On a Generalization of Monge–Ampère Equations and Monge–Ampère Systems

Author:

Kawamata Masahiro1,Shibuya Kazuhiro2

Affiliation:

1. Graduate School of Science, Hiroshima University, 1–3–1 Kagamiyama, Higashi-Hiroshima 739–8526, Japan.

2. Graduate School of Advanced Science and Engineering, Hiroshima University, 1–3–1 Kagamiyama, Higashi-Hiroshima 739–8526, Japan.

Publisher

Tokyo Journal of Mathematics

Subject

General Mathematics

Reference19 articles.

1. [1] Alexei Kushner, Valentin Lychagin and Vladimir Rubtsov, Contact geometry and non-linear differential equations, Vol. 101 of Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, 2007.

2. [2] V. V. Lychagin, V. N. Rubtsov and I. V. Chekalov, A classification of Monge-Ampere equations, Ann. Sci. Ecole Norm. Sup. (4), Vol. 26, No. 3 (1993), 281–308.

3. [3] Tohru Morimoto, Monge-Ampère equations viewed from contact geometry, In Symplectic singularities and geometry of gauge fields (Warsaw, 1995), Vol. 39 (1997) of Banach Center Publ., 105–121. Polish Acad. Sci. Inst. Math., Warsaw.

4. [4] Guy Boillat, Sur l’équation générale de Monge-Ampère à plusieurs variables, C. R. Acad. Sci. Paris Sér. I Math., Vol. 313, No. 11 (1991), 805–808.

5. [5] E. V. Ferapontov, B. Kruglikov and V. Novikov, Integrability of dispersionless Hirota-type equations and the symplectic Monge–Ampere property, International Mathematics Research Notices, No. 3 (2020), 281–308.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3