Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo The selection problem for some first-order stationary mean-field games. (English) Zbl 07291696 Netw. Heterog. Media 15, No. 4, 681-710 (2020). MSC: 35Q91 35A01 49L25 91A07 35B40 35D30 35B35 PDF BibTeX XML Cite \textit{D. A. Gomes} et al., Netw. Heterog. Media 15, No. 4, 681--710 (2020; Zbl 07291696) Full Text: DOI
Jing, Wenjia; Mitake, Hiroyoshi; Tran, Hung V. Generalized ergodic problems: existence and uniqueness structures of solutions. (English) Zbl 1430.35052 J. Differ. Equations 268, No. 6, 2886-2909 (2020). MSC: 35F21 35B10 35B27 35B40 35D40 49L25 PDF BibTeX XML Cite \textit{W. Jing} et al., J. Differ. Equations 268, No. 6, 2886--2909 (2020; Zbl 1430.35052) Full Text: DOI arXiv
Mitake, Hiroyoshi; Tran, Hung V. On uniqueness sets of additive eigenvalue problems and applications. (English) Zbl 1401.37069 Proc. Am. Math. Soc. 146, No. 11, 4813-4822 (2018). Reviewer: Stepan Agop Tersian (Rousse) MSC: 37J50 49L25 35B40 PDF BibTeX XML Cite \textit{H. Mitake} and \textit{H. V. Tran}, Proc. Am. Math. Soc. 146, No. 11, 4813--4822 (2018; Zbl 1401.37069) Full Text: DOI arXiv
Mitake, Hiroyoshi; Soga, Kohei Weak KAM theory for discounted Hamilton-Jacobi equations and its application. (English) Zbl 1403.35083 Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 78, 1-32 (2018). MSC: 35F21 35B40 37J50 49L25 37K55 35D40 PDF BibTeX XML Cite \textit{H. Mitake} and \textit{K. Soga}, Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 78, 1--32 (2018; Zbl 1403.35083) Full Text: DOI
Gomes, Diogo A.; Mitake, Hiroyoshi; Tran, Hung V. The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases. (English) Zbl 1403.35082 J. Math. Soc. Japan 70, No. 1, 345-364 (2018). MSC: 35F21 35B40 37J50 49L25 PDF BibTeX XML Cite \textit{D. A. Gomes} et al., J. Math. Soc. Japan 70, No. 1, 345--364 (2018; Zbl 1403.35082) Full Text: DOI arXiv
Le, Nam Q.; Mitake, Hiroyoshi; Tran, Hung V. Large time asymptotics of Hamilton-Jacobi equations. (English) Zbl 1382.35040 Mitake, Hiroyoshi (ed.) et al., Dynamical and geometric aspects of Hamilton-Jacobi and linearized Monge-Ampére equations. VIASM 2016. Based on lectures at the Rutgers University, NJ, USA, 2013. Cham: Springer (ISBN 978-3-319-54207-2/pbk; 978-3-319-54208-9/ebook). Lecture Notes in Mathematics 2183, 141-176 (2017). Reviewer: Christopher Policastro (Berkeley) MSC: 35B40 35D40 35F21 49R99 PDF BibTeX XML Cite \textit{N. Q. Le} et al., Lect. Notes Math. 2183, 141--176 (2017; Zbl 1382.35040) Full Text: DOI
Mitake, Hiroyoshi; Tran, Hung V. Selection problems for a discount degenerate viscous Hamilton-Jacobi equation. (English) Zbl 1357.35090 Adv. Math. 306, 684-703 (2017). MSC: 35F21 35B40 37J50 49L25 PDF BibTeX XML Cite \textit{H. Mitake} and \textit{H. V. Tran}, Adv. Math. 306, 684--703 (2017; Zbl 1357.35090) Full Text: DOI
Mitake, H.; Tran, H. V. Weakly coupled systems of the infinity Laplace equations. (English) Zbl 1359.35054 Trans. Am. Math. Soc. 369, No. 3, 1773-1795 (2017). Reviewer: Marius Ghergu (Dublin) MSC: 35J47 35D40 35J70 49L20 PDF BibTeX XML Cite \textit{H. Mitake} and \textit{H. V. Tran}, Trans. Am. Math. Soc. 369, No. 3, 1773--1795 (2017; Zbl 1359.35054) Full Text: DOI
Mitake, H.; Siconolfi, A.; Tran, H. V.; Yamada, N. A Lagrangian approach to weakly coupled Hamilton-Jacobi systems. (English) Zbl 1343.35065 SIAM J. Math. Anal. 48, No. 2, 821-846 (2016). MSC: 35F21 35F50 49L25 37K55 PDF BibTeX XML Cite \textit{H. Mitake} et al., SIAM J. Math. Anal. 48, No. 2, 821--846 (2016; Zbl 1343.35065) Full Text: DOI arXiv
