摘要
Firstly,theRiemannboundaryvalueproblemforakindofdegenerateellipticsystemofthefirstorderequationsinR~4isproposed.Then,withthehelpoftheone-to-onecorrespondencebetweenthetheoryofCliffordvaluedgeneralizedregularfunctionsandthatofthedegenerateellipticsystem’ssolution,theboundaryvalueproblemasstatedaboveistransformedintoaboundaryvalueproblemrelatedtothegeneralizedregularfunctionsinCliffordanalysis.Moreover,thesolutionoftheRiemannboundaryvalueproblemforthedegenerateellipticsystemisexplicitlydescribedbyusingakindofsingularintegraloperator.Finally,theconditionsfortheexistenceofsolutionsoftheobliquederivativeproblemforanotherkindofdegenerateellipticsystemofthefirstorderequationsinR~4arederived.
出版日期
2016年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)