一類半導體方程組的初邊值問題.pdf

1、東南大學碩士學位論文一類半導體方程組的初邊值問題姓名：孫福芹申請學位級別：碩士專業(yè)：應用數學指導教師：管平2000.2.1二鲞蘭量墮互堡望墮塑望墮塑里—一TheInitiaIBoundaryValueProblemsofASystemofSemiconductorEquationsAbstractInthispape‘weconsidersoreeinitial—boundaryValueproblemsof8syst?！皁fsemic

2、onductorequations：竽一divJ，=一Rg，，i=12西‘一△v=N“，一“Inthefirstpart，theinitial—boundaryproblemwhichhasDirichletboundaryconditionsisconsidered，ie：“。f，：o=“0』(x)，i=12，x∈Q，“=Z(z)，i=12，x∈訛，礦=礦(x)，z∈aQ，B。invariantsettheoryandShauderf

3、ixedpointtheorem，wegetglob8【existence，uniquenessoftheclassicsolutions(includingstationaryandnon—stational了)礬asvmptcficbehaviorbetweentheⅦlⅡ￡——一Thesecond口artisconcemedwithamixednonlinearboundaryconditions：“。lf_o=“o，(x)，i=

4、12，x∈Q“。l∞。=瓦(x)，i=12，妒l6‰=礦o)，f0小y【。。圳圳，引，2，詈I。、=oInthisDart，weestablishtheexistenceofaweaksolutiontothisboundaryvalueDrobIemundertheassumptionthatinitialvalue“o，(x)∈L7(n)Themethodofproofreliesonmonotoneoperatortheoryan

5、dShauderfixedpointtheoremInthethirdpart，weletinitialvalue／，Os(x)∈三：(Q)Bythesamemethod，wegettheglobalexistenceofweaksolutionInthemeantime，wealsostudytheuniquenessandglobalasvmototicofthesolution’‘Inthefourthpart，weconside