Asymptotic Behaviour of Resonance Eigenvalues of the Schr\'odinger operator with a Matrix Potential

Autor: Karakılıç, Sedef, Akduman, Setenay, Coşkan, Didem

We will discuss the asymptotic behaviour of the eigenvalues of Schr\"{o}dinger operator with a matrix potential defined by Neumann boundary condition in $L_2^m(F)$, where $F$ is $d$-dimensional rectangle and the potential is a $m \times m$ matrix wit

Externí odkaz: http://arxiv.org/abs/1505.05037

Non-linear Schrödinger Equation on Discrete Graphs

Autor: Akduman, Setenay, Karakılıç, Sedef

The nonlinear Schrödinger equation with growing potential has been extensively studied by both mathematicians and physicists from the fundamental well-posedness of Cauchy problem to the existence and stability of standing waves.In this talk, we deal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2605::613c0957764f3bf3b9e2e1efee55f446
https://avesis.deu.edu.tr/publication/details/81133436-e657-4810-bbec-d90504f56078/oai

On The Unstable Eigenvalues Of A Polyharmonic Operator

Autor: Karakılıç, Sedef, Akduman, Setenay

We consider a matrix operator,ܸ + (Δ(݈, ܸ) = (−ܪin ܴௗ , ݀ ≥ 2,ଵଶ< ݈ < 1 , where ܸ is the multiplication operator by a symmetric ݏݔݏ matrixܸ(ݔ (which is periodic with respect to an arbitrary lattice. It is well-known that theei

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2605::9a2a122c92ab247a476106ad54174cde
https://avesis.deu.edu.tr/publication/details/abf320f0-0f6f-422a-af34-e0e26a77d7fe/oai

Perturbation of the Non-Resonance Eigenvalue of a Polyharmonic Matrix Operator.

Autor: Karakılıç, Sedef

Publikováno v: Dokuz Eylul University Muhendislik Faculty of Engineering Journal of Science & Engineering / Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi; eyl2020, Vol. 22 Issue 66, p725-733, 9p

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