Bao, Gang Mathematical analysis and numerical methods for inverse scattering problems. (English) Zbl 07822583 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5034-5055 (2023). MSC: 65N21 65N20 65C05 65H10 65N12 35A01 35R30 35R25 78A46 78A25 78M31 81V45 60H40 35Q60 35R60 PDFBibTeX XMLCite \textit{G. Bao}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5034--5055 (2023; Zbl 07822583) Full Text: DOI OA License
Li, Jianliang; Li, Peijun; Wang, Xu Inverse random potential scattering for elastic waves. (English) Zbl 1518.35679 Multiscale Model. Simul. 21, No. 1, 426-447 (2023). MSC: 35R30 35P25 35R60 60H15 PDFBibTeX XMLCite \textit{J. Li} et al., Multiscale Model. Simul. 21, No. 1, 426--447 (2023; Zbl 1518.35679) Full Text: DOI arXiv
Liu, Hongyu; Ma, Shiqi Inverse problem for a random Schrödinger equation with unknown source and potential. (English) Zbl 1518.35266 Math. Z. 304, No. 2, Paper No. 28, 31 p. (2023). MSC: 35J10 35R60 60H15 35R30 PDFBibTeX XMLCite \textit{H. Liu} and \textit{S. Ma}, Math. Z. 304, No. 2, Paper No. 28, 31 p. (2023; Zbl 1518.35266) Full Text: DOI arXiv
Li, Jianliang; Li, Peijun; Wang, Xu Inverse source problems for the stochastic wave equations: far-field patterns. (English) Zbl 1494.35188 SIAM J. Appl. Math. 82, No. 4, 1113-1134 (2022). MSC: 35R30 35L05 35S05 60H15 PDFBibTeX XMLCite \textit{J. Li} et al., SIAM J. Appl. Math. 82, No. 4, 1113--1134 (2022; Zbl 1494.35188) Full Text: DOI arXiv
Hernández, F.; Jara, M.; Valentim, F. Lattice model for fast diffusion equation. (English) Zbl 1441.60081 Stochastic Processes Appl. 130, No. 5, 2808-2837 (2020). MSC: 60K35 35K65 82C22 PDFBibTeX XMLCite \textit{F. Hernández} et al., Stochastic Processes Appl. 130, No. 5, 2808--2837 (2020; Zbl 1441.60081) Full Text: DOI arXiv
Caro, Pedro; Helin, Tapio; Lassas, Matti Inverse scattering for a random potential. (English) Zbl 1430.81081 Anal. Appl., Singap. 17, No. 4, 513-567 (2019). Reviewer: Miyeon Kwon (Platteville) MSC: 81U40 35R30 35J10 60G60 PDFBibTeX XMLCite \textit{P. Caro} et al., Anal. Appl., Singap. 17, No. 4, 513--567 (2019; Zbl 1430.81081) Full Text: DOI arXiv
Ciotir, Ioana Existence and uniqueness of the solution for stochastic super-fast diffusion equations with multiplicative noise. (English) Zbl 1373.60109 J. Math. Anal. Appl. 452, No. 1, 595-610 (2017). MSC: 60H15 35J62 35R60 60J60 PDFBibTeX XMLCite \textit{I. Ciotir}, J. Math. Anal. Appl. 452, No. 1, 595--610 (2017; Zbl 1373.60109) Full Text: DOI
Helin, Tapio; Lassas, Matti; Oksanen, Lauri Inverse problem for the wave equation with a white noise source. (English) Zbl 1314.60128 Commun. Math. Phys. 332, No. 3, 933-953 (2014). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 60H15 35L05 PDFBibTeX XMLCite \textit{T. Helin} et al., Commun. Math. Phys. 332, No. 3, 933--953 (2014; Zbl 1314.60128) Full Text: DOI arXiv
Gess, Benjamin; Tölle, Jonas M. Multi-valued, singular stochastic evolution inclusions. (English) Zbl 1295.47042 J. Math. Pures Appl. (9) 101, No. 6, 789-827 (2014). Reviewer: Feng-Yu Wang (Swansea) MSC: 47D07 60H15 35R60 PDFBibTeX XMLCite \textit{B. Gess} and \textit{J. M. Tölle}, J. Math. Pures Appl. (9) 101, No. 6, 789--827 (2014; Zbl 1295.47042) Full Text: DOI arXiv
