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基本信息
书名:二阶抛物微分方程
定价:56.00元
作者:G.M.Lieberman
出版社:世界图书出版公司
出版日期:2003-09-01
ISBN:9787506259606
字数:0
页码:439
版次:439
装帧:平装
开本:其他
商品重量:0
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内容提要
目录
PrefaceChapterⅠ.Introduction1Outlineofthisbook2FurtherRemarks3NotationChapterⅡ.MaximumPrinciples1TheWeakmaximumPrinciples2Thestrongmaximumprinciple3AprioriestimatesNotesExercisesChapterⅢ.IntroductiontotheTheoryofweakSolutions1Thetheoryofweakderivatives2Themethodofcontinuity3Problemsinsmallballs4GlobalexistenceandthePeronprocessNotesExercisesChapterⅣ.HolderEstimates1Holderconbtinuity2Campanatospaces3Interiorestimates4Estimatesnearaflatboumdary5Regularizeddistance6IntermediateSchauderEstimates7Curvedboundariesandnonzeroboundarydata8AspecialmixedproblemNotesExercisesChapterⅤ.Existence,Uniqueness,andRegularityofSolutions1UniquenessofSolutions2TheCauchy-Dirichletproblemwithboundedcoefficients3TheCquchy-Dirichletproblemwithunboundedcoefficients4TheobliquederivativeproblemNotesExercisesChapterⅥ.FurtherTheoryofWeakSolutions……ChapterⅦ.StrongSolutionsChapterⅧ.FixedPointTheoremsandTheirChapterⅨ.ComparisonandMaximumPrinciplesChapterⅩBoundaryGradientExtimatesChapterⅪ.GlobalandLocalGradientBoundsChapterXII.HolderGradientExtimatesandExistenceTheoremsChapterXIII.TheObliqueDerivativeProblemforQuasilinearParabolicEquationsChapterXIV.FullyNonlinearEquationsⅠ.ChapterXVFullyNonlinearEquationsⅡ.ReferencesIndex
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