{"id":70065,"date":"2019-10-07T10:12:24","date_gmt":"2019-10-07T01:12:24","guid":{"rendered":"https:\/\/www.waseda.jp\/inst\/research\/?p=70065"},"modified":"2019-10-07T13:32:48","modified_gmt":"2019-10-07T04:32:48","slug":"%e7%ac%ac1%e5%9b%9e%e6%97%a5%e6%9c%ac%e6%95%b0%e5%ad%a6%e4%bc%9a%e8%b3%9e%e5%b0%8f%e5%b9%b3%e9%82%a6%e5%bd%a6%e8%b3%9e%e3%80%81%e6%9c%ac%e5%ad%a6%e3%81%ae%e7%9f%b3%e4%ba%95%e4%bb%81%e5%8f%b8%e5%90%8d","status":"publish","type":"post","link":"https:\/\/www.waseda.jp\/inst\/research\/news\/70065","title":{"rendered":"\u7b2c1\u56de\u65e5\u672c\u6570\u5b66\u4f1a\u8cde\u5c0f\u5e73\u90a6\u5f66\u8cde\u3001\u672c\u5b66\u306e\u77f3\u4e95\u4ec1\u53f8\u540d\u8a89\u6559\u6388\u304c\u53d7\u8cde"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-70066\" src=\"https:\/\/www.waseda.jp\/inst\/research\/assets\/uploads\/2019\/10\/zilyusilyou1-610x440.png\" alt=\"\" width=\"750\" height=\"541\" 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id=\"attachment_70067\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-70067\" src=\"https:\/\/www.waseda.jp\/inst\/research\/assets\/uploads\/2019\/10\/zilyusilyou2.png\" alt=\"\" width=\"750\" height=\"1035\" \/><p class=\"wp-caption-text\">\u6388\u8cde\u5f0f\u30fb\u53d7\u8cde\u8b1b\u6f14\u4f1a\u3067\u3001\u7814\u7a76\u306b\u3064\u3044\u3066\u89e3\u8aac\u3059\u308b\u77f3\u4e95\u5148\u751f\u3000\u63d0\u4f9b\uff1a\u65e5\u672c\u6570\u5b66\u4f1a\u3001\u64ae\u5f71\uff1a\u6cb3\u91ce\u88d5\u662d\u6c0f<\/p><\/div>\n<div id=\"attachment_70068\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-70068\" src=\"https:\/\/www.waseda.jp\/inst\/research\/assets\/uploads\/2019\/10\/zilyusilyou3-610x407.png\" alt=\"\" width=\"750\" height=\"500\" srcset=\"https:\/\/www.waseda.jp\/inst\/research\/assets\/uploads\/2019\/10\/zilyusilyou3-610x407.png 610w, https:\/\/www.waseda.jp\/inst\/research\/assets\/uploads\/2019\/10\/zilyusilyou3-768x512.png 768w, https:\/\/www.waseda.jp\/inst\/research\/assets\/uploads\/2019\/10\/zilyusilyou3-940x627.png 940w, https:\/\/www.waseda.jp\/inst\/research\/assets\/uploads\/2019\/10\/zilyusilyou3.png 1123w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><p class=\"wp-caption-text\">\u6388\u8cde\u5f0f\u3067\u5bfa\u6763\u7406\u4e8b\u9577\u3088\u308a\u8868\u5f70\u3055\u308c\u308b\u77f3\u4e95\u5148\u751f\u3000\u63d0\u4f9b\uff1a\u65e5\u672c\u6570\u5b66\u4f1a\u3001\u64ae\u5f71\uff1a\u6cb3\u91ce\u88d5\u662d\u6c0f<\/p><\/div>\n<h4>\u77f3\u4e95\u4ec1\u53f8\u540d\u8a89\u6559\u6388\u306e\u4e3b\u306a\u696d\u7e3e<\/h4>\n<p><strong>\u4e3b\u8981\u8ad6\u6587<\/strong><\/p>\n<ul>\n<li>Michael G.Crandall,Hitoshi Ishii, Pierre-Louis Lions, User&#8217;s guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 1, 1\u201367.<\/li>\n<li>Hitoshi Ishii,Perron&#8217;s method for Hamilton-Jacobi equations.Duke Math. J. 55 (1987), no. 2, 369\u2013384.<\/li>\n<li>Hitoshi Ishii,On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs. Comm. Pure Appl. Math. 42 (1989), no. 1, 15\u201345.<\/li>\n<li>Hitoshi Ishii, Pierre-Louis Lions, Viscosity solutions of fully nonlinear second-order elliptic partial differential equations. J. Differential Equations 83 (1990), no. 1, 26\u201378.<\/li>\n<li>Paul Dupuis, Hitoshi Ishii, On Lipschitz continuity of the solution mapping to the Skorokhod problem, with applications. Stochastics Stochastics Rep. 35 (1991), no. 1, 31\u201362.<\/li>\n<li>Hitoshi Ishii, Hiroyoshi Mitake, Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians. Indiana Univ. Math. J. 56 (2007), no. 5, 2159\u20132183.