Two Separation Criteria for Second Order Ordinary or Partial Differential Operators

@inproceedings{Brown2002TwoSC,
  title={Two Separation Criteria for Second Order Ordinary or Partial Differential Operators},
  author={Richard C D Brown and Don Hinton},
  year={2002}
}
We generalize a well-known separation condition of Everitt and Giertz to a class of weighted symmetric partial differential operators defined on domains in n . Also, for symmetric second-order ordinary differential operators we show that lim sup t→c (pq′)′/q2 = θ < 2 where c is a singular point guarantees separation of −(py′)′ + qy on its minimal domain and extend this criterion to the partial differential setting. As a particular example it is shown that −∆y + qy is separated on its minimal… CONTINUE READING

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