
{"id":1874,"date":"2021-10-11T10:40:03","date_gmt":"2021-10-11T01:40:03","guid":{"rendered":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/?p=1874"},"modified":"2023-04-15T23:49:06","modified_gmt":"2023-04-15T14:49:06","slug":"%ec%9d%b4-%eb%ac%b8%ec%a0%9c%eb%a5%bc-%ed%92%80%ec%96%b4%ec%a3%bc%ec%84%b8%ec%9a%94","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/sdyang\/%ec%9d%b4-%eb%ac%b8%ec%a0%9c%eb%a5%bc-%ed%92%80%ec%96%b4%ec%a3%bc%ec%84%b8%ec%9a%94\/","title":{"rendered":"\uc774 \ubb38\uc81c\ub97c \ud480\uc5b4\uc8fc\uc138\uc694."},"content":{"rendered":"\n<p>\ub2e4\uc74c \ubb38\uc81c\ub294 \uc624\ub7ab\ub3d9\uc548 (2021\ub144 10\uc6d4 \ud604\uc7ac \uc57d 7\ub144?) \uc800\ub97c \uad34\ub86d\ud788\ub294 \ubb38\uc81c\uc785\ub2c8\ub2e4. \ud639\uc2dc \uc544\ubb34\ub77c\ub3c4 \uc88b\uc740 \ud574\ubc95\uc744 \uc54c\ub824\uc8fc\uba74 \uac10\uc0ac\ud558\uaca0\uc2b5\ub2c8\ub2e4. <\/p>\n\n\n\n<p>\ubb38\uc81c) \uacf5\uac04\uc758 \uc88c\ud45c\ub97c $xyt$\ub85c \ub098\ud0c0\ub0b4\uc790. \uc774\ubcc0\uc218 \ud568\uc218 $t=f(x,y)$\uc5d0 \ub300\ud55c \ub2e4\uc74c \ud3b8\ubbf8\ubd84\ubc29\uc815\uc2dd\uc758 \uc218\uce58\ud574\ub97c \uad6c\ud558\uc5ec\ub77c. <br>$$<br>     (1- f_{y}^2) f_{xx} + 2 f_x f_y f_{xy} + (1-f_{x}^2) f_{yy} =0,      \\qquad 0 \\le x,y \\le 1.<br>$$<br>\ub2e8 \ub458\ub808\uc870\uac74\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4. \ubaa8\ub4e0 $s \\in (0,1)$\uc5d0 \ub300\ud558\uc5ec<br>$$<br>     f(s,0) = f(s,1) = 0, \\quad f(0,s) = f(1,s)=1 <br>$$<br>\uc774 \ud568\uc218\ub294 3\ucc28\uc6d0 \ub85c\ub80c\ucbd4 \uacf5\uac04\uc758 \ud55c 0\ud3c9\uade0\uace1\ub960\uace1\uba74\uc744 \ub098\ud0c0\ub0b8\ub2e4. <\/p>\n\n\n\n<p>\ucc38\uace0 2) \uc774 \ubb38\uc81c\uc758 \ud574\ub294 \uc874\uc7ac\ud558\ub098 \uc720\uc77c\ud55c \uc9c0, \uc548\uc815\uc801\uc778\uc9c0\ub294 \uc798 \ubaa8\ub985\ub2c8\ub2e4. \uc874\uc7ac\ud558\ub294 \ud574\ub294 \ub2e4\uc74c \ub17c\ubb38\uc5d0 \uc788\uc2b5\ub2c8\ub2e4. <br><br>[1] Shoichi Fujimori, Wayne Rossman, Masaaki Umehara, Kotaro Yamada, &amp; Seong-Deog Yang, Embedded Triply Periodic Zero Mean Curvature Surfaces of Mixed Type in Lorentz-Minkowski 3-Space, Michigan Math. J. 63 (2014), 189\u2013207, 8\ucabd \uadf8\ub9bc 8, 9. <br><br>\uc800\uc791\uc6d0 \ubb38\uc81c\ub85c \uadf8\ub9bc\uc744 \uc62c\ub824\ub3c4 \ub418\ub294\uc9c0 \uc798 \ubab0\ub77c\uc11c \ub17c\ubb38\uc5d0 \uc788\ub294 \uadf8\ub9bc\uc740 \uc548 \uc62c\ub9bd\ub2c8\ub2e4. \ub2e4\uc74c\uc740 \uae40\uc900\uc11d \uad50\uc218\ub2d8\uc774 \uc2dc\ub3c4\ud558\uc2e0 \ud574\uc785\ub2c8\ub2e4. \uadf8\ubb3c\ub208\uc758 \ud06c\uae30\ub97c \ub354 \uc904\uc774\uba74 \uadf8\ub9bc\uc774 \ud130\uc9c4\ub2e4\uace0 \ud558\uc2dc\ub124\uc694.  \uc989, \ub9e4\ub044\ub7ec\uc6b4 \uace1\uba74\uc744 \uc5bb\uc744 \uc218 \uc5c6\uc5c8\uc2b5\ub2c8\ub2e4. \ucc38, \uc774 PDE\ub294 \ud0c0\uc6d0\ud615\uacfc \uc30d\uace1\ud615\uc774 \uc11e\uc5ec\uc788\ub294 \ud3b8\ubbf8\ubd84\ubc29\uc815\uc2dd\uc785\ub2c8\ub2e4. