擬線性以曲混合初邊值問(wèn)題的半整體經(jīng)典解.pdf

1、復(fù)旦大學(xué)碩士學(xué)位論文擬線性以曲混合初邊值問(wèn)題的半整體經(jīng)典解姓名：金逸申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：李大潛2000.5.1Semi—globalclassicalsolutiontomixedinitial—boundaryvalueproblemofquasilinearhyperbolicsystemsAbstractFortheresearchofappliedmathematicsOilthepropertiesofh

2、y—perboliesystemsofquasilinearpartialdifferentialequationsintwoindependentvariables，wehavetheneedstoconsidertheboundaryconditionsfortheexistenceoftheclassicalsolutionongivendomainAndtheresearchonmixedinitial—boundaryvalu

3、eproblemiSthebasisofotherproblemsThispapergivesthesemi—globalclassicalsolutiontothemixedinitial—boundaryvalueproblemoftheequations籌A(u)塞叫u)(2)ongivenrectangledomainR(％)=(t，z)10≤t≤蜀，0≤z≤1)Thereare6sectionsintotaJThefirstt

4、wosectionsintroducetwodiff；rentformulationsoftheproblemandthemainresultsofthispaperThethirdsectionexplainstherelationofthetwoformulationsInthefourthsection，wegiveasimplifiedproofoftheexistenceanduniquenessofthe10calclass

5、icalsolutiontoourproblemanddiscussthepropertyoftheheightofthissolutionThe1asttwosectionsob—taintheexistenceanduniquenessofthesemi—globalclassicalsolutionbyusinguniformaprioriestimatesofitsC1normKeyWordsquasilinearhyperbo