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

• (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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• (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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