Proves that the squared norm of solutions to elliptic equations in divergence form decays inversely with boundary frequency in interior subdomains under Lipschitz coefficient assumptions.
Mandache, Exponential instability in an inverse problem for the Schr¨ odinger equa- tion, Inverse Problems 17 (2001) 1435–1444
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Interior decay of solutions to elliptic equations with respect to frequencies at the boundary
Proves that the squared norm of solutions to elliptic equations in divergence form decays inversely with boundary frequency in interior subdomains under Lipschitz coefficient assumptions.