Ishii, Hitoshi; Mitake, Hiroyoshi; Tran, Hung V. The vanishing discount problem and viscosity Mather measures. II: Boundary value problems. (English. French summary) Zbl 1375.35183 J. Math. Pures Appl. (9) 108, No. 3, 261-305 (2017). MSC: 35J60 35J70 35A15 PDF BibTeX XML Cite \textit{H. Ishii} et al., J. Math. Pures Appl. (9) 108, No. 3, 261--305 (2017; Zbl 1375.35183) Full Text: DOI
Ishii, Hitoshi; Mitake, Hiroyoshi; Tran, Hung V. The vanishing discount problem and viscosity Mather measures. 1: The problem on a torus. (English. French summary) Zbl 1375.35182 J. Math. Pures Appl. (9) 108, No. 2, 125-149 (2017). MSC: 35J60 35J70 35A15 PDF BibTeX XML Cite \textit{H. Ishii} et al., J. Math. Pures Appl. (9) 108, No. 2, 125--149 (2017; Zbl 1375.35182) 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
Ishii, Hitoshi; Mitake, Hiroyoshi Two remarks on periodic solutions of Hamilton-Jacobi equations. (English) Zbl 1184.35017 Du, Yihong (ed.) et al., Recent progress on reaction-diffusion systems and viscosity solutions. Based on the international conference on reaction-diffusion systems and viscosity solutions, Taichung, Taiwan, January 3–6, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-473-7/hbk). 97-119 (2009). MSC: 35B10 35F21 PDF BibTeX XML Cite \textit{H. Ishii} and \textit{H. Mitake}, in: Recent progress on reaction-diffusion systems and viscosity solutions. Based on the international conference on reaction-diffusion systems and viscosity solutions, Taichung, Taiwan, January 3--6, 2007. Hackensack, NJ: World Scientific. 97--119 (2009; Zbl 1184.35017)
Ishii, Hitoshi; Mitake, Hiroyoshi Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians. (English) Zbl 1136.35016 Indiana Univ. Math. J. 56, No. 5, 2159-2183 (2007). MSC: 35F30 35C99 35F20 PDF BibTeX XML Cite \textit{H. Ishii} and \textit{H. Mitake}, Indiana Univ. Math. J. 56, No. 5, 2159--2183 (2007; Zbl 1136.35016) Full Text: DOI