Barbu, Viorel; Röckner, Michael Nonlinear Fokker-Planck equations with time-dependent coefficients. (English) Zbl 1511.60094 SIAM J. Math. Anal. 55, No. 1, 1-18 (2023). MSC: 60H15 47H05 47J05 PDFBibTeX XMLCite \textit{V. Barbu} and \textit{M. Röckner}, SIAM J. Math. Anal. 55, No. 1, 1--18 (2023; Zbl 1511.60094) Full Text: DOI arXiv
Belopolskaya, Ya. I. A stochastic approach to the Cauchy-Neumann problem for systems of nonlinear parabolic equations. (English) Zbl 07798294 J. Math. Sci., New York 266, No. 6, Series A, 832-848 (2022). MSC: 60J60 35K55 35D30 60Hxx 91Axx PDFBibTeX XMLCite \textit{Ya. I. Belopolskaya}, J. Math. Sci., New York 266, No. 6, 832--848 (2022; Zbl 07798294) Full Text: DOI
Rehmeier, Marco Flow selections for (nonlinear) Fokker-Planck-Kolmogorov equations. (English) Zbl 1489.60134 J. Differ. Equations 328, 105-132 (2022). MSC: 60J60 35Q84 35K55 PDFBibTeX XMLCite \textit{M. Rehmeier}, J. Differ. Equations 328, 105--132 (2022; Zbl 1489.60134) Full Text: DOI arXiv
Cordoni, Francesco; Di Persio, Luca Optimal control of the FitzHugh-Nagumo stochastic model with nonlinear diffusion. (English) Zbl 1489.49019 Appl. Math. Optim. 84, No. 3, 2947-2968 (2021). Reviewer: Andreas Mang (Houston) MSC: 49K45 60H15 91G80 93E20 47H06 35R60 49K30 58E25 PDFBibTeX XMLCite \textit{F. Cordoni} and \textit{L. Di Persio}, Appl. Math. Optim. 84, No. 3, 2947--2968 (2021; Zbl 1489.49019) Full Text: DOI arXiv
Chen, Pengyu; Li, Yongxiang; Zhang, Xuping Cauchy problem for stochastic non-autonomous evolution equations governed by noncompact evolution families. (English) Zbl 1469.34082 Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1531-1547 (2021). MSC: 34G20 34F05 37C60 34A12 60H15 47N20 PDFBibTeX XMLCite \textit{P. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1531--1547 (2021; Zbl 1469.34082) Full Text: DOI
Belopolskaya, Ya. Probabilistic interpretation of the Cauchy problem solution for systems of nonlinear parabolic equations. (English) Zbl 1453.60115 Lobachevskii J. Math. 41, No. 4, 597-612 (2020). MSC: 60H15 35K45 35C05 35K59 PDFBibTeX XMLCite \textit{Ya. Belopolskaya}, Lobachevskii J. Math. 41, No. 4, 597--612 (2020; Zbl 1453.60115) Full Text: DOI
Vasiuchkova, Ksenia V.; Manakova, Natalia A.; Sviridyuk, Georgy A. Degenerate nonlinear semigroups of operators and their applications. (English) Zbl 1501.47095 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 363-378 (2020). MSC: 47H20 35K90 35R20 60H15 PDFBibTeX XMLCite \textit{K. V. Vasiuchkova} et al., Springer Proc. Math. Stat. 325, 363--378 (2020; Zbl 1501.47095) Full Text: DOI
Belopolskaya, Yana Probabilistic interpretations of quasilinear parabolic systems. (English) Zbl 1450.60041 Kuchment, Peter (ed.) et al., Differential equations, mathematical physics, and applications. Selim Grigorievich Krein centennial. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 734, 39-57 (2019). MSC: 60J60 60H15 PDFBibTeX XMLCite \textit{Y. Belopolskaya}, Contemp. Math. 734, 39--57 (2019; Zbl 1450.60041) Full Text: DOI
