29 citations · 87 across the 7 of their papers we have counts for
8 papers
Bounds on the number of scattering poles of half-Laplacian in odd dimensions,
Ebru Toprak
We study the scattering poles of , where is a compactly supported, bounded and complex valued potential. We show that the resolvent operator has a mero…
On the Dirac operator for a test electron in a Reissner--Weyl--Nordström black hole spacetime
Michael K. -H. Kiessling, A. Shadi Tahvildar-Zadeh, Ebru Toprak
The present paper studies the Dirac Hamiltonian of a test electron with a domain of bi-spinor wave functions supported on the static region inside the Cauchy horizon of the subextr…
On general-relativistic hydrogen and hydrogenic ions
Michael K. -H. Kiessling, A. Shadi Tahvildar-Zadeh, Ebru Toprak
This paper studies how the static non-linear electromagnetic-vacuum spacetime of a point nucleus with negative bare mass affects the self-adjointness of the general-relativistic Di…
On the Fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances
Burak Erdogan, William R. Green, Ebru Toprak
We study the fourth order Schrödinger operator for a short range potential in three space dimensions. We provide a full classification of zero energy resonances and st…
On the Fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances
William R. Green, Ebru Toprak
We study the fourth order Schrödinger operator for a decaying potential in four dimensions. In particular, we show that the decay rate holds in the $L^1\t…
Dispersive estimates for massive Dirac operators in dimension two
M. Burak Erdoğan, William R. Green, Ebru Toprak
We study the massive two dimensional Dirac operator with an electric potential. In particular, we show that the decay rate holds in the setting if the th…