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Hypoelliptic differential operators with generalized constant coefficients
Published online by Cambridge University Press: 20 January 2009
Abstract
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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.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 1 , February 1998 , pp. 47 - 60
- Copyright
- Copyright © Edinburgh Mathematical Society 1998
References
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