinate. (English) Zbl 1476.60078 Ann. Appl. Probab. 30, No. 3, 1032-1065 (2020). Reviewer: Krzysztof J. Szajowski (Wrocław) MSC: 60G40 60J65 60H30 35J15 45G10 62C10 PDFBibTeX XMLCite \textit{P. A. Ernst} et al., Ann. Appl. Probab. 30, No. 3, 1032--1065 (2020; Zbl 1476.60078) Full Text: DOI arXiv Euclid
Orrieri, Carlo; Rocca, Elisabetta; Scarpa, Luca Optimal control of stochastic phase-field models related to tumor growth. (English) Zbl 1459.35415 ESAIM, Control Optim. Calc. Var. 26, Paper No. 104, 46 p. (2020). MSC: 35R60 35K55 49J20 78A70 35Q92 PDFBibTeX XMLCite \textit{C. Orrieri} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 104, 46 p. (2020; Zbl 1459.35415) Full Text: DOI arXiv
Kuznetsov, Dmitriy Feliksovich Strong approximation of iterated Ito and Stratonovich stochastic integrals based on generalized multiple Fourier series. Application to numerical solution of Ito SDEs and semilinear SPDEs. (English) Zbl 1456.65001 Differ. Uravn. Protsessy Upr. 2020, No. 4, 606 p. (2020). MSC: 65-02 60H05 60H10 65C30 65M75 PDFBibTeX XML Full Text: arXiv Link Link
Cruz, José M. T. S.; Ševčovič, Daniel On solutions of a partial integro-differential equation in Bessel potential spaces with applications in option pricing models. (English) Zbl 1474.45064 Japan J. Ind. Appl. Math. 37, No. 3, 697-721 (2020). MSC: 45K05 45R05 60G65 91G20 PDFBibTeX XMLCite \textit{J. M. T. S. Cruz} and \textit{D. Ševčovič}, Japan J. Ind. Appl. Math. 37, No. 3, 697--721 (2020; Zbl 1474.45064) Full Text: DOI arXiv
Kaikina, Elena I.; Sotelo-Garcia, Norma Stochastic nonlinear Schrödinger equation on an upper-right quarter plane with Dirichlet random boundary. (English) Zbl 1454.35343 J. Math. Phys. 61, No. 10, 101509, 15 p. (2020). MSC: 35Q55 35Q41 35R60 60H40 35A01 35A02 PDFBibTeX XMLCite \textit{E. I. Kaikina} and \textit{N. Sotelo-Garcia}, J. Math. Phys. 61, No. 10, 101509, 15 p. (2020; Zbl 1454.35343) Full Text: DOI
Oh, Tadahiro; Pocovnicu, Oana; Wang, Yuzhao On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise. (English) Zbl 1454.35349 Kyoto J. Math. 60, No. 4, 1227-1243 (2020). MSC: 35Q55 60H40 35R60 35A01 35A02 PDFBibTeX XMLCite \textit{T. Oh} et al., Kyoto J. Math. 60, No. 4, 1227--1243 (2020; Zbl 1454.35349) Full Text: DOI arXiv Euclid
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. (English) Zbl 1454.62528 SIAM/ASA J. Uncertain. Quantif. 8, 1446-1492 (2020). MSC: 62P35 60H15 76D05 35Q31 35Q35 65C35 65C40 PDFBibTeX XMLCite \textit{C. Cotter} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1446--1492 (2020; Zbl 1454.62528) Full Text: DOI arXiv
Grecksch, Wilfried; Lisei, Hannelore Stochastic Schrödinger equations. (English) Zbl 1453.49009 Grecksch, Wilfried (ed.) et al., Infinite dimensional and finite dimensional stochastic equations and applications in physics. Hackensack, NJ: World Scientific. 115-160 (2020). MSC: 49J55 60H15 35R60 60H30 60G22 PDFBibTeX XMLCite \textit{W. Grecksch} and \textit{H. Lisei}, in: Infinite dimensional and finite dimensional stochastic equations and applications in physics. Hackensack, NJ: World Scientific. 115--160 (2020; Zbl 1453.49009) Full Text: DOI
Brzeźniak, Zdzisław; Hussain, Javed Global solution of nonlinear stochastic heat equation with solutions in a Hilbert manifold. (English) Zbl 1454.60088 Stoch. Dyn. 20, No. 6, Article ID 2040012, 29 p. (2020). Reviewer: Dejun Luo (Beijing) MSC: 60H15 35K05 35K55 58J35 58J65 60J60 60J65 PDFBibTeX XMLCite \textit{Z. Brzeźniak} and \textit{J. Hussain}, Stoch. Dyn. 20, No. 6, Article ID 2040012, 29 p. (2020; Zbl 1454.60088) Full Text: DOI
