Partial Differential Equations IV
Yu.V. Egorov, Yu.V. Egorov, M.A. Shubin, P.C. Sinha, V.Ya. Ivrii
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.
카테고리:
년:
1993
판:
1
출판사:
Springer
언어:
english
페이지:
123
ISBN 10:
354053363X
ISBN 13:
9783540533634
시리즈:
Encyclopaedia of Mathematical Sciences
파일:
PDF, 11.62 MB
IPFS:
,
english, 1993
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