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math.CA2018★ 25 cited
Sharp resolvent estimates outside of the uniform boundedness range
Yehyun Kwon, Sanghyuk Lee
In this paper we are concerned with resolvent estimates for the Laplacian in Euclidean spaces. Uniform resolvent estimates for were shown by Kenig, Ruiz and Sogge \cite{KRS…
math.AP2018
Carleman estimates and boundedness of associated multiplier operators
Eunhee Jeong, Yehyun Kwon, Sanghyuk Lee
Let be the Laplacian or the wave operator . The following type of Carleman estimate is known to be true on a certain range of : \[ \|e^{v\cdot x}u\|_{L^q(…