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Titlebook: New Trends in the Theory of Hyperbolic Equations; Michael Reissig,Bert-Wolfgang Schulze Book 2005 Birkhäuser Basel 2005 Cauchy problem.Hyp

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Mitsuhiro Nakaowhich I will call . assume that an idea or thought will be of that object in the world which in some way gets distinguished or picked out by it. On the other hand, accounts of mental reference which appeal to causal factors and which I will call . suppose that a thought will be of that object which
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Birkhäuser Basel 2005
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Operator Theory: Advances and Applicationshttp://image.papertrans.cn/n/image/666034.jpg
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Sharp Energy Estimates for a Class of Weakly Hyperbolic Operators,ic operators with finite time degeneracy at time . = 0. Then, in a second part, we show that these energy estimates are sharp for a wide range of examples. In particular, for these examples we precisely determine the loss of regularity that occurs in passing from the Cauchy data at . = 0 to the solutions.
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Michael Reissig,Bert-Wolfgang SchulzeSelf-contained presentation of the topics.Starting with a good motivation new ideas are presented in detail, open problems are added.Includes supplementary material:
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Global Existence in the Cauchy Problem for Nonlinear Wave Equations with Variable Speed of PropagatWe consider nonlinear wave equations with variable coefficients. Special attention is devoted to the parametric resonance phenomena.
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