Browse Dissertations and Theses - Mathematics by Contributor "Erdogan, Burak"

  • Du, Xiumin (2017-06-20)
    We study the almost everywhere pointwise convergence of the solutions to Schrödinger equations in $\mathbb{R}^2$. It is shown that $\lim_{t \to 0} e^{it\Delta}f(x) = f(x)$ almost everywhere for all $f \in H^s (\mathbb{R}^2)$ ...

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  • Demirbas, Seckin (2015-06-29)
    In the first part of this thesis we consider the cubic Schrödinger equation iu_t+Delta u =+/-|u|^2u, x in T_theta^2, t\in [-T,T], u(x,0)=u_0(x) in H^s(T_theta^2). T is the time of existence of the solutions and ...

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  • Shakan, George (2019-02-19)
    The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many products or many sums. We explore quantitative aspects of the problem over both the real numbers and finite fields of prime order.

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