El-Borai, M. M.; El-Nadi, K. El-S.; Ahmed, H. M.; El-Owaidy, H. M.; Ghanem, A. S.; Sakthivel, R. Existence and stability for fractional parabolic integro-partial differential equations with fractional Brownian motion and nonlocal condition. (English) Zbl 1438.60069 Cogent Math. Stat. 5, Article ID 1460030, 8 p. (2018). MSC: 60H10 60H15 60G15 60G22 PDFBibTeX XMLCite \textit{M. M. El-Borai} et al., Cogent Math. Stat. 5, Article ID 1460030, 8 p. (2018; Zbl 1438.60069) Full Text: DOI
Belopol’skaya, Yana I. Probabilistic models of the dynamics of the growth of cells under contact inhibition. (English. Russian original) Zbl 1398.35303 Math. Notes 101, No. 3, 406-416 (2017); translation from Mat. Zametki 101, No. 3, 346-358 (2017). MSC: 35R60 35D30 35K45 35K59 60J70 92C37 PDFBibTeX XMLCite \textit{Y. I. Belopol'skaya}, Math. Notes 101, No. 3, 406--416 (2017; Zbl 1398.35303); translation from Mat. Zametki 101, No. 3, 346--358 (2017) Full Text: DOI
Çenesiz, Yücel; Kurt, Ali; Nane, Erkan Stochastic solutions of conformable fractional Cauchy problems. (English) Zbl 1417.35218 Stat. Probab. Lett. 124, 126-131 (2017). MSC: 35R11 35R60 60H30 PDFBibTeX XMLCite \textit{Y. Çenesiz} et al., Stat. Probab. Lett. 124, 126--131 (2017; Zbl 1417.35218) Full Text: DOI arXiv
Chen, Yong; Gao, Hongjun The Cauchy problem for the Hartree equations under random influences. (English) Zbl 1326.60090 J. Differ. Equations 259, No. 10, 5192-5219 (2015). MSC: 60H15 35R60 60J45 35L05 35L70 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{H. Gao}, J. Differ. Equations 259, No. 10, 5192--5219 (2015; Zbl 1326.60090) Full Text: DOI
Bayraktar, Erhan; Fahim, Arash A stochastic approximation for fully nonlinear free boundary parabolic problems. (English) Zbl 1297.65006 Numer. Methods Partial Differ. Equations 30, No. 3, 902-929 (2014). Reviewer: Gong Guanglu (Beijing) MSC: 65C30 65C05 60H15 60H35 35R60 91G60 PDFBibTeX XMLCite \textit{E. Bayraktar} and \textit{A. Fahim}, Numer. Methods Partial Differ. Equations 30, No. 3, 902--929 (2014; Zbl 1297.65006) Full Text: DOI arXiv Link
Jourdain, Benjamin; Reygner, Julien Propagation of chaos for rank-based interacting diffusions and long time behaviour of a scalar quasilinear parabolic equation. (English) Zbl 1279.65012 Stoch. Partial Differ. Equ., Anal. Comput. 1, No. 3, 455-506 (2013). MSC: 65C30 60H15 35R60 60H35 60K35 35K59 65M12 PDFBibTeX XMLCite \textit{B. Jourdain} and \textit{J. Reygner}, Stoch. Partial Differ. Equ., Anal. Comput. 1, No. 3, 455--506 (2013; Zbl 1279.65012) Full Text: DOI arXiv
Hall, Eric Joseph Higher order spatial approximations for degenerate parabolic stochastic partial differential equations. (English) Zbl 1283.65006 SIAM J. Math. Anal. 45, No. 4, 2071-2098 (2013). Reviewer: R. E. Maiboroda (Kyïv) MSC: 65C30 60H15 35K65 60H35 35R60 65M06 65M12 PDFBibTeX XMLCite \textit{E. J. Hall}, SIAM J. Math. Anal. 45, No. 4, 2071--2098 (2013; Zbl 1283.65006) Full Text: DOI arXiv
Melnikova, I. V.; Alekseeva, U. A. Solution of an abstract Cauchy problem with nonlinear and random perturbations in the Colombeau algebra. (English. Russian original) Zbl 1295.46029 Dokl. Math. 87, No. 2, 193-197 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 4, 393-397 (2013). Reviewer: Rainer Buckdahn (Brest) MSC: 46F30 60H10 47D06 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{U. A. Alekseeva}, Dokl. Math. 87, No. 2, 193--197 (2013; Zbl 1295.46029); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 4, 393--397 (2013) Full Text: DOI
