{"type":"product","schema_version":"1.0","item_id":"101737864108","canonical_url":"https://tw.bid.yahoo.com/item/101737864108","title":"Concentration Compactness for Critical Wave Maps臨界波映射的集中緊性｜未拆 Krieger Schlag","subtitle":null,"condition":"全新品","currency":"TWD","observed_at":"2026-04-27T17:52:15.763Z","current_price":350,"original_price":null,"stock_status":"low_stock","available_quantity":1,"sold_quantity":0,"seller":{"id":"Y4762459297","name":"個人,售出不退買家負擔運送風險","positive_rate":null,"rating_count":null},"images":[{"url":"https://img.yec.tw/ob/image/4069d925-f3ed-4e6b-953f-9307bb70f5d8.jpg","role":"main","alt":"商品主圖","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/f6909ada-5211-4194-afc0-8e716f574b39.jpg","role":"detail","alt":"商品圖片 2","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/3435a202-66d9-4003-bff3-bd1ca1781360.jpg","role":"detail","alt":"商品圖片 3","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/3acc4071-f7e2-4bea-954d-9fdc4ceff2d6.jpg","role":"detail","alt":"商品圖片 4","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/abf49d66-3770-47b7-a7ca-d3296a2dc62d.jpg","role":"detail","alt":"商品圖片 5","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/f5b35dd2-6b2d-40ae-9932-484e40ec7f11.jpg","role":"detail","alt":"商品圖片 6","width":null,"height":null},{"url":"https://img.yec.tw/ob/image/47a85705-a4d1-4c9c-90f8-ce5ccc4dc76c.jpg","role":"detail","alt":"商品圖片 7","width":null,"height":null}],"description":"世界圖書出版\n\n自藏，未拆封，外觀保存如圖（重新拍攝於2025.02左右）\n\n印象中是2017年時自三民書局購入\n\nTable of Contents:（請自行刪除press前的空格）\n\nems. press/content/book-chapter-files/20850\n\n內容簡介 (from 博客來)本書是一部研究非線性色散方程，特別是幾何發展方程的專著。波映射是在黎曼流形(M, g)上取值的最簡單的波方程，其拉格朗日算子同標量方程中的基本一樣，僅有的不同是長度的測量與度量g有關。\n通過Noether定理，拉格朗日對稱表明了波映射的守恆律，如能量守恆。在坐標系中，波映射有半線性系統波方程給出。在過去的20年中，一些表述這個系統的局部和全局適定性問題的重要方法出現了。\n由於弱色散效應，波映射定義在低維Minkowski空間，如Rt,x1+2上，呈現出特別的技術難題。這一類波函數有格外重要臨界能量特性，事實上即能量尺度和方程極其相似。本書將在雙曲平面中實現集中緊性方法的應用，這一實現的最大挑戰是，將產生更多有關解的詳細信息。\n\n讀者對性：數學專業、數值分析、非線性方程和幾何發展方程專業的廣大學者。\n\nJoachim Krieger（J.克里格,瑞士）是國際知名學者，在數學和物理學界享有盛譽。本書凝聚了作者多年科研和教學成果，適用於科研工作者、高校教師和研究生。 \n\n目錄Introduction and overview\n\n1.1 The main result and its history\n1.2 Wave maps to H2\n1.3 The small data theory\n1.4 The Bahouri—Gerard concentration compactness method\n1.5 The Kenig—Merle agument\n1.6 An overview of the book\n\n2 The spaces S[k] and N[k]\n2.1 Preliminaries\n2.2 The null—frame spaces\n2.3 The energy estimate\n2.4 A stronger S[k]—norm， and time localizations\n2.5 Solving the inhomogeneous wave equation in the Coulomb gauge\n\n3 Hodge decomposition and null—structures\n\n4 Bilinear estimates involving S and N spaces\n4.1 Basic L2—bounds\n4.2 An algebra estimate for S[k]\n4.3 Bilinear estimates involving both S[k1] and N[k2] waves\n4.4 Null—form bounds in the high—high case\n4.5 Null—form bounds in the low—high and high—low cases\n\n5 Trilinear estimates\n5.1 Reduction to the hyperbolic case\n5.2 Trilinear estimates for hyperbolic S—waves\n5.3 Improved trilinear estimates with angular alignment\n\n6 Quintilinear and higher nonlinearities\n6.1 Error terms of order higher than five\n\n7 Some basic perturbative results\n7.1 A blow—up criterion\n7.2 Control of wave maps via a fixed L2—profile\n\n8 BMO， Ap， and weighted commutator estimates\n\n9 The Bahouri—Gerard concentration compactness method\n9.1 The precise setup for the Bahouri—Gerard method\n9.2 Step 1： Frequency decomposition of initial data\n9.3 Step 2： Frequency localized approximations to the data\n9.4 Step 3： Evolving the lowest—frequency nonatomic pa...","shipping_methods":[{"name":"郵局掛號","fee":0,"currency":"TWD"},{"name":"7-ELEVEN取貨付款","fee":0,"currency":"TWD"},{"name":"7-ELEVEN取貨不付款","fee":0,"currency":"TWD"},{"name":"面交/自取/不寄送","fee":0,"currency":"TWD"},{"name":"萊爾富取貨付款","fee":0,"currency":"TWD"}],"lowest_shipping_fee":null,"payment_methods":["ATM轉帳","萊爾富取貨付款","7-ELEVEN取貨付款"],"category_id":"2092095952","category_name":"理工醫","breadcrumb":[{"id":"3994318","name":"圖書/影音/文具","url":"/tw/%E5%9C%96%E6%9B%B8-%E5%BD%B1%E9%9F%B3-%E6%96%87%E5%85%B7-3994318-category.html"},{"id":"2092064185","name":"圖書與雜誌","url":"/tw/%E5%9C%96%E6%9B%B8%E8%88%87%E9%9B%9C%E8%AA%8C-2092064185-category.html"},{"id":"2092073405","name":"教育/考試用書","url":"/tw/%E6%95%99%E8%82%B2-%E8%80%83%E8%A9%A6%E7%94%A8%E6%9B%B8-2092073405-category.html"},{"id":"2092079015","name":"教科書","url":"/tw/%E6%95%99%E7%A7%91%E6%9B%B8-2092079015-category.html"},{"id":"2092095948","name":"大專/大學用書","url":"/tw/%E5%A4%A7%E5%B0%88-%E5%A4%A7%E5%AD%B8%E7%94%A8%E6%9B%B8-2092095948-category.html"},{"id":"2092095952","name":"理工醫","url":"/tw/%E7%90%86%E5%B7%A5%E9%86%AB-2092095952-category.html"}],"view_count":0,"watch_count":0,"hashtags":["臨界波映射","集中緊性"]}