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pro vyhledávání: '"Erdogan M."'
We consider the higher order Schr\"odinger operator $H=(-\Delta)^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>4m$, $m\in \mathbb N$. We adapt our recent results for $m>1$ to show that when $H$ has a threshold eigenvalue the wave o
Externí odkaz:
http://arxiv.org/abs/2407.07069
Autor:
Erdogan, M. B., Tzirakis, N.
In this paper we study the effect of rotation on nonlinear wave phenomena in weakly dispersive media modeled by the Korteweg-de Vries equation on the real line. It is well known that smoothing in the case of the KdV equation with periodic boundary co
Externí odkaz:
http://arxiv.org/abs/2404.04353
We prove a family of dispersive estimates for the higher order Schr\"odinger equation $iu_t=(-\Delta)^mu +Vu$ for $m\in \mathbb N$ with $m>1$ and $2m
Externí odkaz:
http://arxiv.org/abs/2308.11745
We utilize exponential sum techniques to obtain upper and lower bounds for the fractal dimension of the graph of solutions to the linear Schr\"odinger equation on $\mathbb{S}^d$ and $\mathbb{T}^d$. Specifically for $\mathbb S^d$, we provide dimension
Externí odkaz:
http://arxiv.org/abs/2304.12363
Autor:
Erdogan, M. Burak, Green, William R.
We consider the higher order Schr\"odinger operator $H=(-\Delta)^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>2m$, $m\in \mathbb N$. We adapt our recent results for $m>1$ to show that the wave operators are bounded on $L^p(\mathbb
Externí odkaz:
http://arxiv.org/abs/2207.14264
We consider the higher order Schr\"odinger operator $H=(-\Delta)^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>4m-1$, $m\in \mathbb N$. We show that for any $\frac{2n}{n-4m+1}
Externí odkaz:
http://arxiv.org/abs/2206.12929
Astronomical sites occupying observing instruments have to be selected according to many factors. Among these factors, geographic location of the site and quality of atmosphere above the site play an important role in the decision process. The follow
Externí odkaz:
http://arxiv.org/abs/2110.01206
Autor:
Erdogan, M. Burak, Green, William
Publikováno v:
Advances in Mathematics Volume 404, Part B, 6 August 2022, 108450
We consider the higher order Schr\"odinger operator $H=(-\Delta)^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>2m$, $m\in \mathbb N$, $m>1$. When $n$ is odd, we prove that the wave operators extend to bounded operators on $L^p(\mat
Externí odkaz:
http://arxiv.org/abs/2107.09620
Artificial Light pollution (AL) in Turkey and in Turkish observatories between 2012--2020 have been studied using the archival data of Visible Infrared Imaging Radiometer Suite (VIIRS) instrument. The astroGIS database has been used in processing the
Externí odkaz:
http://arxiv.org/abs/2103.10456