Elliptic Partial Differential Operators And Symplectic Algebra
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Elliptic Partial Differential Operators and Symplectic Algebra
Author | : William Norrie Everitt |
Publisher | : American Mathematical Soc. |
Total Pages | : 130 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821832352 |
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This investigation introduces a new description and classification for the set of all self-adjoint operators (not just those defined by differential boundary conditions) which are generated by a linear elliptic partial differential expression $A(\mathbf{x}, D)=\sum_{0\, \leq\, \left s\right \, \leq\,2m}a_{s} (\mathbf{x})D DEGREES{s}\;\text{for all}\;\mathbf{x}\in\Omega$ in a region $\Omega$, with compact closure $\overline{\Omega}$ and $C DEGREES{\infty }$-smooth boundary $\partial\Omega$, in Euclidean space $\mathbb{E} DEGREES{r}$ $(r\geq2).$ The order $2m\geq2$ and the spatial dimensio
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