{"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2015%2F11%2F22%2F183930\" title=\"\u5c40\u6240\u6b63\u5247\u6027 - \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>","author_name":"derwind","published":"2015-11-22 18:39:30","version":"1.0","image_url":null,"provider_name":"Hatena Blog","author_url":"https://blog.hatena.ne.jp/derwind/","description":"Schr\u00f6dinger\u65b9\u7a0b\u5f0f(2) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u3067\u5c11\u3057\u89e6\u308c\u305f$L^p$\u6027\u3068\u5c40\u6240\u6b63\u5247\u6027\u3060\u304c\u3001$L^p (p > 2)$\u3060\u3068\u5fae\u5206\u53ef\u80fd\u6027\u304c\u9ad8\u307e\u308b\u3068\u3044\u3046\u610f\u5473\u3067\u306f\u306a\u3055\u305d\u3046\u306b\u601d\u3048\u3066\u304d\u3066\u4ed5\u65b9\u306a\u3044\u3002 \u305a\u3063\u3068Sobolev\u7a7a\u9593\u306e\u610f\u5473\u3067\u306e\u6ed1\u3089\u304b\u3055\u3092\u300c\u6b63\u5247\u6027\u300d\u3068\u601d\u3063\u3066\u3044\u305f\u304c\u3001\u3053\u306e\u5834\u5408\u306f\u7279\u7570\u6027\u306e\u7de9\u3084\u304b\u3055\u304f\u3089\u3044\u306b\u3068\u3089\u3048\u305f\u307b\u3046\u304c\u826f\u3055\u305d\u3046\u306b\u601d\u3048\u3066\u304d\u305f\u3002$\\mathbb{R}^d (d \\ge 1)$\u306b\u304a\u3051\u308b$\\frac{1}{|x|^k}$\u3068\u3044\u3046\u7279\u7570\u6027\u3092\u6301\u3064\u51fd\u6570\u3092\u539f\u70b9\u5468\u308a\u3067\u7a4d\u5206\u3059\u308b\u3053\u3068\u3092\u8003\u3048\u308b\u3002\u6975\u5ea7\u6a19\u306b\u5909\u63db\u3059\u308b\u3068\u3001 \\begin{equation} (d-1) - kp > -1 \\end{equation}\u306e\u6642$p\u2026","blog_url":"https://randommemory.hatenablog.com/","provider_url":"https://hatena.blog","type":"rich","width":"100%","title":"\u5c40\u6240\u6b63\u5247\u6027","url":"https://randommemory.hatenablog.com/entry/2015/11/22/183930","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","categories":["math-pde"],"height":"190"}