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Browse Dissertations and Theses  Mathematics by Contributor "Jared Bronski"
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(2006)We consider the KuramotoSivashinsky equation in one dimension with periodic boundary conditions. We apply a Lyapunov function argument similar to the one first introduced by Nicolaenko, Scheurer, and Temam, and later ...
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(2009)We consider a class of nonlinear Schrodinger equations in N = 3, 4, 5 space dimensions with an attractive potential. The nonlinearity is local but rather general encompassing for the first time both subcritical and ...
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(2009)We adapt Weinberger's method from the corresponding free membrane problem, taking the fundamental modes of the unit ball as trial functions. These solutions are a linear combination of Bessel and modified Bessel functions.
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(2003)We consider the problem of constructing an asymptotic representation of solutions for several classes of systems of linear difference equations with variable coefficients as well as determining the stability or instability ...
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Now showing items 14 of 4