Differential Equations

Abstract Cauchy Problems: Three Approaches

Name: Abstract Cauchy Problems: Three Approaches
Brand: Chapman and Hall/CRC
SKU: 9780367397470
Price: 11218.00 INR
Availability: InStock
ISBN: 9780367397470

Contributor(s): Melnikova, Irina V. Author , Filinkov, Alexei Author Format: Paperback

Paperback · ISBN 9780367397470

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Key Specifications

ISBN	9780367397470
Publisher	Chapman and Hall/CRC
Publication date	September 2019
Language	English
MRP	£70.99 GBP
Page count	260
Item weight	82 g

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.

Abstract Cauchy Problems: Three Approaches

Key Specifications

Melnikova, Irina V. Author

Filinkov, Alexei Author

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