偏微分方程可解性研究

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1、安徽大学硕士学位论文偏微分方程的可解性研究姓名：金启胜申请学位级别：硕士专业:基础数学指导教师：周宗福2009-11偏微井方稈反瞬了有玮翊脚嘆知毗破聞附删租郑縞闸娈量鸽导救之闸軸雕樸系。诈多自然甥舉鬧墓本规律綃砂炭痢卿繳井方程的形无并扎人祈缺命丽轆湘屢繃农师畅册,#«了罐些秦来删律的葩确也藪窃显示rat#方裡财手认识自然蚪基不规細腫鯛脊子逵箜華槪澀,,人匍迹羹利用这些基秦規律亲研配鍾熬的副然现象和解決篡彩证馳&邂,遞蘇需聲求岀数学物鰹方穆申饰彬待定间题I翎略I困此，砺痂输砌辭瞬用咖&螂躺偷悪制断初、边值间题的定解就刪瀚■W。邈阪翻｛咏J应用（妳値,而10

2、4也年富了僞微金疲的敷瞬。本文对偏微分方程婀懈奥樓彌的如、边值间题的定解伟"•些磁鼎榴帥F在第=章巾・魁了騒分方程的可解性的=些历史背景和一些硏究成果，莫瞬跻磁稠銓囲作。在第二章申,利用不动点理论，确究了二粪举线性椭岡型方程边値问］题正解的存在性利^催。得咄了舸缁血側b摘出拆三他俐说明了细腿再得的。程第三童中"诫強了二类特殊的F波动方程运卿俞麝融塗劇辆蔚解沬以及突越J總咖蹄解删翔枪潮備怨法吓恥呻甲ier变魏法°得出子有美结忍此黑给出子二伞封憾艄鮒靈雇碱惟亦^n申，讷喘了辆二缝热传辱方程定解爵躺蝴咿廖眼溺鱼了穂押辩咲i锻斛J结橋例常实例说明了结蘇可行的・I

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