Local Hypoellipticity by Lyapunov Function
We treat the local hypoellipticity, in the first degree, for a class of abstract differential operators complexes; the ones are given by the following differential operators: Lj=∂/∂tj+(∂ϕ/∂tj)(t,A)A, j=1,2,…,n, where A:D(A)⊂H→H is a self-adjoint linear operator, positive with 0∈ρ(A), in a Hilbert sp...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2016-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/7210540 |