Strong unique continuation for m-th powers of a laplacian operator with singular coefficients

研究成果: Article同行評審

7 引文 斯高帕斯(Scopus)

摘要

In this paper we prove strong unique continuation for u satisfying an inequality of the form |δmu| ≤ f(x, u,Du, ⋯ ,D ku), where k is up to [3m/2]. This result gives an improvement of a work by Colombini and Grammatico (1999) in some sense. The proof of the main theorem is based on Carleman estimates with three-parameter weights |x| 1 (log |x|)2 exp( β/2 (log |x|)2).

原文English
頁(從 - 到)569-578
頁數10
期刊Proceedings of the American Mathematical Society
135
發行號2
DOIs
出版狀態Published - 2007 二月

All Science Journal Classification (ASJC) codes

  • 數學(全部)
  • 應用數學

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