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1、Elliptic&ParabolicEquationsZhuoqunWu,JingxueYin&ChunpengWangElliptic&ParabolicEquationsElliptic&ParabolicEquationsZhuoqunWu,JingxueYin&ChunpengWangJilinUniversity,ChinaJJSWorldScientificNEWJERSEY•LONDON•SINGAPORE•BEIJING•SHANGHAI•HONGKONG•TAIPEI•CHENNAIPublishedbyWorldScientificPublis
2、hingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.ELLIPTICANDPARABOLICEQUATIONSCop
3、yright©2006byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublis
4、her.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN981-270-025-0ISBN981-270-026-9(pbk)PrintedinSingaporebyB&JOEnterprisePrefaceEllipt
5、icequationsandparabolicequationsaretwoimportantbranchesinthefieldofpartialdifferentialequations.Thesetwokindsofequationsarisefrequentlyatthesametimeinmanyapplications:ellipticequationsarisefromthestationarycaseandparabolicequationsfromthenonstationarycase.Inhistory,theoriesofthemhavebe
6、endevelopedalmostsimultane•ously.Manymethodsappliedtoellipticequationsarealsoavailabletopar•abolicequations,althoughsomenewmethodsarerequiredtobedevelopedforthelatter.Sofartherehavebeennumerousmonographsfocusingsepa•ratelyoneachkindofequations,see[LadyzenskajaandUral'ceva(1968)],[Ladyz
7、enskaja,SolonnikovandUral'ceva(1968)],[GilbargandTrudinger(1977)],[Lieberman(1996)],[ChenandWu(1997)],[Chen(2003)]and[Gu(1995)].However,thereareveryfewbookstreatingthemincombina•tion.Inthisrespect,thebook[OleinikandRadkevic(1973)]shouldbementioned,inwhichtheequationsconsideredinclude
