Hypoelliptic differential operators with generalized constant coefficients
1998 ◽
Vol 41
(1)
◽
pp. 47-60
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Keyword(s):
The space of Colombeau generalized functions is used as a frame for the study of hypoellipticity of a family of differential operators whose coefficients depend on a small parameter ε.There are given necessary and sufficient conditions for the hypoellipticity of a family of differential operators with constant coefficients which depend on ε and behave like powers of ε as ε→0. The solutions of such family of equations should also satisfy the power order estimate with respect to ε.
1983 ◽
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(1892)
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pp. 643-656
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pp. 447-472
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Vol 41
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1998 ◽
Vol 21
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