二阶抛物微分方程

图书标准信息

• 作者 G.M.Lieberman 编
• 出版社 世界图书出版公司
• 出版时间 2003-09
• 版次 1
• ISBN 9787506259606
• 定价 56.00元
• 装帧 平装
• 开本 其他
• 纸张 胶版纸
• 页数 439页

【目录】

Preface
ChapterⅠ.Introduction
1Outlineofthisbook
2FurtherRemarks
3Notation

ChapterⅡ.MaximumPrinciples
1TheWeakmaximumPrinciples
2Thestrongmaximumprinciple
3Aprioriestimates
Notes
Exercises

ChapterⅢ.IntroductiontotheTheoryofweakSolutions
1Thetheoryofweakderivatives
2Themethodofcontinuity
3Problemsinsmallballs
4GlobalexistenceandthePeronprocess
Notes
Exercises

ChapterⅣ.HolderEstimates
1Holderconbtinuity
2Campanatospaces
3Interiorestimates
4Estimatesnearaflatboumdary
5Regularizeddistance
6IntermediateSchauderEstimates
7Curvedboundariesandnonzeroboundarydata
8Aspecialmixedproblem
Notes
Exercises

ChapterⅤ.Existence,Uniqueness,andRegularityofSolutions
1UniquenessofSolutions
2TheCauchy-Dirichletproblemwithboundedcoefficients
3TheCquchy-Dirichletproblemwithunboundedcoefficients
4Theobliquederivativeproblem
Notes
Exercises
ChapterⅥ.FurtherTheoryofWeakSolutions
……
ChapterⅦ.StrongSolutions
ChapterⅧ.FixedPointTheoremsandTheir
ChapterⅨ.ComparisonandMaximumPrinciples
ChapterⅩBoundaryGradientExtimates
ChapterⅪ.GlobalandLocalGradientBounds
ChapterXII.HolderGradientExtimatesandExistenceTheorems
ChapterXIII.TheObliqueDerivativeProblemforQuasilinearParabolicEquations
ChapterXIV.FullyNonlinearEquationsⅠ.
ChapterXVFullyNonlinearEquationsⅡ.
References
Index