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- W2094644497 abstract "We study the Cauchy problem for second order hyperbolic operators $$P=D_{t}^{2}-D_{x}H(t,x)D_{x}$$ in the Gevrey classes where H(t,x) is given by the limit of a finite sum of functions such as a(t)b(x) with a(t) ≥ 0, b(x) ≥ 0. As a result, for any given positive integer N, we give an example H(t,x) which depends not only on t but also on x such that the Cauchy problem for P is well posed in the Gevrey class of order N." @default.
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- W2094644497 date "2006-11-10" @default.
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- W2094644497 title "An example of the Cauchy problem well posed in any Gevrey class" @default.
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- W2094644497 doi "https://doi.org/10.1007/s10231-006-0023-0" @default.
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