Convex Analysis and Variational Problems

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SIAM, Dec 1, 1999 - Mathematics - 402 pages
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No one working in duality should be without a copy of Convex Analysis and Variational Problems. This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references.
 

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Contents

CL28_ch1
3
CL28_ch2
34
CL28_ch3
46
CL28_ch4
75
CL28_ch5
116
CL28_ch6
165
CL28_ch7
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CL28_ch8
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CL28_ch9
263
CL28_ch10
297
CL28_appendixa
357
CL28_appendixb
375
CL28_backmatter
385
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