Bauzet, Caroline; Vallet, Guy; Wittbold, Petra The Cauchy problem for conservation laws with a multiplicative stochastic perturbation. (English) Zbl 1263.35222 J. Hyperbolic Differ. Equ. 9, No. 4, 661-709 (2012). MSC: 35R60 35L60 60H15 PDFBibTeX XMLCite \textit{C. Bauzet} et al., J. Hyperbolic Differ. Equ. 9, No. 4, 661--709 (2012; Zbl 1263.35222) Full Text: DOI
Melnikova, Irina V.; Alekseeva, Uljana A. Quasilinear stochastic Cauchy problem in abstract Colombeau spaces. (English) Zbl 1259.60059 Int. J. Math. Math. Sci. 2012, Article ID 509026, 11 p. (2012). MSC: 60H10 47D06 60J35 60F15 PDFBibTeX XMLCite \textit{I. V. Melnikova} and \textit{U. A. Alekseeva}, Int. J. Math. Math. Sci. 2012, Article ID 509026, 11 p. (2012; Zbl 1259.60059) Full Text: DOI
Arlotti, L.; De Angelis, E.; Fermo, L.; Lachowicz, M.; Bellomo, N. On a class of integro-differential equations modeling complex systems with nonlinear interactions. (English) Zbl 1243.82046 Appl. Math. Lett. 25, No. 3, 490-495 (2012). MSC: 82C40 60K35 60K37 45K05 PDFBibTeX XMLCite \textit{L. Arlotti} et al., Appl. Math. Lett. 25, No. 3, 490--495 (2012; Zbl 1243.82046) Full Text: DOI
Ogorodnikov, A. A. Solution of nonlinear stochastic equations with a generator of a semigroup discontinuous at zero. (English. Russian original) Zbl 1254.60062 Russ. Math. 55, No. 6, 76-84 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 6, 90-99 (2011). MSC: 60H10 34G20 34F05 PDFBibTeX XMLCite \textit{A. A. Ogorodnikov}, Russ. Math. 55, No. 6, 76--84 (2011; Zbl 1254.60062); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 6, 90--99 (2011) Full Text: DOI
Boulton, Lyonell; Lord, Gabriel Approximation properties of the \(q\)-sine bases. (English) Zbl 1251.35058 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2133, 2690-2711 (2011). Reviewer: Yehuda Pinchover (Haifa) MSC: 35P30 35K92 60H15 35J92 PDFBibTeX XMLCite \textit{L. Boulton} and \textit{G. Lord}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2133, 2690--2711 (2011; Zbl 1251.35058) Full Text: DOI arXiv
Rubio, Gerardo Existence and uniqueness to the Cauchy problem for linear and semilinear parabolic equations with local conditions. (English) Zbl 1216.93094 ESAIM, Proc. 31, 73-100 (2011). MSC: 93E03 35K55 93B18 60H15 PDFBibTeX XMLCite \textit{G. Rubio}, ESAIM, Proc. 31, 73--100 (2011; Zbl 1216.93094) Full Text: DOI
Lekrine, Nadia; Xu, Chao-Jiang Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac’s equation. (English) Zbl 1194.35089 Kinet. Relat. Models 2, No. 4, 647-666 (2009). MSC: 35B65 42A38 60H07 82B40 35R09 35Q20 PDFBibTeX XMLCite \textit{N. Lekrine} and \textit{C.-J. Xu}, Kinet. Relat. Models 2, No. 4, 647--666 (2009; Zbl 1194.35089) Full Text: DOI arXiv
Pang, Huadong; Stroock, Daniel W. A highly unstable initial value boundary value problem. (English) Zbl 1173.35514 J. Funct. Anal. 255, No. 9, 2579-2605 (2008). MSC: 35K15 60J50 35A05 35B50 35R25 35K55 PDFBibTeX XMLCite \textit{H. Pang} and \textit{D. W. Stroock}, J. Funct. Anal. 255, No. 9, 2579--2605 (2008; Zbl 1173.35514) Full Text: DOI
