Uniqueness Problems for Degenerating Equations and Nonclassical Problems: 22 (Inverse and Ill-Posed Problems Series, 22) - Hardcover

Shishatskii, S. P.; Asanov, A.; Atamanov, E. R.

Hardcover

ISBN 10: 9067643416 ISBN 13: 9789067643412

Publisher: VSP International Science Publishers, 2001

Synopsis

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. The study of Cauchy problems for degenerating equations and systems is a wide and actively developing area. However, the majority deals mainly with Cauchy problems for hyperbolic equations and systems and characteristic Cauchy problems for parabolic equations and systems. This volume in the Inverse and Ill-Posed Problems Series presents the results that were obtained on uniqueness for the main (ill-posed in the regular case) Cauchy problems for equations of the second order with exponential degeneracy. The Cauchy problem for a degenerating elliptic equation, the noncharacteristic Cauchy problem, and the mixed problem with reversed time for a degenerating parabolic equation are considered. Stability estimates that guarantee conditional well-posedness of the considered Cauchy problems in terms of the inverse problems theory are given, along with uniqueness theorems.

About this title

Synopsis

The study of Cauchy problems for degenerating equations and systems is a wide and actively developing area. However, the majority deals mainly with Cauchy problems for hyperbolic equations and systems and characteristic Cauchy problems for parabolic equations and systems. This volume presents results that were obtained on uniqueness for the main (ill-posed in the regular case) Cauchy problems for equations of the second order with exponential degeneracy. The Cauchy problem for a degenerating elliptic equation, the noncharacteristic Cauchy problem, and the mixed problem with reversed time for a degenerating parabolic equation are considered. Stability estimates that guarantee conditional well-posedness of the considered Cauchy problems in terms of the inverse problems theory are given, along with uniqueness theorems.

Edition details

• Publisher: VSP International Science Publishers
• Publication date: 2001
• Language: English
• ISBN 10: 9067643416
• ISBN 13: 9789067643412
• Binding: Hardcover
• Number of pages: 183