Beyond gevrey regularity: Superposition and propagation of singularities
Keyword(s):
We propose the relaxation of Gevrey regularity condition by using sequences which depend on two parameters, and define spaces of ultradifferentiable functions which contain Gevrey classes. It is shown that such a space is closed under superposition, and therefore inverse closed as well. Furthermore, we study partial differential operators whose coefficients are less regular then Gevrey-type ultradifferentiable functions. To that aim we introduce appropriate wave front sets and prove a theorem on propagation of singularities. This extends related known results in the sense that assumptions on the regularity of the coefficients are weakened.
2011 ◽
Vol 285
(4)
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pp. 411-425
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2010 ◽
Vol 66
(2)
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pp. 153-181
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2013 ◽
Vol 254
(8)
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pp. 3228-3258
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Keyword(s):
1974 ◽
pp. 120-138
1983 ◽
Vol 8
(2)
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pp. 89-198
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1989 ◽
Vol 14
(1)
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pp. 1-25
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2004 ◽
Vol 297
(2)
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pp. 852-868
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