Modern Methods in Partial Differential Equations

Uponitsinitial1977publication,thisvolumemaderecentaccomplishmentsinitsfieldavailabletoadvancedundergraduatesandbeginninggraduatestudentsofmathematics.Requiringonlysomefamiliaritywithadvancedcalculusandrudimentarycomplexfunctiontheory,itcovereddiscoveriesofthepreviousthreedecades,aparticularlyfruitfulera.Nowitremainsapermanent,much-citedcontributiontotheever-expandingliteratureonpartialdifferentialequations.AuthorMartinSchechterchosesubjectsthatwillmotivatestudentsandintroducethemtotechniqueswithwideapplicabilitytoproblemsinpartialdifferentialequationsaswellasotherbranchesofanalysis.Uniforminthemeandoutlook,thetextfeaturesproblemsthatconsiderexistence,uniqueness,estimates,andregularityofsolutions.Topicsincludeexistenceofsolutions,regularityofconstantandvariablecoefficients,theCauchyproblem,propertiesofsolutions,boundaryvalueproblemsinahalf-space,theDirichletproblem,generaldomains,andgeneralboundaryvalueproblems.,