The discreteness of spectrum for higher-order differential operators in the weighted function spaces

Authors

  • Maozhu Zhang Inner Mongolia University, Taishan University
  • Jiong Sun Inner Mongolia University
  • Jijun Ao

Keywords:

differential operators, spectrum, discreteness

Abstract

In this paper we consider the discreteness of spectrum for higher-order differential operators in the weighted function spaces. Using the method of the embedding theorems of weighted Sobolev spaces $H_p^n$ in weighted spaces $L_{s,r}$, we obtain a new sufficient and necessary condition to ensure that the spectrum is discrete, which can be easily used to judge the discreteness of some differential operators. 10.1017/S0004972712000688

Published

2012-10-22

Issue

Vol. 86 No. 3 (2012)

Section

Articles
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