El Hajj, Layan A convexity problem for a semi-linear PDE. (English) Zbl 1470.35440 Appl. Anal. 100, No. 8, 1816-1826 (2021). Reviewer: Antonio Greco (Cagliari) MSC: 35R35 35J61 35B51 PDFBibTeX XMLCite \textit{L. El Hajj}, Appl. Anal. 100, No. 8, 1816--1826 (2021; Zbl 1470.35440) Full Text: DOI
Bhattacharya, Tilak; Marazzi, Leonardo On the viscosity solutions to a degenerate parabolic differential equation. (English) Zbl 1436.35247 Ann. Mat. Pura Appl. (4) 194, No. 5, 1423-1454 (2015). MSC: 35K65 35K55 PDFBibTeX XMLCite \textit{T. Bhattacharya} and \textit{L. Marazzi}, Ann. Mat. Pura Appl. (4) 194, No. 5, 1423--1454 (2015; Zbl 1436.35247) Full Text: DOI arXiv
Marchi, Silvana Decay estimates of viscosity solutions of nonlinear parabolic PDEs and applications. (English) Zbl 1328.35082 Matematiche 69, No. 1, 109-123 (2014). Reviewer: Nikos Katzourakis (Reading) MSC: 35K55 35B40 35D40 PDFBibTeX XMLCite \textit{S. Marchi}, Matematiche 69, No. 1, 109--123 (2014; Zbl 1328.35082) Full Text: Link
Touzi, Nizar Optimal stochastic control, stochastic target problems, and backward SDE. (English) Zbl 1256.93008 Fields Institute Monographs 29. New York, NY: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences (ISBN 978-1-4614-4285-1/hbk; 978-1-4614-4286-8/ebook). x, 214 p. (2013). Reviewer: Tran Nhu Pham (Hanoi) MSC: 93-02 93E20 35D40 37N40 65M06 60H10 49L20 PDFBibTeX XMLCite \textit{N. Touzi}, Optimal stochastic control, stochastic target problems, and backward SDE. New York, NY: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences (2013; Zbl 1256.93008) Full Text: DOI
Nadirashvili, Nikolai; Vlăduţ, Serge Weak solutions of nonvariational elliptic equations. (English) Zbl 1298.35041 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 2001-2018 (2011). Reviewer: Michael Langenbruch (Oldenburg) MSC: 35J15 35D30 35D40 35J60 53C38 PDFBibTeX XMLCite \textit{N. Nadirashvili} and \textit{S. Vlăduţ}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2001--2018 (2011; Zbl 1298.35041) Full Text: Link
Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed Viscosity solutions to degenerate complex Monge-Ampère equations. (English) Zbl 1227.32042 Commun. Pure Appl. Math. 64, No. 8, 1059-1094 (2011); corrigendum ibid. 70, No. 5, 815-821 (2017). Reviewer: Marco Abate (Pisa) MSC: 32W20 32Q20 35J60 PDFBibTeX XMLCite \textit{P. Eyssidieux} et al., Commun. Pure Appl. Math. 64, No. 8, 1059--1094 (2011; Zbl 1227.32042) Full Text: DOI arXiv
Tersenov, Aris A remark on the existence of viscosity solutions for quasilinear elliptic equations. (English) Zbl 1103.35033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 1, 230-241 (2006). Reviewer: Georg Hetzer (Auburn) MSC: 35J60 35D05 PDFBibTeX XMLCite \textit{A. Tersenov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 1, 230--241 (2006; Zbl 1103.35033) Full Text: DOI
Oberman, Adam M. Convergent difference schemes for degenerate elliptic and parabolic equations: Hamilton-Jacobi equations and free boundary problems. (English) Zbl 1124.65103 SIAM J. Numer. Anal. 44, No. 2, 879-895 (2006). Reviewer: Georg Hebermehl (Berlin) MSC: 65N06 65N12 35B50 35R35 35K65 49L25 35J70 65M06 65M12 35R25 PDFBibTeX XMLCite \textit{A. M. Oberman}, SIAM J. Numer. Anal. 44, No. 2, 879--895 (2006; Zbl 1124.65103) Full Text: DOI
Chambolle, Antonin; Novaga, Matteo Convergence of an algorithm for the anisotropic and crystalline mean curvature flow. (English) Zbl 1116.35074 SIAM J. Math. Anal. 37, No. 6, 1978-1987 (2006). Reviewer: Christine Guenther (Forest Grove) MSC: 35K65 35K55 53C44 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{M. Novaga}, SIAM J. Math. Anal. 37, No. 6, 1978--1987 (2006; Zbl 1116.35074) Full Text: DOI Link
Koike, Shigeaki A beginner’s guide to the theory of viscosity solutions. (English) Zbl 1056.49027 MSJ Memoirs 13. Tokyo: Mathematical Society of Japan (ISBN 4-931469-28-0/pbk). viii, 123 p. (2004). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49L25 35F30 35J25 35J60 35J70 49L20 49N70 49-01 PDFBibTeX XMLCite \textit{S. Koike}, A beginner's guide to the theory of viscosity solutions. Tokyo: Mathematical Society of Japan (2004; Zbl 1056.49027) Full Text: DOI Link
