二阶抛物微分方程

所属分类:数学  
出版时间:2003-9   出版时间:世界图书出版公司   作者:G.M.Lieberman   页数:439  

内容概要

二阶抛物微分方程,ISBN:9787506259606,作者:G.M.Lieberman

书籍目录

PrefaceChapter
Ⅰ.
Introduction
1
Outline
of
this
book
2
Further
Remarks
3
NotationChapterⅡ.
Maximum
Principles
1
The
Weak
maximum
Principles
2
The
strong
maximum
principle
3
A
priori
estimates
Notes
ExercisesChapter
Ⅲ.
Introduction
to
the
Theory
of
weak
Solutions
1
The
theory
of
weak
derivatives
2
The
method
of
continuity
3
Problems
in
small
balls
4
Global
existence
and
the
Peron
process
Notes
ExercisesChapter
Ⅳ.
Holder
Estimates
1
Holder
conbtinuity
2
Campanato
spaces
3
Interior
estimates
4
Estimates
near
a
flat
boumdary
5
Regularized
distance
6
Intermediate
Schauder
Estimates
7
Curved
boundaries
and
nonzero
boundary
data
8
A
special
mixed
problem
Notes
ExercisesChapter
Ⅴ.
Existence,
Uniqueness,
and
Regularity
of
Solutions
1
Uniqueness
of
Solutions
2
The
Cauchy-Dirichlet
problem
with
bounded
coefficients
3
The
Cquchy-Dirichlet
problem
with
unbounded
coefficients
4
The
obliquederivative
problem
Notes
ExercisesChapter
Ⅵ.
Further
Theory
of
Weak
Solutions……Chapter
Ⅶ.
Strong
SolutionsChapter
Ⅷ.
Fixed
Point
Theorems
and
TheirChapter
Ⅸ.
Comparison
and
Maximum
PrinciplesChapter

Boundary
Gradient
ExtimatesChapter
Ⅺ.
Global
and
Local
Gradient
BoundsChapter
XII.
Holder
Gradient
Extimates
and
Existence
TheoremsChapter
XIII.
The
Oblique
Derivative
Problem
for
Quasilinear
Parabolic
EquationsChapter
XIV.
Fully
Nonlinear
EquationsⅠ.Chapter
XV
Fully
Nonlinear
Equations
Ⅱ.References
Index

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用户评论 (总计5条)

 
 

  •     期待作者的新书。
  •     Lieberman是Gilbarg的学生Trudinger的师弟名门之后,此书更是他的心血所著是一本值得拥有的好书
  •     100减20时买的,当当做活动时还比较便宜。
  •     经典的教材,纸的质量不是很好。。
  •     质量很一般,不值这个价格;购买时请慎重
 

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