Albeverio, S. A.; Belopol’skaya, Ya. I.; Feller, M. N. The Cauchy problem for the wave equation with Lévy Laplacian. (English. Russian original) Zbl 1275.35134 Math. Notes 87, No. 6, 787-796 (2010); translation from Mat. Zametki 87, No. 6, 803-813 (2010). MSC: 35L15 35R15 PDFBibTeX XMLCite \textit{S. A. Albeverio} et al., Math. Notes 87, No. 6, 787--796 (2010; Zbl 1275.35134); translation from Mat. Zametki 87, No. 6, 803--813 (2010) Full Text: DOI
Albeverio, S.; Belopolskaya, Ya. I.; Feller, M. N. Boundary problems for the wave equation with the Lévy Laplacian in Shilov’s class. (English) Zbl 1224.35417 Methods Funct. Anal. Topol. 16, No. 3, 197-202 (2010). Reviewer: A. N. Kochubei (Kyïv) MSC: 35R15 46G05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Methods Funct. Anal. Topol. 16, No. 3, 197--202 (2010; Zbl 1224.35417)
Albeverio, S.; Belopolskaya, Ya. Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes. (English) Zbl 1221.60076 Cubo 12, No. 2, 77-96 (2010). Reviewer: Maria Stolarczyk (Katowice) MSC: 60H10 60J60 35G05 35K45 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{Ya. Belopolskaya}, Cubo 12, No. 2, 77--96 (2010; Zbl 1221.60076) Full Text: DOI arXiv
Albeverio, Sergio; Belopolskaya, Yana Stochastic processes in \(\mathbb Q_p\) associated with systems of nonlinear PIDEs. (English) Zbl 1187.60068 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 2, 105-117 (2009). MSC: 60J99 35R09 60H15 65C30 35S10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{Y. Belopolskaya}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 2, 105--117 (2009; Zbl 1187.60068) Full Text: DOI
Albeverio, S.; Belopolskaya, Ya. \(Q_p\)-valued jump processes associated with linear and nonlinear pseudo-differential equations. (English. Russian original) Zbl 1288.60070 J. Math. Sci., New York 152, No. 6, 799-816 (2008); translation from Zap. Nauchn. Semin. POMI 351, 5-37 (2007). MSC: 60H10 46S10 60J75 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{Ya. Belopolskaya}, J. Math. Sci., New York 152, No. 6, 799--816 (2008; Zbl 1288.60070); translation from Zap. Nauchn. Semin. POMI 351, 5--37 (2007) Full Text: DOI
Albeverio, S.; Belopolskaya, Ya.; Feller, M. Boundary problems for fully nonlinear parabolic equations with Lévy Laplacian. (English) Zbl 1164.35075 Methods Funct. Anal. Topol. 14, No. 1, 1-9 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35R15 46G05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Methods Funct. Anal. Topol. 14, No. 1, 1--9 (2008; Zbl 1164.35075)
Albeverio, S.; Belopolskaya, Ya. Probabilistic interpretation of the VV-method for PDE systems. (English) Zbl 1209.35059 Rozanova, Olga S. (ed.), Analytical approaches to multidimensional balance laws. New York, NY: Nova Science Publishers (ISBN 1-59454-307-0). 1-43 (2006). MSC: 35K45 60H10 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{Ya. Belopolskaya}, in: Analytical approaches to multidimensional balance laws. New York, NY: Nova Science Publishers. 1--43 (2006; Zbl 1209.35059)
Albeverio, S.; Belopolskaya, Ya.; Feller, M. Lévy-Dirichlet forms. II. (English) Zbl 1118.35056 Methods Funct. Anal. Topol. 12, No. 4, 302-314 (2006). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35R15 46G05 31C25 60J25 60J60 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Methods Funct. Anal. Topol. 12, No. 4, 302--314 (2006; Zbl 1118.35056)
Albeverio, S.; Belopolskaya, Ya.; Feller, M. Lévy-Dirichlet forms. (English) Zbl 1104.31005 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9, No. 3, 435-449 (2006). Reviewer: Zoran Vondraček (Urbana) MSC: 31C25 35R15 46G05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9, No. 3, 435--449 (2006; Zbl 1104.31005) Full Text: DOI
Albeverio, S.; Belopolskaya, Ya. Probabilistic approach to systems of nonlinear PDEs and vanishing viscosity method. (English) Zbl 1180.35542 Markov Process. Relat. Fields 12, No. 1, 59-94 (2006). MSC: 35R15 60H10 60H15 35B25 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{Ya. Belopolskaya}, Markov Process. Relat. Fields 12, No. 1, 59--94 (2006; Zbl 1180.35542)
Albeverio, S.; Belopolskaya, Ya.; Feller, M. The Cauchy problem for nonlinear parabolic equations with Lévy Laplacian. (English) Zbl 1091.35110 Potential Anal. 24, No. 2, 125-136 (2006). MSC: 35R15 35K55 46G05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Potential Anal. 24, No. 2, 125--136 (2006; Zbl 1091.35110) Full Text: DOI
Albeverio, S.; Belopolskaya, Ya.; Feller, M. Riquier problem for nonlinear elliptic equations with Lévy Laplacians. (English) Zbl 1094.35131 Methods Funct. Anal. Topol. 11, No. 1, 1-9 (2005). Reviewer: A. N. Kochubei (Kyïv) MSC: 35R15 46G05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Methods Funct. Anal. Topol. 11, No. 1, 1--9 (2005; Zbl 1094.35131)
Albeverio, S.; Belopolskaya, Ya. Probabilistic approach to hydrodynamic equations. (English) Zbl 1066.76019 Davies, I. M. (ed.) et al., Probabilistic methods in fluids. Proceedings of the Swansea 2002 workshop, Wales, UK, April 14–19, 2002. Singapore: World Scientific (ISBN 981-238-226-7/hbk). 1-21 (2003). MSC: 76D06 76D03 35Q30 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{Ya. Belopolskaya}, in: Probabilistic methods in fluids. Proceedings of the Swansea 2002 workshop, Wales, UK, April 14--19, 2002. Singapore: World Scientific. 1--21 (2003; Zbl 1066.76019)