A Short Course on Operator Semigroups

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Springer, Jun 6, 2006 - Mathematics - 247 pages
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The book gives a streamlined and systematic introduction to strongly continuous semigroups of bounded linear operators on Banach spaces. It treats the fundamental Hille-Yosida generation theorem as well as perturbation and approximation theorems for generators and semigroups. The special feature is its treatment of spectral theory leading to a detailed qualitative theory for these semigroups. This theory provides a very efficient tool for the study of linear evolution equations arising as partial differential equations, functional differential equations, stochastic differential equations, and others. Therefore, the book is intended for those wanting to learn and apply functional analytic methods to linear time dependent problems arising in theoretical and numerical analysis, stochastics, physics, biology, and other sciences. It should be of interest to graduate students and researchers in these fields.

  

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Contents

II
1
III
2
V
8
VI
11
VIII
17
IX
19
X
20
XI
26
XXXI
141
XXXII
145
XXXIII
148
XXXIV
156
XXXV
157
XXXVI
168
XXXVII
176
XXXIX
179

XII
30
XIII
34
XIV
35
XV
46
XVII
50
XVIII
57
XIX
63
XXI
74
XXII
83
XXIII
90
XXIV
104
XXV
110
XXVI
115
XXVIII
124
XXIX
136
XXX
138
XL
185
XLI
186
XLII
188
XLIII
191
XLIV
194
XLV
205
XLVII
207
XLVIII
211
XLIX
216
L
222
LI
231
LII
237
LIII
240
LIV
243
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