Yelejko, Ya.; Zhernovyj, Yu.; Bugrij, N. Limit distributions of the time means of stochastic evolutions constructed on the basis of solutions of ordinary differential equations. (Ukrainian. English summary) Zbl 1091.65007 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2004, No. 9, 63-73 (2004). MSC: 65C50 60K40 65L05 34A34 PDFBibTeX XMLCite \textit{Ya. Yelejko} et al., Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2004, No. 9, 63--73 (2004; Zbl 1091.65007)
Belopol’skaya, Ya. I. A probability approach to the method of vanishing viscosity. (Russian, English) Zbl 1108.35079 Probl. Mat. Anal. 27, 3-43 (2004); translation in J. Math. Sci., New York 120, No. 2, 1051-1079 (2004). Reviewer: V. Grebenev (Novosibirsk) MSC: 35K40 35L60 35R60 35Q53 35B25 60H10 60H30 PDFBibTeX XMLCite \textit{Ya. I. Belopol'skaya}, Probl. Mat. Anal. 27, 3--43 (2004; Zbl 1108.35079); translation in J. Math. Sci., New York 120, No. 2, 1051--1079 (2004)
Fleischmann, Klaus; Swart, Jan M. Extinction versus exponential growth in a supercritical super-Wright-Fisher diffusion. (English) Zbl 1075.60567 Stochastic Processes Appl. 106, No. 1, 141-165 (2003). Reviewer: Jan Seidler (Praha) MSC: 60J80 60G57 35K55 PDFBibTeX XMLCite \textit{K. Fleischmann} and \textit{J. M. Swart}, Stochastic Processes Appl. 106, No. 1, 141--165 (2003; Zbl 1075.60567) Full Text: DOI
Makarov, R. N. Numerical solution of quasilinear parabolic equations and backward stochastic differential equations. (English) Zbl 1050.65002 Russ. J. Numer. Anal. Math. Model. 18, No. 5, 397-412 (2003). Reviewer: Eckhard Platen (Broadway) MSC: 65C30 60J65 60H15 PDFBibTeX XMLCite \textit{R. N. Makarov}, Russ. J. Numer. Anal. Math. Model. 18, No. 5, 397--412 (2003; Zbl 1050.65002) Full Text: DOI
Deck, Thomas Continuous dependence on initial data for solutions of nonlinear stochastic evolution equations. (English) Zbl 1048.60054 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 3, 333-350 (2002). Reviewer: George Stoica (Saint John) MSC: 60H40 60H15 46F25 PDFBibTeX XMLCite \textit{T. Deck}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 3, 333--350 (2002; Zbl 1048.60054) Full Text: DOI
Simogin, A. A. Solution of the Cauchy problem for an equation with partial derivatives of the first order perturbed by rapid random oscillations. (Russian. English summary) Zbl 1035.60066 Prykl. Stat., Aktuarna Finans. Mat. 2002, No. 1, 57-60 (2002). MSC: 60H15 PDFBibTeX XMLCite \textit{A. A. Simogin}, Prykl. Stat., Aktuarna Finans. Mat. 2002, No. 1, 57--60 (2002; Zbl 1035.60066)
Kulinich, G. L.; Pereguda, O. V. Invariant sets of Itô’s stochastic differential equations. Textbook. (Invariantni mnozhyny stokhastychnykh differentsial’nyck rivnyan’ Ito. Navchal’nyj posibnyk.) (Ukrainian) Zbl 1019.60002 Kyïv: Vydavnycho-Poligrafichnyj Tsentr, Kyïvskyj Universytet. 91 p. (2002). Reviewer: Mikhail P.Moklyachuk (Kyïv) MSC: 60-01 60H15 58J65 34F05 34C15 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{O. V. Pereguda}, Invariantni mnozhyny stokhastychnykh differentsial'nyck rivnyan' Ito. Navchal'nyj posibnyk (Ukrainian). Kyïv: Vydavnycho-Poligrafichnyj Tsentr, Kyïvskyj Universytet (2002; Zbl 1019.60002)
