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Partial Differential Equations by Yu.V. Egorov & M.A. Shubin & P.C. Sinha
Microlocal Analysis and Hyperbolic Equations
Microlocal analysis is an important method, which many results in the theory of Hamiltonian systems are based on. Another important field is the theory of hyperbolic operators and the Cauchy problem. This book gives an account of research in these fields. It contains two surveys in the field of partial differential equations.In the first part of this EMS volume, Yu.V. Egorov gives an account of microlocal analysis as a tool for investigating partial differential equations. This method has become increasingly important in the theory of Hamiltonian systems. Egorov discusses the evolution of singularities of a partial differential equation and covers topics like integral curves of Hamiltonian systems, pseudodifferential equations and canonical transformations, subelliptic operators and Poisson brackets. The second survey, written by V.Ya. Ivrii, treats linear hyperbolic equations and systems. The author states necessary and sufficient conditions for C and L2 -well-posedness and he studies the analogous problem in the context of Gevrey classes. He also gives the latest results in the theory of mixed problems for hyperbolic operators and a list of unsolved problems. Both parts cover recent research in an important field, which before was scattered in numerous journals. The book will hence be of immense value to graduate students and researchers in partial differential equations and theoretical physics. |
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| Author(s) : P.C. Sinha | Format : Hardback Book |
| ISBN-10 : 354053363X | ISBN-13 : 9783540533634 |
| RRP : £73.00 | Best available price : £ / $ |
| Prices as of : BST check live prices | |
Product Details:
Series Title : Encyclopaedia of mathematical sciences
Country Publication : Germany
Publication Date : 01/02/1993
Publisher : Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Page Length : VII, 241mm