5 citations · 7 across the 3 of their papers we have counts for
4 papers
Translation-Invariant Estimates for Operators with Simple Characteristics
Eemeli Blåsten, John Sylvester
We prove estimates and solvability for a variety of simply characteristic constant coefficient partial differential equations . These estimates \[||u||_{L^2(D_{r})…
Uncertainty principles for inverse source problems, far field splitting and data completion
Roland Griesmaier, John Sylvester
Starting with far field data of time-harmonic acoustic or electromagnetic waves radiated by a collection of compactly supported sources in two-dimensional free space, we develop cr…
Transmission Eigenvalues in One Dimension
John Sylvester
We show how to locate all the transmission eigenvalues for a one dimensional constant index of refraction on an interval.
Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators
John Sylvester
We show that the interior transmission eigenvalues are discrete by proving that the interior transmission operator has upper triangular compact resolvent, and that the spectrum of…