Elliptic And Parabolic Equations

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World Scientific Publishing Company, 17 oct 2006 - 424 páginas
This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there are very few books treating these two kinds of equations in combination. This book presents the related basic theories and methods to enable readers to appreciate the commonalities between these two kinds of equations as well as contrast the similarities and differences between them.
 

Índice

1 Preliminary Knowledge
1
2 L2 Theory of Linear Elliptic Equations
39
3 L2 Theory of Linear Parabolic Equations
71
4 De Giorgi Iteration and Moser Iteration
105
5 Harnacks Inequalities
131
6 Schauders Estimates for Linear Elliptic Equations
159
7 Schauders Estimates for Linear Parabolic Equations
197
8 Existence of Classical Solutions for Linear Equations
233
9 Lp Estimates for Linear Equations and Existence of Strong Solutions
255
10 Fixed Point Method
277
11 Topological Degree Method
313
12 Monotone Method
323
13 Degenerate Equations
355
Bibliography
403
Index
405
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Sobre el autor (2006)

Zhuoqun Wu (Jilin University, China);Jingxue Yin (Jilin University, China);Chunpeng Wang (Jilin University, China)

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