Ogawa, Shigeyoshi On a class of SPDEs called Brownian particle equation model for nonlinear diffusions. (English) Zbl 0979.60048 Monte Carlo Methods Appl. 7, No. 3-4, 321-328 (2001). Reviewer: Yu.S.Mishura (Kyïv) MSC: 60H15 60H30 60J65 60H10 PDFBibTeX XMLCite \textit{S. Ogawa}, Monte Carlo Methods Appl. 7, No. 3--4, 321--328 (2001; Zbl 0979.60048) Full Text: DOI
Hu, Shouchuan; Papageorgiou, Nikolas S. Handbook of multivalued analysis. Volume II: Applications. (English) Zbl 0943.47037 Mathematics and its Applications (Dordrecht). 500. Dordrecht: Kluwer Academic Publishers. xi, 926 p. (2000). Reviewer: P.Zabreiko (Minsk) MSC: 47H04 47-02 00A20 47-00 60G46 47H06 47H11 47H40 47H05 47H10 47J30 47J20 91A15 91B62 PDFBibTeX XMLCite \textit{S. Hu} and \textit{N. S. Papageorgiou}, Handbook of multivalued analysis. Volume II: Applications. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0943.47037)
Zhang, Shunming; Liu, Zaihua General Black-Scholes model of security valuation. (English) Zbl 0951.35059 Acta Math. Sci. (Engl. Ed.) 19, No. 3, 279-288 (1999). Reviewer: Renming Song (Urbana) MSC: 35K55 91B10 35K05 60J35 60H30 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Z. Liu}, Acta Math. Sci. (Engl. Ed.) 19, No. 3, 279--288 (1999; Zbl 0951.35059)
Ding, Xieping; Wang, Fan Solutions for a system of nonlinear random integral and differential equations under weak topology. (English) Zbl 0912.60079 Appl. Math. Mech., Engl. Ed. 18, No. 8, 721-737 (1997). MSC: 60H20 47H40 45D05 PDFBibTeX XMLCite \textit{X. Ding} and \textit{F. Wang}, Appl. Math. Mech., Engl. Ed. 18, No. 8, 721--737 (1997; Zbl 0912.60079) Full Text: DOI
Ding, Xieping; Wang, Fan Solutions for a system of nonlinear random integral and differential equations. (English) Zbl 0881.60059 Appl. Math. Mech., Engl. Ed. 17, No. 6, 495-506 (1996). MSC: 60H10 PDFBibTeX XMLCite \textit{X. Ding} and \textit{F. Wang}, Appl. Math. Mech., Engl. Ed. 17, No. 6, 495--506 (1996; Zbl 0881.60059) Full Text: DOI
Mikulevičius, R.; Pragarauskas, H. Nonlinear potentials of the Cauchy-Dirichlet problem for the integrodifferential Bellman equation. (English. Russian original) Zbl 0885.60045 Lith. Math. J. 36, No. 2, 142-173 (1996); translation from Liet. Mat. Rink. 36, No. 2, 178-218 (1996). Reviewer: T.N.Pham (Hanoi) MSC: 60H10 93E20 49L25 35D05 PDFBibTeX XMLCite \textit{R. Mikulevičius} and \textit{H. Pragarauskas}, Lith. Math. J. 36, No. 2, 142--173 (1996; Zbl 0885.60045); translation from Liet. Mat. Rink. 36, No. 2, 178--218 (1996) Full Text: DOI
Kirchev, K.; Zolotarev, V. Nonstationary curves in Hilbert spaces and their correlation functions. II. (English) Zbl 0886.60027 Integral Equations Oper. Theory 19, No. 4, 447-457 (1994). MSC: 60G12 47E05 47A48 PDFBibTeX XMLCite \textit{K. Kirchev} and \textit{V. Zolotarev}, Integral Equations Oper. Theory 19, No. 4, 447--457 (1994; Zbl 0886.60027) Full Text: DOI
Bogachev, V. I. Deterministic and stochastic differential equations in infinite dimensional spaces. (English) Zbl 0835.34082 Choquet, G. (ed.) et al., Séminaire d’initiation à l’analyse. 32ème année: 1992/1993. Paris: Université Pierre et Marie Curie, Publ. Math. Univ. Pierre Marie Curie. 109, Expo. No. 20, 50 p. (1993). Reviewer: D.Bobrowski (Poznań) MSC: 34G20 60H10 34F05 35K05 35R60 PDFBibTeX XMLCite \textit{V. I. Bogachev}, in: Séminaire d'initiation à l'analyse. 32ème année: 1992/1993. Paris: Université Pierre et Marie Curie. Expo. No. 20, 50 p. (1993; Zbl 0835.34082)
