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The module structure of the Sobolev limits | | Shiva Shankar
; | | Date: |
1 Apr 2009 | | Abstract: | This paper shows that the projective and inductive limits of the Sobolev
spaces are flat modules over the ring of constant coefficient partial
differential operators. This can be interpreted as a GAGA type result for the
affine space R^n, and as a response to a remark of V.I.Danilov [in Algeraic
Geometry II: Cohomology of Algebraic Varieties, EMS, 1995]. Such results also
appear in the theory of control of dynamical systems. | | Source: | arXiv, 0904.0088 | | Services: | Forum | Review | PDF | Favorites | |
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