Abstract Cauchy Problems: Three Approaches - Rilegato

Melnikova, Irina V.; Filinkov, Alexei

Rilegato

ISBN 10: 1584882506 ISBN 13: 9781584882503

Casa editrice: Chapman and Hall/CRC, 2001

Riassunto

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.

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Informazioni sull'autore

Melnikova, Irina V.; Filinkov, Alexei

Dettagli dell'edizione

• Editore: Chapman and Hall/CRC
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 1584882506
• ISBN 13: 9781584882503
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 258
• Contatto del produttore: Taylor and Francis, GPSR Taylor and Francis; gpsr@taylorandfrancis.com; ; Taylor & Francis Verlag GmbH, Kaufingerstraße 24; München; 80331; Germania