二階奇異拋物型方程初邊值問題解的存在性、唯一性和漸近估計.pdf

1、煙臺大學(xué)碩士學(xué)位論文二階奇異拋物型方程初邊值問題解的存在性、唯一性和漸近估計姓名：王淑霞申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：張志軍20090401AbstractThispapercontainstwoparts.Firstbyapplyingparabolicregularizationmethodthesubsupersolutionsmethodweareconcernedwiththeexistenceuniqueness

2、estimatesofsolutionstotheinitialboundaryvalueproblems??????????????v?t??v=b(xt)?h(v)v|?v|2(xt)∈QTv(xt)=0(xt)∈??(0T]v(x0)=?(x)x∈?inasmoothboundeddomain??RN.Undertheassumptionsonbh?someexistenceresultsareobtained.Wealsodis

3、cusstheestimatesofsolutionsinthesenseofL2(0TW120(?))∩L∞(0TL2(?))nms.Meoverwegivetheuniquenessofsolutionsftwokindsofspecialproblems.SecondundertheassumptionsonfbbyapplyingKaramataregularvariationtheyperturbationmethodcons

4、tructingcomparisonfunctionswederivetheboundarybehaviofsolutionstoboundaryblowupnonlinearellipticproblems?u|?u|q=b(x)f(u)x∈?u|??=∞.Thisisamegeneralizedstablefmoftheabovesingularparabolicproblemwithinitialboundaryvalues.Ke