Uniform $L^ 2$-weighted Sobolev inequalities
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- by Filippo Chiarenza and Alberto Ruiz PDF
- Proc. Amer. Math. Soc. 112 (1991), 53-64 Request permission
Abstract:
We prove the inequality (1) for weights $w$ in a class which contains the class ${J_p},p > (n - 1)/2$, introduced by C. Fefferman and D. H. Phong in studying eigenvalues of Schrödinger operators. In our case, $C$ is independent of the lower order terms of $P$. As a consequence we prove unique continuation theorem for solutions of $\Delta + V,V$ in the same class.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 53-64
- MSC: Primary 46E35; Secondary 35J15
- DOI: https://doi.org/10.1090/S0002-9939-1991-1055768-5
- MathSciNet review: 1055768