Zobrazeno 1 - 8
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pro vyhledávání: '"Başakoğlu, Engin"'
We study the Boltzmann equation with the constant collision kernel in the case of spatially periodic domain $\mathbb{T}^d$, $d\geq 2$. Using the existing techniques from nonlinear dispersive PDEs, we prove the local well-posedness result in $L^{2,r}_
Externí odkaz:
http://arxiv.org/abs/2411.12140
We study the global well-posedness of the two-dimensional defocusing fourth-order Schr\"odinger initial value problem with power type nonlinearities $\vert u\vert^{2k}u$ where $k$ is a positive integer. By using the $I$-method, we prove that global w
Externí odkaz:
http://arxiv.org/abs/2308.06210
We prove that the Cauchy problem for the 2D quintic defocusing biharmonic Schr\"odinger equation is globally well-posed in the Sobolev spaces $H^s(\mathbb{R}^2)$ for $\frac{8}{7}
Externí odkaz:
http://arxiv.org/abs/2212.06487
Autor:
Başakoğlu, Engin, Gürel, T. Burak
We consider the Hirota-Satsuma system, a coupled KdV-type system, with periodic boundary conditions. The first part of the paper concerns with the smoothing estimates for the system. More precisely, it is shown that, for initial data in a Sobolev spa
Externí odkaz:
http://arxiv.org/abs/2204.12480
Autor:
Başakoğlu, Engin
In this paper we study the regularity properties of solutions to the Davey-Stewartson system. It is shown that for initial data in a Sobolev space, the nonlinear part of the solution flow resides in a smoother space than the initial data for all time
Externí odkaz:
http://arxiv.org/abs/2110.00818
Akademický článek
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Autor:
Başakoğlu, Engin
İz sınıfı operatörler tekil değerlerinin mutlak değerleri toplanılabilir tıkız operatörlerdir.C. Brislawn L2(X) üzerinde tanımlı bir iz sınıfı operatörun iz formülünün,bu operatorün alakalı çekirdeği tarafından belirlendiği
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_____10208::a1af1628b4477a31be8afcb6a33028f3
https://acikbilim.yok.gov.tr/handle/20.500.12812/73082
https://acikbilim.yok.gov.tr/handle/20.500.12812/73082
Autor:
Başakoğlu, Engin
Publikováno v:
SN Partial Differential Equations and Applications; August 2021, Vol. 2 Issue: 4
