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• W3012145145 abstract "In this paper we prove Fefferman's inequalities associated to potentials belonging to a generalized Morrey space $ L^{p,varphi} $ or a Stummel class $ tilde{S}_{alpha,p} $. Our results generalize and extend Fefferman's inequalities obtained in cite{CRR,CF,F,Z1}. We also show that the logarithmic of non-negative weak solution of second order elliptic partial differential equation, where its potentials are assumed in generalized Morrey spaces and Stummel classes, belongs to the bounded mean oscillation class. As a consequence, this elliptic partial differential equation has the strong unique continuation property. An example of an elliptic partial differential equation where its potential belongs to certain Morrey spaces or Stummel classes which does not satisfy the strong unique continuation is presented." @default.
• W3012145145 created "2020-03-23" @default.
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• W3012145145 date "2019-05-13" @default.
• W3012145145 modified "2023-09-26" @default.
• W3012145145 title "Fefferman's Inequality and Applications in Elliptic Partial Differential Equations" @default.
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• W3012145145 hasPublicationYear "2019" @default.
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