{"version":"1.0","title":"Laplace \u65b9\u7a0b\u5f0f","author_name":"derwind","height":"190","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2022%2F12%2F17%2F203615\" title=\"Laplace \u65b9\u7a0b\u5f0f - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","description":"$x = r \\cos \\theta$, $y = r \\sin \\theta$, $D = \\{x^2 + y^2 \u6955\u5186\u578b\u5883\u754c\u5024\u554f\u984c\u3092\u8003\u3048\u308b\u3002$$ \\begin{align*} \\begin{cases} \\Delta u(x, y) = 0, (x, y) \\in D \\\\ u(x, y)|_\\Gamma = \\cos 3\\theta \\end{cases} \\tag{1} \\end{align*} $$\u3053\u306e\u6642\u3001\u89e3\u306f\u5b58\u5728\u3057\u3066\u4e00\u610f\u3067\u3042\u308b\u3053\u3068\u304c\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u3002\u7406\u8ad6\u7684\u306a\u89e3\u306e\u8868\u793a\u306b\u3064\u3044\u3066\u306f\u300c\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\uff08\u718a\u30ce\u90f7\uff09\u300dp.78 \u3088\u308a\u3001Poisson \u7a4d\u5206$$ \\begin{align*} u(x, \u2026","type":"rich","published":"2022-12-17 20:36:15","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","provider_url":"https://hatena.blog","author_url":"https://blog.hatena.ne.jp/derwind/","blog_url":"https://randommemory.hatenablog.com/","provider_name":"Hatena Blog","categories":["math-pde"],"width":"100%","url":"https://randommemory.hatenablog.com/entry/2022/12/17/203615","image_url":null}