Adjoints of elliptic cone operators
偏微分方程分析
2023-10-24 v1 泛函分析
摘要
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.
引用
@article{arxiv.math/0108095,
title = {Adjoints of elliptic cone operators},
author = {Juan B. Gil and Gerardo A. Mendoza},
journal= {arXiv preprint arXiv:math/0108095},
year = {2023}
}
备注
40 pages, LaTeX, preliminary version