most citedWell-posedness for the Non-integrable Periodic Fifth Order KdV in Bourgain Spaces

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.AP2023★ 1 cited

Well-posedness for the Non-integrable Periodic Fifth Order KdV in Bourgain Spaces

Ryan McConnell

We study well-posedness for a non-integrable generalization of the fifth order KdV, the second member in the KdV heirarchy. In particular, we use differentiation-by-parts to establ…

math.AP2023

Talbot Effect on the Sphere and Torus for

M. Burak Erdogan, Chi N. Y. Huynh, Ryan McConnell

We utilize exponential sum techniques to obtain upper and lower bounds for the fractal dimension of the graph of solutions to the linear Schrödinger equation on and…

math.AP2022

Non-linear Smoothing for the Periodic Generalized Non-linear Schrödinger Equation

Ryan McConnell

We consider the periodic non-linear Schrödinger equation with non-linearity given by for odd in dimension . We first establish that the difference between t…