考慮熱效應時半導體方程弱解的存在性.pdf

1、東南大學碩士學位論文考慮熱效應時半導體方程弱解的存在性姓名：趙君平申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：管平2002.1.1考慮熱效應時半導體方程弱解的存在性OntheExistenceof、veakSolutionofAThermalEfrectModelforSemiconductorsAbstract3Iuthispaper，westudyfollowingdefiniteproblemofthedrift—diffusion

2、modelforlasersemiconductordevice“f—V厶=Rg，仇一V山=Rg，V(。(日)V妒)=fP—nOt—V(k(0)v0)=H，n=fiP=F，妒=巧，0=d，on∑D，矗p=山p=籌=籌=0，onEN，n(。，0)=no(x)，p(x，0)=po(x)，o(x，0)=Oo(x)，z∈nThemainresultsarethefollowingtwopartsFirstlywestudytheinitiala

3、ndmixedboundaryvalueproblemoftheequationsaffectedbyheatinalasersemiconductordevicewiththeinitialvaluesn0，P0，00∈L罕(ft)WeconstructthemapMandderivethatthemapiscompletelycontinuousByusingtheenergyestimatesandSchauderfixedpoi

4、nttheorem，weprovetheexistenceoftheglobalweaksolutionstothisproblemSecondly，weconsidertheexistenceoftheglobalweaksolutionswiththeinitialvalues7to，Po，Oo∈L車(n)Duetotheachievementofthisproblemwhentheinitialin工挈(n)，byusingthe

5、approximatemethod，compactlemmaandaprioriestimates，weconcludetheexistenceoftheglobalweaksolutionsKeywords：nonlinearpartialdifferentialequations，globalweaksolution，existence，at)1ioriestimates，compactnessprinciple，heateffec