Hornung, Fabian The stochastic nonlinear Schrödinger equation in unbounded domains and non-compact manifolds. (English) Zbl 1448.35426 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 4, Paper No. 40, 46 p. (2020). MSC: 35Q41 35R60 60H15 60H30 60H40 37L65 PDFBibTeX XMLCite \textit{F. Hornung}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 4, Paper No. 40, 46 p. (2020; Zbl 1448.35426) Full Text: DOI arXiv
Zhang, Deng Optimal bilinear control of stochastic nonlinear Schrödinger equations: mass-(sub)critical case. (English) Zbl 1447.60127 Probab. Theory Relat. Fields 178, No. 1-2, 69-120 (2020). MSC: 60H15 35Q40 49K20 35J10 49K45 PDFBibTeX XMLCite \textit{D. Zhang}, Probab. Theory Relat. Fields 178, No. 1--2, 69--120 (2020; Zbl 1447.60127) Full Text: DOI arXiv
Balanzario, E. P.; Kaikina, E. I. Regularity analysis for stochastic complex Landau-Ginzburg equation with Dirichlet white-noise boundary conditions. (English) Zbl 1446.35190 SIAM J. Math. Anal. 52, No. 4, 3376-3396 (2020). MSC: 35Q56 60H15 35R60 35B65 60H40 PDFBibTeX XMLCite \textit{E. P. Balanzario} and \textit{E. I. Kaikina}, SIAM J. Math. Anal. 52, No. 4, 3376--3396 (2020; Zbl 1446.35190) Full Text: DOI
Tolomeo, Leonardo Unique ergodicity for a class of stochastic hyperbolic equations with additive space-time white noise. (English) Zbl 1442.35460 Commun. Math. Phys. 377, No. 2, 1311-1347 (2020). MSC: 35Q84 35B44 35L70 60H40 35R06 35R60 37A50 35A01 35A02 PDFBibTeX XMLCite \textit{L. Tolomeo}, Commun. Math. Phys. 377, No. 2, 1311--1347 (2020; Zbl 1442.35460) Full Text: DOI arXiv
Zhang, Shuai; Xu, Shaopeng Retracted: The probabilistic Cauchy problem for the fourth order Schrödinger equation with special derivative nonlinearities. (English) Zbl 1440.35289 Commun. Pure Appl. Anal. 19, No. 7, 3785-3803 (2020); retraction note ibid. 19, No. 7, 3785 (2020). MSC: 35Q41 35Q55 35R60 60H15 35A01 35A02 35B65 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{S. Xu}, Commun. Pure Appl. Anal. 19, No. 7, 3785--3803 (2020; Zbl 1440.35289) Full Text: DOI
Wang, Renhai; Wang, Bixiang Random dynamics of lattice wave equations driven by infinite-dimensional nonlinear noise. (English) Zbl 1443.37060 Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2461-2493 (2020). MSC: 37L60 37L55 35B41 35B40 35R60 PDFBibTeX XMLCite \textit{R. Wang} and \textit{B. Wang}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2461--2493 (2020; Zbl 1443.37060) Full Text: DOI
Zhang, Shuai; Xu, Shaopeng The probabilistic Cauchy problem for the fourth order Schrödinger equation with special derivative nonlinearities. (English) Zbl 1509.35396 Commun. Pure Appl. Anal. 19, No. 6, 3367-3385 (2020). MSC: 35R60 35Q41 35Q55 60H15 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{S. Xu}, Commun. Pure Appl. Anal. 19, No. 6, 3367--3385 (2020; Zbl 1509.35396) Full Text: DOI
Gao, Peng Averaging principle for multiscale stochastic fractional Schrödinger equation. (English) Zbl 1440.60052 Ann. Henri Poincaré 21, No. 5, 1637-1675 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 60H15 70K65 70K70 PDFBibTeX XMLCite \textit{P. Gao}, Ann. Henri Poincaré 21, No. 5, 1637--1675 (2020; Zbl 1440.60052) Full Text: DOI
Collot, C.; de Suzzoni, Anne-Sophie Stability of equilibria for a Hartree equation for random fields. (English. French summary) Zbl 1439.35438 J. Math. Pures Appl. (9) 137, 70-100 (2020). MSC: 35Q55 35B35 35B40 35B25 35P25 35R60 35Q40 PDFBibTeX XMLCite \textit{C. Collot} and \textit{A.-S. de Suzzoni}, J. Math. Pures Appl. (9) 137, 70--100 (2020; Zbl 1439.35438) Full Text: DOI arXiv
