Titlebook: Hyperbolic Systems with Analytic Coefficients; Well-posedness of th Tatsuo Nishitani Book 2014 Springer International Publishing Switzerlan

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https://doi.org/10.1007/978-3-319-02273-435L45,35L40,35L55; Cauchy problem; Hyperbolic systems; Real analytic coefficients; Strongly hyperbolic; W

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Tatsuo NishitaniIncludes supplementary material:

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Prologue

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Two by Two Systems with Two Independent Variables,his necessary and sufficient condition we provide many instructive examples. For instance, we see that there are examples which are strictly hyperbolic apart from the initial line with polynomial coefficients such that the Cauchy problem is not . . well posed for any lower order term.

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Systems with Nondegenerate Characteristics,then there exists a smooth symmetrizer and hence the Cauchy problem for . is . . well posed for any lower order term. Finally we discuss about the stability of symmetric systems in the space of hyperbolic systems.

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0075-8434 ix coefficients. Mainly two questions are discussed:.(A) Under which conditions on lower order terms is the Cauchy problem well posed?.(B) When is the Cauchy problem well posed for any lower order term?.For first order two by two systems with two independent variables with real analytic coefficients

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