{"id":1220,"date":"2024-10-23T13:22:29","date_gmt":"2024-10-23T04:22:29","guid":{"rendered":"https:\/\/dept.tus.ac.jp\/st-ma\/?p=1220"},"modified":"2024-11-18T22:49:14","modified_gmt":"2024-11-18T13:49:14","slug":"1220","status":"publish","type":"post","link":"https:\/\/dept.tus.ac.jp\/st-ma\/2024\/10\/23\/1220\/","title":{"rendered":"2024.11.18\u8ac7\u8a71\u4f1a"},"content":{"rendered":"\n<figure class=\"wp-block-table td_to_th_\"><table><tbody style=\"--tbody-th-color--bg:var(--color_main);--tbody-th-color--txt:var(--swl-text_color--white)\"><tr><td>\u8b1b\u6f14\u8005\u6c0f\u540d<\/td><td>\u6c60\u7560\u826f\u6c0f\uff08\u5e83\u5cf6\u5927\u5b66\uff09<\/td><\/tr><tr><td>\u8b1b\u6f14\u984c\u76ee<\/td><td>\u300c\u6ce2\u52d5\u65b9\u7a0b\u5f0f\u306e\\(L^{2}\\)-\u5897\u5927\u8a55\u4fa1\u3068\u95a2\u9023\u3059\u308b\u8a71\u984c\u300d<\/td><\/tr><tr><td>\u65e5\u6642<\/td><td>2024\u5e7411\u670818\u65e5\uff08\u6708\uff09 16:30\uff5e17:30<\/td><\/tr><tr><td>\u5834\u6240<\/td><td>\u6771\u4eac\u7406\u79d1\u5927\u5b66\u91ce\u7530\u30ad\u30e3\u30f3\u30d1\u30b94\u53f7\u99283\u968e\u6570\u7406\u79d1\u5b66\u79d1\u30bb\u30df\u30ca\u30fc\u5ba4<\/td><\/tr><tr><td><strong>\u6982\u8981<\/strong><\/td><td>\u6ce2\u52d5\u65b9\u7a0b\u5f0f$u_{tt}-\\Delta u = 0$\u306e\u521d\u671f\u5024\u554f\u984c\u3092\u7a7a\u95931\uff0c2\u6b21\u5143\u3067\u8003\u5bdf\u3059\u308b\u3002\u305f\u3060\u3057, $u=u(t,x)$, $u_{tt} = \\frac{\\partial^{2}u}{\\partial t^{2}}$, $\\Delta := \\sum_{j=1}^{n}\\frac{\\partial^{2}}{\\partial x_{j}^{2}}$ ($n$\u306f\u7a7a\u9593\u6b21\u5143\u3092\u8868\u3059)\u3002 \u307e\u305a\u306f\u5c0e\u5165\u3068\u3057\u30662003\u5e74\u4f4d\u304b\u3089\u7d30\u3005\u3068\u7814\u7a76\u3057\u7d9a\u3051\u3066\u304d\u305f\u5c40\u6240\u30a8\u30cd\u30eb\u30ae\u30fc\u6e1b\u8870\u8a55\u4fa1\u5f0f\u3092\u5f97\u308b\u969b\u306b, \u521d\u671f\u5024\u306e\u30b5\u30dd\u30fc\u30c8\u306e\u30b5\u30a4\u30ba\u306b\u4f9d\u3089\u306a\u3044\u8a55\u4fa1\u3092\u5f97\u308b\u5de5\u592b\u306b\u304a\u3044\u3066<br>\u5982\u4f55\u306b\u89e3\u81ea\u8eab\u306e$L^{2}$-\u6709\u754c\u6027\u304c\u672c\u8cea\u7684\u304b\u3092\u6ce8\u610f\u3059\u308b\u3002\u3061\u306a\u307f\u306b, C. Morawetz \u306b\u3088\u308b\u7a7a\u9593$3$\u6b21\u5143\u3067\u306e\u5148\u884c\u7814\u7a76\u306b\u304a\u3044\u3066\u306f, \u521d\u671f\u5024\u306e\u30b5\u30dd\u30fc\u30c8\u306e\u30b3\u30f3\u30d1\u30af\u30c8\u6027\u304c\u672c\u8cea\u7684\u306b\u52b9\u3044\u3066\u3044\u305f\u3053\u3068\u3092\u6307\u6458\u3057\u3066\u304a\u304f\u3002\u6b21\u306b, \u305d\u3046\u3044\u3046$L^{2}$-\u6709\u754c\u6027\u3092\u4f4e\u6b21\u5143\u3067\u5b9f\u884c\u3057\u3088\u3046\u3068\u3059\u308b\u3068Hardy\u578b\u4e0d\u7b49\u5f0f\u306e\u6b20\u5982\u306b\u3088\u308b\u56f0\u96e3\u306b\u51fa\u4f1a\u3046\u3002\u5f93\u3063\u3066, \u4f4e\u6b21\u5143\u3067\u306e\u5c40\u6240\u30a8\u30cd\u30eb\u30ae\u30fc\u6e1b\u8870\u554f\u984c\u306f\u672