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math.SP1999
The reduced wave equation in layered materials
Willi Jager, Yoshimi Saito
Let H = -(1/m(x))L be the reduced wave operator defined on the N-dimensional Euclidean space, where \f L is the Laplacian. Here m(x) is a positive step function with possible count…
math.SP1999
On the spectrum of the reduced wave operator with cylindrical discontinuity
Willi Jager, Yoshimi Saito
Consider the differential operator H = -(1/m(x))L, where L is the N-dimensional Laplacian, in the weighted Hilbert space of square integrable functions on N-dimensional Euclidean s…
math.SP1999
Resolvent estimates of the Dirac operator
Chris Pladdy, Yoshimi Saito, Tomio Umeda
We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that t…