Clifford分析中廣義正則和超正則函數(shù)的某些邊值問題.pdf

1、927918學(xué)號：2地塑—801—012一爵級：壘丑一分類號：Q!15學(xué)校代碼：!Q塹一一四川師范大學(xué)碩士學(xué)位論文Clifford分析中廣義正則和超正則函數(shù)的某些邊值問題曾純一培養(yǎng)單位四刖婭菹厶堂墊堂皇塑盟：型堂堂瞳一指導(dǎo)教師揚丕塞職稱—數(shù)援——弓業(yè)名稱～基趟塑堂——一研究方向一——函數(shù)途——一——授予學(xué)位日期——一墨QQ魚生旦旦SomeBoundaryVaIueProbIemsforHyperMonogeniCFunctionsand

2、GeneraIizedReguIarFunctiorlsinCIiffordAnaIysiSMajorBasiCMathematiCSGraduateChunYiZengSuparvisotPiWenYangThecomplexanalysiSmethodisapowerfultomforstudyingpartialdifferentialequationsInthiSpaper，wemainlystudysomeboundaryva

3、lueproblemsofhypermonogenicfunctionsandgeneralizedregularfunctionsinCliffordanalysis，theobliquederivativeboundaryvalueproblemforadegeneratehyperbolicequtionofsecondorderinplane，wegeneralizesomeresultsinrecentliteratureFi

4、rstly，inC1iffordanalysis，westudythePlemeljformulaofgeneralizedregularfunctions，obtaintheintegralrepresentationsofsolutionsaboutgeneralizedregularfunctionsforaclassofRiemannboundaryvalueproblem，andprovethe1inearboundaryva

5、lueproblemhasauniquesolution，Moreover，themathematicalformulationofaclassofinverseRiemannboundaryvalueproblemforgeneralizedregularfunctionsiSpresented，thenwetransferthisinverseproblemintiemannboundaryvalueproblemSecondly，