c\u8cea\u7684\u306b\u96e3\u3057\u3044\u3002\u8b1b\u6f14\u8005\u306f\u6700\u8fd1\u5c40\u6240\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u6e1b\u8870\u554f\u984c\u306b\u95a2\u9023\u3057\u3066, \u305d\u3046\u3044\u3046\u89e3\u306e$L^{2}$-&#8220;\u6709\u754c\u6027&#8221;\u3092\u5c0e\u51fa\u30fb\u7814\u7a76\u3092\u884c\u3046\u904e\u7a0b\u3067, \u601d\u3044\u3082\u304b\u3051\u305a\u89e3\u81ea\u8eab\u306e\u6700\u826f$L^{2}$-&#8220;\u5897\u5927&#8221;\u8a55\u4fa1\u5f0f\u3092\u5f97\u308b\u5e78\u904b\u306b\u6075\u307e\u308c\u305f\u3002&#8221;\u6700\u826f&#8221;\u3068\u306f\u4e0a\u304b\u3089\u3068\u4e0b\u304b\u3089\u306e(\u5341\u5206\u5927\u304d\u3044)\u6642\u9593\u306b\u3064\u3044\u3066\u306e\u540c\u3058\u30aa\u30fc\u30c0\u30fc\u3067\u306e\u8a55\u4fa1\u3092\u610f\u5473\u3059\u308b\u3002\u305d\u306e\u7d50\u679c\u306b\u3064\u3044\u3066\u5831\u544a\u3059\u308b\u4e88\u5b9a\u3067\u3042\u308b\u3002\u6642\u9593\u304c\u8a31\u305b\u3070, \u8a3c\u660e\u306e\u30a2\u30a6\u30c8\u30e9\u30a4\u30f3\u306b\u3064\u3044\u3066\u3082\u8a00\u53ca\u3059\u308b\u3002 \u3053\u3046\u3044\u3046\u4f4e\u6b21\u5143\u3067\u306e\u5897\u5927\u8a55\u4fa1\u306f\u4ed6\u306e\u69d8\u3005\u306a\u632f\u52d5\u3092\u4f34\u3046\u65b9\u7a0b\u5f0f\u3067\u3082\u6700\u8fd1\u983b\u7e41\u306b\u7814\u7a76\u30fb\u78ba\u8a8d\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3082\u6307\u6458\u3057\u3066\u304a\u304f\u3002<\/td><\/tr><tr><td>\u5099\u8003<\/td><td> \u5171\u50ac\uff1a\u6771\u4eac\u7406\u79d1\u5927\u5b66\u7dcf\u5408\u7814\u7a76\u9662\u6570\u7406\u89e3\u6790\u9023\u643a\u7814\u7a76\u90e8\u9580<br>\u5171\u50ac\uff1a\u5275\u57df\u306e\u82bd\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u300c\u6570\u7406\u79d1\u5b66\u79d1\u30c0\u30d6\u30eb\u30e9\u30dc\u306e\u7d99\u7d9a\u7684\u306a\u767a\u5c55\u300d <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"768\" src=\"\/upfiles\/sites\/23\/2024\/11\/unnamed-1024x768.jpg\" alt=\"\" class=\"wp-image-1257\" srcset=\"\/upfiles\/sites\/23\/2024\/11\/unnamed-1024x768.jpg 1024w, \/upfiles\/sites\/23\/2024\/11\/unnamed-300x225.jpg 300w, \/upfiles\/sites\/23\/2024\/11\/unnamed-768x576.jpg 768w, \/upfiles\/sites\/23\/2024\/11\/unnamed-1536x1152.jpg 1536w, \/upfiles\/sites\/23\/2024\/11\/unnamed-2048x1536.jpg 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>11\u670818\u65e5(\u6708)\u306b\u6c60\u7560\u826f\u6c0f\uff08\u5e83\u5cf6\u5927\u5b66\uff09\u306b\u3088\u308b\u8ac7\u8a71\u4f1a\u3092\u958b\u50ac\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":131,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"swell_btn_cv_data":"","footnotes":""},"categories":[16,15],"tags":[],"class_list":["post-1220","post","type-post","status-publish","format-standard","hentry","category-analysis2024","category-danwa2024"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.4 - 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