<\/li>\n<li>Hitoshi Ishii, Hiroyoshi Mitake, Hung V.Tran, The vanishing discount problem and viscosity Mather measures. Part 1: The problem on a torus. J. Math. Pures Appl. (9) 108 (2017), no. 2, 125\u2013149.<\/li>\n<\/ul>\n<p><strong>\u4e3b\u8981\u8b1b\u6f14<\/strong><\/p>\n<ul>\n<li>\u56fd\u969b\u6570\u5b66\u8005\u4f1a\u8b70 ICM Madrid 2006 \u62db\u5f85\u8b1b\u6f14 \uff082006\u5e749\u6708\u30b9\u30da\u30a4\u30f3\u30fb\u30de\u30c9\u30ea\u30c3\u30c9\uff09<\/li>\n<li>\u5fdc\u7528\u6570\u7406\u56fd\u969b\u4f1a\u8b70 ICIAM 2007 \u62db\u5f85\u8b1b\u6f14 \uff082007\u5e747\u6708\u30b9\u30a4\u30b9\u30fb\u30c1\u30e5\u30fc\u30ea\u30c3\u30d2\uff09<\/li>\n<li>Coll\u00e8ge de France \u62db\u5f85\u8b1b\u6f14 \uff082011\u5e741\u6708 \u30d5\u30e9\u30f3\u30b9\u30fb\u30d1\u30ea\uff09<\/li>\n<li>Rivi\u00e8re-Fabes Symposium 2011 \u62db\u5f85\u8b1b\u6f14 \uff082011\u5e744\u6708 \u7c73\u56fd\u30df\u30cd\u30bd\u30bf\u5927\u5b66\uff09<\/li>\n<li>\u65e5\u672c\u6570\u5b66\u4f1a70\u5468\u5e74\u8a18\u5ff5\u8b1b\u6f14 \uff082016\u5e749\u6708 \u95a2\u897f\u5927\u5b66\uff09<\/li>\n<li>Wolfgang Wasow Lectures \uff082018\u5e744\u6708 \u7c73\u56fd\u30a6\u30a3\u30b9\u30b3\u30f3\u30b7\u30f3\u5927\u5b66\u30de\u30c7\u30a3\u30bd\u30f3\u6821\uff09<\/li>\n<\/ul>\n<h4>\u53c2\u7167URL<\/h4>\n<p><a href=\"http:\/\/mathsoc.jp\/prize\/kodaira\/\">\u65e5\u672c\u6570\u5b66\u4f1a\u8cde\u5c0f\u5e73\u90a6\u5f66\u8cde\u306b\u3064\u3044\u3066<\/a><br \/>\n<a href=\"https:\/\/www.waseda.jp\/fsss\/iass\/news\/2019\/03\/18\/768\/\">\u65e9\u7a32\u7530\u5927\u5b66 \u5148\u7aef\u793e\u4f1a\u79d1\u5b66\u7814\u7a76\u6240<\/a><br \/>\n<a href=\"https:\/\/www.waseda.jp\/inst\/sgu\/unit\/physics-and-mathematics\/\">\u30b9\u30fc\u30d1\u30fc\u30b0\u30ed\u30fc\u30d0\u30eb\u5927\u5b66\u5275\u6210\u652f\u63f4\u300cWaseda Ocean\u69cb\u60f3\u300d\u6570\u7269\u7cfb\u79d1\u5b66\u62e0\u70b9<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2019\u5e74\u5ea6\u3001\u77f3\u4e95\u4ec1\u53f8 \u540d\u8a89\u6559\u6388(\u6559\u80b2\u30fb\u7dcf\u5408\u79d1\u5b66\u5b66\u8853\u9662)\u304c\u300c\u7b2c1\u56de\u65e5\u672c\u6570\u5b66\u4f1a\u8cde\u5c0f\u5e73\u90a6\u5f66\u8cde\u300d\u3092\u53d7\u8cde\u3055\u308c\u307e\u3057\u305f\u3002 \u65e5\u672c\u6570\u5b66\u4f1a\u8cde\u5c0f\u5e73\u90a6\u5f66\u8cde\u306f\u3001\u65e5\u672c\u4eba\u521d\u306e\u30d5\u30a3\u30fc\u30eb\u30ba\u8cde\u53d7\u8cde\u8005\u3067\u3042\u308b\u5c0f\u5e73\u6c0f\u3092\u8a18\u5ff5\u3057\u3001\u751f\u6daf\u306b\u308f\u305f\u308b\u6570\u5b66\u306b\u95a2\u3059\u308b\u512a\u308c\u305f\u696d\u7e3e [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":70069,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[145,178],"class_list":["post-70065","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news","tag-pressrelease","tag-research"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/posts\/70065","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/comments?post=70065"}],"version-history":[{"count":0,"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/posts\/70065\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/media\/70069"}],"wp:attachment":[{"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/media?parent=70065"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/categories?post=70065"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/research\/wp-json\/wp\/v2\/tags?post=70065"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}