Ben Moussa, B.; Kossioris, G. T. On the system of Hamilton-Jacobi and transport equations arising in geometrical optics. (English) Zbl 1029.78002 Commun. Partial Differ. Equations 28, No. 5-6, 1085-1111 (2003). Reviewer: Ingrid Beltita (Bucureşti) MSC: 78A05 35F25 78A40 35Q60 35L67 PDFBibTeX XMLCite \textit{B. Ben Moussa} and \textit{G. T. Kossioris}, Commun. Partial Differ. Equations 28, No. 5--6, 1085--1111 (2003; Zbl 1029.78002) Full Text: DOI
Bieske, Thomas Viscosity solutions on Grushin-type planes. (English) Zbl 1029.35079 Ill. J. Math. 46, No. 3, 893-911 (2002). Reviewer: Jan Chrastina (Brno) MSC: 35H20 35B50 PDFBibTeX XMLCite \textit{T. Bieske}, Ill. J. Math. 46, No. 3, 893--911 (2002; Zbl 1029.35079)
Bieske, Thomas On \(\infty\)-harmonic functions on the Heisenberg group. (English) Zbl 1090.35063 Commun. Partial Differ. Equations 27, No. 3-4, 727-761 (2002). MSC: 35H20 35J70 43A80 PDFBibTeX XMLCite \textit{T. Bieske}, Commun. Partial Differ. Equations 27, No. 3--4, 727--761 (2002; Zbl 1090.35063) Full Text: DOI
Jiang, Lishang; Dai, Min Convergence analysis of binomial tree method for American-type path-dependent options. (English) Zbl 0978.91040 Kenmochi, N. (ed.), Proceedings of the international conference on free boundary problems: theory and applications, Chiba, Japan, November 7-13, 1999. I. Tokyo: Gakkōtosho. GAKUTO Int. Ser., Math. Sci. Appl. 13, 153-166 (2000). Reviewer: Vladimir Gorbunov (Ul’yanovsk) MSC: 91B28 PDFBibTeX XMLCite \textit{L. Jiang} and \textit{M. Dai}, GAKUTO Int. Ser., Math. Sci. Appl. 13, 153--166 (2000; Zbl 0978.91040)
Prykarpatsky, A. K.; Blackmore, D. L.; Mukutyuk, Ya. V. On the Lax solution to the Hamilton–Jacobi equation and its generalizations. II. (English) Zbl 0936.35182 J. Math. Sci., New York 104, No. 5, 1411-1421 (2001); translation from Mat. Metody Fiz.-Mekh. Polya 41, No. 3, 7-15 (1998). Reviewer: A. A. Martynyuk (Kyïv) MSC: 35Q72 37K05 PDFBibTeX XMLCite \textit{A. K. Prykarpatsky} et al., Mat. Metody Fiz.-Mekh. Polya 41, No. 3, 7--15 (1998; Zbl 0936.35182); translation from Mat. Metody Fiz.-Mekh. Polya 41, No. 3, 7--15 (1998)
Prykarpatsky, A. K.; Blackmore, D. L. On the Lax solution to the Hamilton–Jacobi equation. I. (English) Zbl 0936.35181 J. Math. Sci., New York 99, No. 5, 1541-1547 (2000) and Mat. Metody Fiz.-Mekh. Polya 41, No. 2, 20-25 (1998). Reviewer: A.A.Martynyuk (Kyïv) MSC: 35Q72 37K05 35A08 PDFBibTeX XMLCite \textit{A. K. Prykarpatsky} and \textit{D. L. Blackmore}, Mat. Metody Fiz.-Mekh. Polya 41, No. 2, 20--25 (1998; Zbl 0936.35181)
Ioffe, Alexander D.; Penot, Jean-Paul Limiting subhessians, limiting subjets and their calculus. (English) Zbl 0884.49012 Trans. Am. Math. Soc. 349, No. 2, 789-807 (1997). Reviewer: M.Degiovanni (Brescia) MSC: 49J52 28A15 46G05 46N10 PDFBibTeX XMLCite \textit{A. D. Ioffe} and \textit{J.-P. Penot}, Trans. Am. Math. Soc. 349, No. 2, 789--807 (1997; Zbl 0884.49012) Full Text: DOI
Crandall, Michael G. Viscosity solutions: A primer. (English) Zbl 0901.49026 Capuzzo Dolcetta, I. (ed.) et al., Viscosity solutions and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Montecatini Terme, Italy, June 12-20, 1995. Berlin: Springer. Lect. Notes Math. 1660, 1-43 (1997). Reviewer: P.Cannarsa (Roma) MSC: 49L25 35J70 35J60 49L20 35B05 49-01 PDFBibTeX XMLCite \textit{M. G. Crandall}, Lect. Notes Math. 1660, 1--43 (1997; Zbl 0901.49026)
Diaz, G.; Letelier, R.; Ortega, J. Existence of a unique solution to a quasilinear elliptic equation on a bounded domain. (English) Zbl 0874.35036 Panam. Math. J. 6, No. 4, 1-35 (1996). Reviewer: P.W.Schaefer (Knoxville) MSC: 35J60 35J67 PDFBibTeX XMLCite \textit{G. Diaz} et al., Panam. Math. J. 6, No. 4, 1--35 (1996; Zbl 0874.35036)
Krylov, N. V. On the general notion of fully nonlinear second-order elliptic equations. (English) Zbl 0832.35042 Trans. Am. Math. Soc. 347, No. 3, 857-895 (1995). Reviewer: G.Porru (Cagliari) MSC: 35J60 PDFBibTeX XMLCite \textit{N. V. Krylov}, Trans. Am. Math. Soc. 347, No. 3, 857--895 (1995; Zbl 0832.35042) Full Text: DOI