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"876\" height=\"640\" src=\"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/uploads\/sites\/3\/2021\/10\/YangL.jpg\" alt=\"\" class=\"wp-image-1888\" srcset=\"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/uploads\/sites\/3\/2021\/10\/YangL.jpg 876w, https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/uploads\/sites\/3\/2021\/10\/YangL-300x219.jpg 300w, https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/uploads\/sites\/3\/2021\/10\/YangL-768x561.jpg 768w\" sizes=\"auto, (max-width: 876px) 100vw, 876px\" \/><\/figure>\n\n\n\n<p><br>\ucc38\uace0 1) \uc774 \ubb38\uc81c\uc5d0 \ub300\ud55c \uc720\ud074\ub9ac\ub4dc \uacf5\uac04 \ubc84\uc804\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<br>\uacf5\uac04\uc758 \uc88c\ud45c\ub97c $xyz$\ub85c \ub098\ud0c0\ub0b4\uc790. \uc774\uc81c \uc774 \uc774\ubcc0\uc218 \ud568\uc218 $z=f(x,y)$\uc5d0 \ub300\ud558\uc5ec \ub2e4\uc74c \ud568\uc218\uc758 \uc218\uce58\ud574\ub97c \uad6c\ud558\uc5ec\ub77c.<br>$$<br>(1+ f_{y}^2) f_{xx} &#8211; 2 f_x f_y f_{xy} + (1+f_{x}^2) f_{yy} =0, \\qquad 0 \\le x,y \\le 1.<br>$$<br>\ub2e8 \ub458\ub808\uc870\uac74\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4. \ubaa8\ub4e0 $s \\in (0,1)$\uc5d0 \ub300\ud558\uc5ec<br>$$<br>f(s,0) = f(s,1) = 0, \\quad f(0,s) = f(1,s)=1<br>$$<br>\uc774 \ud568\uc218\ub294 3\ucc28\uc6d0 \uc720\ud074\ub9ac\ub4dc \uacf5\uac04\uc758 \ud55c \uadf9\uc18c\uace1\uba74\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"876\" height=\"640\" src=\"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/uploads\/sites\/3\/2021\/10\/YangMinimal.jpg\" alt=\"\" class=\"wp-image-1889\" srcset=\"https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/uploads\/sites\/3\/2021\/10\/YangMinimal.jpg 876w, https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/uploads\/sites\/3\/2021\/10\/YangMinimal-300x219.jpg 300w, https:\/\/mathematicians.korea.ac.kr\/sdyang\/wp-content\/uploads\/sites\/3\/2021\/10\/YangMinimal-768x561.jpg 768w\" sizes=\"auto, (max-width: 876px) 100vw, 876px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>\ub2e4\uc74c \ubb38\uc81c\ub294 \uc624\ub7ab\ub3d9\uc548 (2021\ub144 10\uc6d4 \ud604\uc7ac \uc57d 7\ub144?) \uc800\ub97c \uad34\ub86d\ud788\ub294 \ubb38\uc81c\uc785\ub2c8\ub2e4. \ud639\uc2dc \uc544\ubb34\ub77c\ub3c4 \uc88b\uc740 \ud574\ubc95\uc744 \uc54c\ub824\uc8fc\uba74 \uac10\uc0ac\ud558\uaca0\uc2b5\ub2c8\ub2e4. \ubb38\uc81c) \uacf5\uac04\uc758 \uc88c\ud45c\ub97c $xyt$\ub85c \ub098\ud0c0\ub0b4\uc790. \uc774\ubcc0\uc218 \ud568\uc218 $t=f(x,y)$\uc5d0 \ub300\ud55c \ub2e4\uc74c \ud3b8\ubbf8\ubd84\ubc29\uc815\uc2dd\uc758 \uc218\uce58\ud574\ub97c \uad6c\ud558\uc5ec\ub77c. $$ (1- f_{y}^2) f_{xx} + 2 f_x f_y f_{xy} + (1-f_{x}^2) f_{yy} =0, \\qquad 0 \\le x,y \\le 1.$$\ub2e8 \ub458\ub808\uc870\uac74\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4. \ubaa8\ub4e0 $s \\in [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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