Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E. A singular Hamilton-Jacobi equation modeling the tail problem. (English) Zbl 1280.35007 SIAM J. Math. Anal. 44, No. 6, 4297-4319 (2012). Reviewer: Georgii Sviridyuk (Chelyabinsk) MSC: 35B25 35K57 49L25 92D15 35F21 35B40 PDFBibTeX XMLCite \textit{S. Mirrahimi} et al., SIAM J. Math. Anal. 44, No. 6, 4297--4319 (2012; Zbl 1280.35007) Full Text: DOI arXiv
Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. (English) Zbl 1204.35027 Methods Appl. Anal. 16, No. 3, 321-340 (2009). MSC: 35B25 35K57 47G20 49L25 92D15 35F21 PDFBibTeX XMLCite \textit{G. Barles} et al., Methods Appl. Anal. 16, No. 3, 321--340 (2009; Zbl 1204.35027) Full Text: DOI arXiv Euclid
Perthame, Benoit; Barles, Guy Dirac concentrations in Lotka-Volterra parabolic PDEs. (English) Zbl 1172.35005 Indiana Univ. Math. J. 57, No. 7, 3275-3302 (2008). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K57 49L25 92D15 45K05 35B40 92D25 PDFBibTeX XMLCite \textit{B. Perthame} and \textit{G. Barles}, Indiana Univ. Math. J. 57, No. 7, 3275--3302 (2008; Zbl 1172.35005) Full Text: DOI arXiv
Barles, Guy; Perthame, Benoît Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. (English) Zbl 1137.49027 Danielli, Donatella (ed.), Recent developments in nonlinear partial differential equations. Proceedings of the second symposium on analysis and PDEs, West Lafayette, IN, USA, June 7–10, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3740-5/pbk). Contemporary Mathematics 439, 57-68 (2007). MSC: 49L25 35B25 92D15 92D25 PDFBibTeX XMLCite \textit{G. Barles} and \textit{B. Perthame}, Contemp. Math. 439, 57--68 (2007; Zbl 1137.49027)
Barles, G.; Perthame, B. Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. (English) Zbl 0691.49028 Appl. Math. Optimization 21, No. 1, 21-44 (1990). MSC: 49L99 35B05 35B25 PDFBibTeX XMLCite \textit{G. Barles} and \textit{B. Perthame}, Appl. Math. Optim. 21, No. 1, 21--44 (1990; Zbl 0691.49028) Full Text: DOI
Barles, G.; Perthame, B. Exit time problems in optimal control and vanishing viscosity method. (English) Zbl 0674.49027 SIAM J. Control Optimization 26, No. 5, 1133-1148 (1988). Reviewer: R.Gonzalez MSC: 49L99 35F30 91A23 49K35 49J40 91A99 49L20 35B25 PDFBibTeX XMLCite \textit{G. Barles} and \textit{B. Perthame}, SIAM J. Control Optim. 26, No. 5, 1133--1148 (1988; Zbl 0674.49027) Full Text: DOI
Barles, G.; Perthame, B. Discontinuous solutions of deterministic optimal stopping time problems. (English) Zbl 0629.49017 RAIRO, Modélisation Math. Anal. Numér. 21, 557-579 (1987). Reviewer: E.Barron MSC: 49L20 35F20 49J40 60G40 35D05 49J45 PDFBibTeX XMLCite \textit{G. Barles} and \textit{B. Perthame}, RAIRO, Modélisation Math. Anal. Numér. 21, 557--579 (1987; Zbl 0629.49017) Full Text: DOI EuDML