| Some Remarks on One Type of Parabolic Monge-Ampère Equation |
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| 引用本文： | 陈丽,王光烈.Some Remarks on One Type of Parabolic Monge-Ampère Equation[J].数学进展,1999(4). |
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| 作者姓名： | 陈丽 王光烈 |
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| 摘 要： | Inthepresentpaper,weinvestigatethefollowinginitial--boundaryvalueproblemforatypeofparabolicMonge-AmpereequationwhereQ=ax(0,TI,nisaboundedconvexdomaininR",aamistheHessianofthefunctionu,ovQdenotestheparabolicboundaryofQ.Recently,IvochkinaandLadyzhenskaya1]consideredtheaboveproblem,andundersomestructureconditions,theyobtainedtheuniquesolvabilityofitinclassicalsense.Afterthat,WangRouhuaiandWangGuanglieimprovedtheresultsofifundersomeweakerconditionsandgetthatproblem(1),(2)hasauniquesolution…
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