Marinoschi, Gabriela Rescaling approach for a stochastic population dynamics equation perturbed by a linear multiplicative Gaussian noise. (English) Zbl 1436.35333 Appl. Math. Optim. 81, No. 2, 511-544 (2020). MSC: 35R60 60H15 92D25 35Q92 PDFBibTeX XMLCite \textit{G. Marinoschi}, Appl. Math. Optim. 81, No. 2, 511--544 (2020; Zbl 1436.35333) Full Text: DOI arXiv
Hocquet, Antoine; Nilssen, Torstein; Stannat, Wilhelm Generalized Burgers equation with rough transport noise. (English) Zbl 1437.35709 Stochastic Processes Appl. 130, No. 4, 2159-2184 (2020). MSC: 35R60 35Q53 60H15 47J30 60L20 PDFBibTeX XMLCite \textit{A. Hocquet} et al., Stochastic Processes Appl. 130, No. 4, 2159--2184 (2020; Zbl 1437.35709) Full Text: DOI arXiv
Tölle, Jonas M. Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions. (English) Zbl 1439.35250 Stochastic Processes Appl. 130, No. 5, 3220-3248 (2020). MSC: 35K55 35K92 60H15 49J40 58J65 PDFBibTeX XMLCite \textit{J. M. Tölle}, Stochastic Processes Appl. 130, No. 5, 3220--3248 (2020; Zbl 1439.35250) Full Text: DOI arXiv
Li, Qiuqi; Zhang, Pingwen A variable-separation method for nonlinear partial differential equations with random inputs. (English) Zbl 1432.35266 SIAM J. Sci. Comput. 42, No. 2, A723-A750 (2020). MSC: 35R60 60H35 76D05 76M10 PDFBibTeX XMLCite \textit{Q. Li} and \textit{P. Zhang}, SIAM J. Sci. Comput. 42, No. 2, A723--A750 (2020; Zbl 1432.35266) Full Text: DOI
Juárez-Campos, B.; Kaikina, E. I.; Ruiz-Paredes, H. F. Stochastic Ginzburg-Landau equation on a half-line with Neumann type white-noise boundary conditions. (English) Zbl 1435.35366 J. Math. Anal. Appl. 487, No. 1, Article ID 123952, 29 p. (2020). MSC: 35Q56 35R60 35A01 35A02 35B65 60H15 PDFBibTeX XMLCite \textit{B. Juárez-Campos} et al., J. Math. Anal. Appl. 487, No. 1, Article ID 123952, 29 p. (2020; Zbl 1435.35366) Full Text: DOI
Brzeźniak, Zdzisław; Hornung, Fabian; Manna, Utpal Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise. (English) Zbl 1439.35584 Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 1, 1-53 (2020). Reviewer: Martin Ondreját (Praha) MSC: 35R60 60H15 35Q40 58J65 35Q55 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 1, 1--53 (2020; Zbl 1439.35584) Full Text: DOI arXiv Link
Wang, Li; Yan, Zhenya; Guo, Boling Numerical analysis of the Hirota equation: modulational instability, breathers, rogue waves, and interactions. (English) Zbl 1435.35369 Chaos 30, No. 1, 013114, 10 p. (2020). MSC: 35Q60 35Q55 78A60 35C08 37K10 35R60 37K15 65M70 PDFBibTeX XMLCite \textit{L. Wang} et al., Chaos 30, No. 1, 013114, 10 p. (2020; Zbl 1435.35369) Full Text: DOI
Goldys, Beniamin; Grotowski, Joseph F.; Le, Kim-Ngan Weak martingale solutions to the stochastic Landau-Lifshitz-Gilbert equation with multi-dimensional noise via a convergent finite-element scheme. (English) Zbl 1433.35380 Stochastic Processes Appl. 130, No. 1, 232-261 (2020). MSC: 35Q60 35K55 35R60 60H15 65L60 65L20 65C30 35A01 35D30 82D40 60H10 34F05 65N30 35R09 78A25 PDFBibTeX XMLCite \textit{B. Goldys} et al., Stochastic Processes Appl. 130, No. 1, 232--261 (2020; Zbl 1433.35380) Full Text: DOI arXiv
Chen, Mingjuan; Zhang, Shuai Random data Cauchy problem for the fourth order Schrödinger equation with the second order derivative nonlinearities. (English) Zbl 1433.35356 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111608, 23 p. (2020). MSC: 35Q55 35Q41 35J30 35R60 35B65 35A01 PDFBibTeX XMLCite \textit{M. Chen} and \textit{S. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111608, 23 p. (2020; Zbl 1433.35356) Full Text: DOI