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The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics, 1505)

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Description:The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral operators with a complex-valued phase function, which is a time function chosen suitably according to the geometry of the multiple characteristics. The correctness of the Cauchy problem in the Gevrey classes for operators with hyperbolic principal part is shown in the first part. In the second part, the correctness of the Cauchy problem for effectively hyperbolic operators is proved with a precise estimate of the loss of derivatives. This method can be applied to other (non) hyperbolic problems. The text is based on a course of lectures given for graduate students but will be of interest to researchers interested in hyperbolic partial differential equations. In the latter part the reader is expected to be familiar with some theory of pseudo-differential operators.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics, 1505). To get started finding The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics, 1505), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3540550186

Description: The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral operators with a complex-valued phase function, which is a time function chosen suitably according to the geometry of the multiple characteristics. The correctness of the Cauchy problem in the Gevrey classes for operators with hyperbolic principal part is shown in the first part. In the second part, the correctness of the Cauchy problem for effectively hyperbolic operators is proved with a precise estimate of the loss of derivatives. This method can be applied to other (non) hyperbolic problems. The text is based on a course of lectures given for graduate students but will be of interest to researchers interested in hyperbolic partial differential equations. In the latter part the reader is expected to be familiar with some theory of pseudo-differential operators.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics, 1505). To get started finding The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics, 1505), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics, 1505)

The Hyperbolic Cauchy Problem (Lecture Notes in Mathematics, 1505)

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