Papageorgiou, Nikolaos S. On the existence of solutions for random functional-differential equations in a Banach space. (English) Zbl 0798.60066 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 36, No. 2, 169-174 (1992). MSC: 60H20 34G20 PDFBibTeX XMLCite \textit{N. S. Papageorgiou}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 36, No. 2, 169--174 (1992; Zbl 0798.60066)
Gyöngy, I. The approximation of stochastic partial differential equations and applications in nonlinear filtering. (English) Zbl 0711.60053 Comput. Math. Appl. 19, No. 1, 47-63 (1990). Reviewer: M.Chaleyat-Maurel MSC: 60H15 60G35 93E11 PDFBibTeX XMLCite \textit{I. Gyöngy}, Comput. Math. Appl. 19, No. 1, 47--63 (1990; Zbl 0711.60053) Full Text: DOI
Diaz, G. On the positivity set of solutions of semilinear equations by stochastic methods. (English) Zbl 0763.35111 Free boundary problems: theory and applications, Proc. Int. Colloq., Irsee/Ger. 1987, Vol. II, Pitman Res. Notes Math. Ser. 186, 833-839 (1990). Reviewer: L.Pastur (Khar’kov) MSC: 35R60 35K55 35B05 60H15 PDFBibTeX XMLCite \textit{G. Diaz}, Pitman Res. Notes Math. Ser. 186, 833--839 (1990; Zbl 0763.35111)
Kogut, P. I. Regularity of solutions and space of states of controllable stochastic systems of neutral type. (Russian) Zbl 0685.60065 Differential equations and their applications in physics, Collect. Sci. Works, Dnepropetrovsk, 86-92 (1989). Reviewer: V.Kamen MSC: 60H20 60H10 45J05 PDFBibTeX XML
Enăchescu, Denis M. Variational computation method in nonlinear filtering. (English) Zbl 0739.93071 An. Univ. Bucur., Mat. 38, No. 3, 19-26 (1989). MSC: 93E11 60J20 93C10 PDFBibTeX XMLCite \textit{D. M. Enăchescu}, An. Univ. Bucur., Mat. 38, No. 3, 19--26 (1989; Zbl 0739.93071)
Freedman, M. A. A random walk for the solution sought: remarks on the difference scheme approach to nonlinear semigroups and evolution operators. (English) Zbl 0644.47048 Semigroup Forum 36, 117-126 (1987). Reviewer: J.I.Diaz MSC: 47H06 47H20 35A35 60G50 PDFBibTeX XMLCite \textit{M. A. Freedman}, Semigroup Forum 36, 117--126 (1987; Zbl 0644.47048) Full Text: DOI EuDML
Manthey, Ralf Existence, uniqueness and continuity of solutions to the Cauchy problem for reaction-diffusion equations with white noise. (English) Zbl 0597.35060 Forschungsergeb., Friedrich-Schiller-Univ. Jena N/86/4, 43 p. (1986). Reviewer: G.Warnecke MSC: 35K15 35A05 35Q99 60G15 35K55 PDFBibTeX XML
Freidlin, M. I. Erratum to “On wave fronts propagation in multicomponent media”. (English) Zbl 0574.35051 Trans. Am. Math. Soc. 289, 429 (1985). MSC: 35K60 35B40 76V05 35G10 35K25 60J60 PDFBibTeX XMLCite \textit{M. I. Freidlin}, Trans. Am. Math. Soc. 289, 429 (1985; Zbl 0574.35051) Full Text: DOI Link
Rozhkova, M. N. Investigation of the Cauchy problem for a quasi-linear parabolic system with the help of the Markov stochastic processes. (Russian) Zbl 0644.35056 Teor. Sluchajnykh Protsessov 12, 68-71 (1984). Reviewer: A.D.Borisenko MSC: 35K55 60H25 35R20 PDFBibTeX XMLCite \textit{M. N. Rozhkova}, Teor. Sluch. Protsess. 12, 68--71 (1984; Zbl 0644.35056)
