帶有梯度項和吸收項的非線性退化擴散方程整體解的存在性和熄滅.pdf

1、廈門大學碩士學位論文帶有梯度項和吸收項的非線性退化擴散方程整體解的存在性和熄滅姓名：司新申請學位級別：碩士專業(yè)：基礎數學指導教師：趙俊寧20070401英文摘要AbstractThispaperisdevotedtothestudyoftheinitialboundaryproblemforaclassdegeneratenonlineardiffusionequationwithgradienttermandabsorptionoft

2、heformut=△t‘m—AuplV鏟l曩onQ=Q(0，oo)，wherem≥l，po，A0，1S口零，QcRⅣisaboundeddomainTheinitialdatat‘(z，0)=t‘o(z)∈￡∞(Q)with玨o(z)≥0Weobtainexistenceandextinctioninfinitetimeofglobalweaksolutionsforabovementionedproblemonsomeassumpti