Quasianalytic and nonquasianalytic solutions for a class of weakly hyperbolic Cauchy problems (Q2455606)

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Quasianalytic and nonquasianalytic solutions for a class of weakly hyperbolic Cauchy problems
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    Quasianalytic and nonquasianalytic solutions for a class of weakly hyperbolic Cauchy problems (English)
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    25 October 2007
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    The paper refers to the Cauchy problem for the one-dimensional wave equation where the coefficient \(a(t)\) is satisfying the weak hyperbolicity condition. One tries to characterize the modulus of continuity for \(a(t)\) in order to get Cauchy problem well-posed in quasianalytic and nonquasianalytic spaces.
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    wave equation
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    initial value problem
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    modulus of continuity
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    one-dimensional wave equation
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