Khrennikov, A. U. Some applications of Keller’s convergence structure to the nonlinear functional analysis. (English) Zbl 0607.47069 Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech. 1984, No. 2N, 113-118 (1984). Reviewer: Shaligram Singh MSC: 47H99 46A99 47F05 46G05 28C20 54A20 60G20 PDFBibTeX XMLCite \textit{A. U. Khrennikov}, Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech. 1984, No. 2N, 113--118 (1984; Zbl 0607.47069)
Berkaliev, Z. B. On the solvability of the Cauchy problem for the inverse Kolmogorov equation corresponding to a stochastic nonlinear hyperbolic equation. (Russian) Zbl 0591.35040 Differential equations and their applications, Collect. Artic., Moskva 1984, 138-143 (1984). Reviewer: S.Aizicovici MSC: 35L70 60H15 PDFBibTeX XML
Freidlin, Mark I. On wavefront propagation in periodic media. (English) Zbl 0549.60054 Stochastic analysis and applications, Adv. Probab. Relat. Top. 7, 147-166 (1984). Reviewer: C.Wu MSC: 60H10 60J70 35B40 35J60 82D30 PDFBibTeX XML
Freidlin, M. I. On wave fronts propagation in multicomponent media. (English) Zbl 0547.35058 Trans. Am. Math. Soc. 276, 181-191 (1983). Reviewer: P.Chandran MSC: 35K60 35B40 60J60 35G10 35K25 76V05 PDFBibTeX XMLCite \textit{M. I. Freidlin}, Trans. Am. Math. Soc. 276, 181--191 (1983; Zbl 0547.35058) Full Text: DOI
Belopol’skaya, Ya. I.; Daletskij, Yu. L. Cauchy problem for a nonlinear parabolic system via operator-valued multiplicative functionals of Markov random processes. (English) Zbl 0509.35046 J. Sov. Math. 21, 653-657 (1983). MSC: 35K55 35K60 35R60 60H10 PDFBibTeX XMLCite \textit{Ya. I. Belopol'skaya} and \textit{Yu. L. Daletskij}, J. Sov. Math. 21, 653--657 (1983; Zbl 0509.35046) Full Text: DOI
Belopol’skaya, Ya. I.; Daletskij, Yu. L. An investigation of the Cauchy problem for a nonlinear parabolic system with the aid of operator-valued multilinear functionals of Markov stochastic processes. (Russian) Zbl 0464.35047 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 96, 23-29 (1980). MSC: 35K55 60H10 35R60 35K60 PDFBibTeX XMLCite \textit{Ya. I. Belopol'skaya} and \textit{Yu. L. Daletskij}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 96, 23--29 (1980; Zbl 0464.35047)
Belopol’skaya, Ya. I.; Daletskij, Yu. L. Markov processes connected with nonlinear parabolic systems. (English. Russian original) Zbl 0456.35045 Sov. Math., Dokl. 21, 99-103 (1980); translation from Dokl. Akad. Nauk SSSR 250, 521-524 (1980). MSC: 35K55 60J65 PDFBibTeX XMLCite \textit{Ya. I. Belopol'skaya} and \textit{Yu. L. Daletskij}, Sov. Math., Dokl. 21, 99--103 (1980; Zbl 0456.35045); translation from Dokl. Akad. Nauk SSSR 250, 521--524 (1980)
Frejdlin, M. I. Propagation of a concentration wave in the presence of random motion associated with the growth of a substance. (English. Russian original) Zbl 0426.60070 Sov. Math., Dokl. 20, 503-507 (1979); translation from Dokl. Akad. Nauk SSSR 246, 544-548 (1979). MSC: 60J60 35L70 35B20 80A30 PDFBibTeX XMLCite \textit{M. I. Frejdlin}, Sov. Math., Dokl. 20, 503--507 (1979; Zbl 0426.60070); translation from Dokl. Akad. Nauk SSSR 246, 544--548 (1979)