Mitake, Hiroyoshi; Tran, Hung V. Large-time behavior for obstacle problems for degenerate viscous Hamilton-Jacobi equations. (English) Zbl 1327.35065 Calc. Var. Partial Differ. Equ. 54, No. 2, 2039-2058 (2015). MSC: 35F21 35B40 35F55 49L25 PDF BibTeX XML Cite \textit{H. Mitake} and \textit{H. V. Tran}, Calc. Var. Partial Differ. Equ. 54, No. 2, 2039--2058 (2015; Zbl 1327.35065) Full Text: DOI arXiv
Cagnetti, Filippo; Gomes, Diogo; Mitake, Hiroyoshi; Tran, Hung V. A new method for large time behavior of degenerate viscous Hamilton-Jacobi equations with convex Hamiltonians. (English) Zbl 1312.35020 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 183-200 (2015). MSC: 35B40 35F55 49L25 35F21 35K65 35D40 PDF BibTeX XML Cite \textit{F. Cagnetti} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 183--200 (2015; Zbl 1312.35020) Full Text: DOI arXiv
Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations. (English) Zbl 1286.35074 Trans. Am. Math. Soc. 366, No. 4, 1905-1941 (2014). MSC: 35F21 35B40 35F25 35F30 49L25 35D40 PDF BibTeX XML Cite \textit{Y. Giga} et al., Trans. Am. Math. Soc. 366, No. 4, 1905--1941 (2014; Zbl 1286.35074) Full Text: DOI
Mitake, H.; Tran, H. V. A dynamical approach to the large-time behavior of solutions to weakly coupled systems of Hamilton-Jacobi equations. (English) Zbl 1278.35020 J. Math. Pures Appl. (9) 101, No. 1, 76-93 (2014). MSC: 35B40 35F55 49L25 35F61 35F21 35Q93 35D40 PDF BibTeX XML Cite \textit{H. Mitake} and \textit{H. V. Tran}, J. Math. Pures Appl. (9) 101, No. 1, 76--93 (2014; Zbl 1278.35020) Full Text: DOI
Barles, Guy; Ishii, Hitoshi; Mitake, Hiroyoshi A new PDE approach to the large time asymptotics of solutions of Hamilton-Jacobi equations. (English) Zbl 1284.35065 Bull. Math. Sci. 3, No. 3, 363-388 (2013). MSC: 35B40 35F21 35D40 35F31 49L25 PDF BibTeX XML Cite \textit{G. Barles} et al., Bull. Math. Sci. 3, No. 3, 363--388 (2013; Zbl 1284.35065) Full Text: DOI
Barles, Guy; Ishii, Hitoshi; Mitake, Hiroyoshi On the large time behavior of solutions of Hamilton-Jacobi equations associated with nonlinear boundary conditions. (English) Zbl 1282.70037 Arch. Ration. Mech. Anal. 204, No. 2, 515-558 (2012). MSC: 70H20 35Q70 49L25 PDF BibTeX XML Cite \textit{G. Barles} et al., Arch. Ration. Mech. Anal. 204, No. 2, 515--558 (2012; Zbl 1282.70037) Full Text: DOI arXiv
Barles, Guy; Ley, Olivier; Mitake, Hiroyoshi Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations. (English) Zbl 1246.35013 Math. Ann. 352, No. 2, 409-451 (2012). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35A02 35K15 49L25 45K05 53C44 35D40 35R09 PDF BibTeX XML Cite \textit{G. Barles} et al., Math. Ann. 352, No. 2, 409--451 (2012; Zbl 1246.35013) Full Text: DOI
Giga, Yoshikazu; Liu, Qing; Mitake, Hiroyoshi Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians. (English) Zbl 1230.35038 J. Differ. Equations 252, No. 2, 1263-1282 (2012). MSC: 35F31 35B40 35F21 49L25 PDF BibTeX XML Cite \textit{Y. Giga} et al., J. Differ. Equations 252, No. 2, 1263--1282 (2012; Zbl 1230.35038) Full Text: DOI
Mitake, Hiroyoshi Asymptotic solutions of Hamilton-Jacobi equations with state constraints. (English) Zbl 1178.35137 Appl. Math. Optim. 58, No. 3, 393-410 (2008). MSC: 35F25 49L25 35B40 PDF BibTeX XML Cite \textit{H. Mitake}, Appl. Math. Optim. 58, No. 3, 393--410 (2008; Zbl 1178.35137) Full Text: DOI