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§ 1. Introduction Theconvexfunctionshavebeenextensivelystudiedinonecomplexvariable .Thesefunc tionsareeasilycharacterizedbysimpleanalyticorgeometricconditionsandtherearemanywellknownresultswhichcanhelpusunderstandtheirnature.However,thedifficultiesariseinsev eralcomplexvariables.Imposingtheconditionthatamappingbeconvexmappingturnsouttobeveryrestrictiveandsothefamilyofquasi convexmappingswasintroducedbyROPERKAandSUFFRIDGETJin [1 ].In [2 ]wehaveshown :thefamilyofquasi convexmappings… 相似文献
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一非线性双曲型方程解的爆破 总被引:1,自引:0,他引:1
本文应用压缩映射原理证明一非线性双曲型方程的初边值问题存在唯一局部广义解,并给出此问题的广义解爆破的充分条件。 相似文献
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