Corpus ID: 152282270

Fefferman's Inequality and Unique Continuation Property of Elliptic Partial Differential Equations

  title={Fefferman's Inequality and Unique Continuation Property of Elliptic Partial Differential Equations},
  author={N. K. Tumalun and D. Hakim and H. Gunawan},
  journal={arXiv: Analysis of PDEs},
In this paper we prove a Fefferman's inequality for potentials belonging to a generalized Morrey space $ L^{p,\varphi} $ and a Stummel class $ \tilde{S}_{\alpha,p} $. Our result extends the previous Fefferman's inequality that was obtained in \cite{CF,F} for the case of Morrey spaces, and that in \cite{Z1} for the case of Stummel classes, which was restated recently in \cite{CRR}. Using this inequality, we prove a strong unique continuation property of a second order elliptic partial… Expand


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