Cheng, Mulin; Hou, Thomas Y.; Zhang, Zhiwen A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations. I: Derivation and algorithms. (English) Zbl 1297.65008 J. Comput. Phys. 242, 843-868 (2013). MSC: 65C30 60H15 60H35 35R60 PDFBibTeX XMLCite \textit{M. Cheng} et al., J. Comput. Phys. 242, 843--868 (2013; Zbl 1297.65008) Full Text: DOI
Ciotir, Ioana; Tölle, Jonas M. Convergence of invariant measures for singular stochastic diffusion equations. (English) Zbl 1252.60059 Stochastic Processes Appl. 122, No. 4, 1998-2017 (2012); corrigendum ibid. 123, No. 3, 1178-1181 (2013). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 60H15 35K67 37L40 49J45 PDFBibTeX XMLCite \textit{I. Ciotir} and \textit{J. M. Tölle}, Stochastic Processes Appl. 122, No. 4, 1998--2017 (2012; Zbl 1252.60059) Full Text: DOI arXiv
Spiess, Malte; Spodarev, Evgeny Anisotropic Poisson processes of cylinders. (English) Zbl 1252.60017 Methodol. Comput. Appl. Probab. 13, No. 4, 801-819 (2011). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 60G10 PDFBibTeX XMLCite \textit{M. Spiess} and \textit{E. Spodarev}, Methodol. Comput. Appl. Probab. 13, No. 4, 801--819 (2011; Zbl 1252.60017) Full Text: DOI arXiv
Barbu, Viorel A variational approach to stochastic nonlinear parabolic problems. (English) Zbl 1235.60074 J. Math. Anal. Appl. 384, No. 1, 2-15 (2011). Reviewer: Iulian Stoleriu (Iaşi) MSC: 60H15 35R60 35K58 PDFBibTeX XMLCite \textit{V. Barbu}, J. Math. Anal. Appl. 384, No. 1, 2--15 (2011; Zbl 1235.60074) Full Text: DOI
Ballani, Felix Multiple-point hit distribution functions and vague convergence of related measures. (English) Zbl 1220.60007 Math. Nachr. 284, No. 8-9, 938-947 (2011). MSC: 60D05 60G57 PDFBibTeX XMLCite \textit{F. Ballani}, Math. Nachr. 284, No. 8--9, 938--947 (2011; Zbl 1220.60007) Full Text: DOI
Barbu, Viorel; da Prato, Giuseppe Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation. (English) Zbl 1201.60062 Stochastic Processes Appl. 120, No. 7, 1247-1266 (2010). Reviewer: Alexander I. Zejfman (Vologda) MSC: 60H15 47D07 35R60 PDFBibTeX XMLCite \textit{V. Barbu} and \textit{G. da Prato}, Stochastic Processes Appl. 120, No. 7, 1247--1266 (2010; Zbl 1201.60062) Full Text: DOI
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael Finite time extinction for solutions to fast diffusion stochastic porous media equations. (English) Zbl 1156.60040 C. R., Math., Acad. Sci. Paris 347, No. 1-2, 81-84 (2009). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{V. Barbu} et al., C. R., Math., Acad. Sci. Paris 347, No. 1--2, 81--84 (2009; Zbl 1156.60040) Full Text: DOI arXiv
Lassas, Matti; Päivärinta, Lassi; Saksman, Eero Inverse scattering problem for a two dimensional random potential. (English) Zbl 1203.35292 Commun. Math. Phys. 279, No. 3, 669-703 (2008). Reviewer: Elisa Alòs (Barcelona) MSC: 35R30 35R60 35J10 35P25 60H15 35A27 81U40 PDFBibTeX XMLCite \textit{M. Lassas} et al., Commun. Math. Phys. 279, No. 3, 669--703 (2008; Zbl 1203.35292) Full Text: DOI
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid Self-averaging in time reversal for the parabolic wave equation. (English) Zbl 1020.35126 Stoch. Dyn. 2, No. 4, 507-531 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35R60 35Q40 60H25 PDFBibTeX XMLCite \textit{G. Bal} et al., Stoch. Dyn. 2, No. 4, 507--531 (2002; Zbl 1020.35126) Full Text: DOI arXiv