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The Cauchy Problem for Hyperbolic Operators: Multiple Characteristics - Micro-Local...


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Click here to buy The Cauchy Problem for Hyperbolic Operators: Multiple Characteristics - Micro-Local... by  Karen Yagdjian. The Cauchy Problem for Hyperbolic Operators: Multiple Characteristics - Micro-Local...
by Karen Yagdjian
Sales Rank: 6489059
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$124.52
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on 12-6-2008
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  • Hardcover: 397 pages
  • Publisher: Akademie Verlag; 1st edition June 1997
  • Language: English
  • ISBN-10: 3055017390
  • ISBN-13: 978-3055017391
  • Product Dimensions: 9 x 7.7 x 1 inches
  • Shipping Weight: 2.1 pounds

    Publisher Description
    The goal of this book is a construction of the fundamental solution to the Cauchy problem for hyperbolic operators with multiple characteristics. Well-posedness of the problem in various functional spaces as well as a propagation of singularities of the solutions are investigated, too. Levy conditions described in the book allow to construct fundamental solutions. The approach represented in the book is essentially based on the zeros of the complete symbol of the operator. For operators with variable coefficients hyperbolicity conditions are formulated by means of these zeros similarly to Hadamard's conditions for operators with constant coefficient. This approach needs Fourier integral operators with inhomogeneous phase functions. Necessary knowledge on these ones is given, too.

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