G- and G∞-hypoellipticity of partial differential operators with constant Colombeau coefficients
We provide a deep investigation of the notions of G- and G∞-hypoellipticity for partial differential operators with constant Colombeau coefficients. This involves generalized polynomials and fundamental solutions in the dual of a Colombeau algebra. Sufficient conditions and necessary conditions for...
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| Format: | Default Article |
| Published: |
2010
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| Online Access: | https://hdl.handle.net/2134/17316 |
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