偏微分方程 （第2卷） 索维尼 （Friedr 【正版】 【店主推荐，正版书放心购买，可开发票】
Inthissecondvolume-FUNCTIONALANALYTICMETHODS-wecontinueourtextbookPARTIALDIFFERENTIALEQUATIONSOFGEOMETRYANDPHYSICS.Frombothareasweshallanswercentralquestionssuchascurvatureestimatesoreigenvalueproblems-forinstance.Withthetitleofourtextbookwealsowanttoemphasizethepureandappliedaspectsofpartialdifferentialequa-tions.Itturnsoutthattheconceptsofsolutionsarepermanentlyextendediathetheoryofpartialdifferentialequations.Heretheclassicalmethodsdonotlosetheirsignificance.Besidesthen-dimensionaltheoryweequallywanttopresentthetwo-dimensionaltheory-soimportanttoourgeometricintuition.Weshallsolvethedifferentialequationsbythecontinuitymethod-thevari-ationalmethodorthetopologicalmethod.Thecontinuitymethodmaybepreferredfromageometricpointofview-sincethestabilityofthesolutionisinvestigatedthere.Thevariationalmethodisveryattractivefromthephysi-calpointofview however-difficultregularityquestionsfortheweaksolutionappearwiththismethod.Thetopologicalmethodcontrolsthewholesetofsolutionsduringthedeformationoft
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