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Abstract Cauchy Problems: Three Approaches
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Abstract Cauchy Problems: Three Approaches Hardcover - 2001 - 1st Edition

by Irina V. Melnikova; Alexei Filinkov


From the publisher

Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularization methods. Semigroup and distribution methods restore well-posedness, in a modern weak sense. Regularization methods provide approximate solutions to ill-posed problems. Although these approaches were extensively developed over the last decades by many researchers, nowhere could one find a comprehensive treatment of all three approaches. Abstract Cauchy Problems: Three Approaches provides an innovative, self-contained account of these methods and, furthermore, demonstrates and studies some of the profound connections between them. The authors discuss the application of different methods not only to the Cauchy problem that is not well-posed in the classical sense, but also to important generalizations: the Cauchy problem for inclusion and the Cauchy problem for second order equations. Accessible to nonspecialists and beginning graduate students, this volume brings together many different ideas to serve as a reference on modern methods for abstract linear evolution equations.

First line

For simplicity, let = (0, 1).

Details

  • Title Abstract Cauchy Problems: Three Approaches
  • Author Irina V. Melnikova; Alexei Filinkov
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Pages 258
  • Volumes 1
  • Language ENG
  • Publisher CRC Press
  • Date 2001-03-27
  • ISBN 9781584882503 / 1584882506
  • Weight 1.19 lbs (0.54 kg)
  • Dimensions 9.21 x 6.14 x 0.63 in (23.39 x 15.60 x 1.60 cm)
  • Library of Congress subjects Cauchy problem
  • Library of Congress Catalog Number 2001017069
  • Dewey Decimal Code 515.35

Media reviews

Citations

  • Scitech Book News, 09/01/2001, Page 47
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Abstract Cauchy Problems: Three Approaches
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Abstract Cauchy Problems: Three Approaches

by Jeffrey, Alan (Series edited by)/ Brezis, Haim (Series edited by)/ Douglas, Ronald G. (Series edited by)/ Melnikova, Irina V. (Author)/ Filinkov, Alexei (Author)

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Abstract Cauchy Problems: Three Approaches
Stock Photo: Cover May Be Different

Abstract Cauchy Problems: Three Approaches

by Irina V. Melnikova

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9781584882503
ISBN 10
1584882506
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