復(fù)Clifford分析與多復(fù)變函數(shù)中某些Riemann邊值問題及R2中變形Helmholtz方程的Carleman邊值問題.pdf

1、四川師范大學(xué)碩士學(xué)位論文復(fù)Cliffd分析與多復(fù)變函數(shù)中某些Riemann邊值問題及R2中變形Helmholtz方程的Carleman邊值問題姓名：李明申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：楊丕文20120310SomeRiemannboundaryvalueproblemsincomplexCliffordanalysisandseveralcomplexvariablesandCarlemanboundaryvalueprobl

2、emsforthemodifiedHelmholtzequationsinR2Master：LiMingFunctionsTheorySupervisor：YangPiwenAbstract：Inthisthesis，weinvestigatesomeRiemannboundary、radueproblemsincomplexCliffordanaly潞andseveralcomplexvariables，thengivethesolv

3、ableconditionsoftheseproblemsandtheintegralexpressionsofthesolution8wealsoinvestigatetheCarlemanboundaryvalueproblemswiththeboundanrconditionW【p(t)】=c(t)w(t)9(t)，t∈FforthemodifiedHelmhoItzequationoffirstorder(七主瓦0七10鑫)(羔

4、：三：三；)=(：：二：舅)onmultiplyconnecteddomainsofR2Byusingthemethodsfromgener猷娩edanalyticfunctions，weobtaintheexistenceofsolutionsandthe80lvableconditionsfortheaboveproblemrespectivelyindifferentcasesKeywords：2ndimensionregular