Adjoints of elliptic cone operators

Details Adjoints of elliptic cone operators Adjoints of elliptic cone operators

2001-08-13

arxiv.org/abs/math/0108095v1

Mathematics

Analysis of PDEs

40 pages, LaTeX, preliminary version

Scientific paper

We study the adjointness problem for the closed extensions of a general b-elliptic operator A in x^{-\nu}Diff^m_b(M;E), \nu>0, initially defined as an unbounded operator A:C_c^\infty(M;E)\subset x^\mu L^2_b(M;E)\to x^\mu L^2_b(M;E), \mu \in \R. The case where A is a symmetric semibounded operator is of particular interest, and we give a complete description of the domain of the Friedrichs extension of such an operator.

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