W. Troy

activity

19922024

most citedOn the solutions of the one dimensional Ginzburg-Landau equations for superconductivity

13 citations · 13 across the 6 of their papers we have counts for

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math.AP2022

Zero Energy Self-Similar Solutions Describing Singularity Formation In The Nonlinear Schrodinger Equation In Dimension N=3

William C. Troy

In dimension N=3 the cubic nonlinear Schrodinger equation has solutions which become singular, i.e. at a spatial point they blow up to infinity in finite time. In 1972 Zakharov fam…

math.AP2018

On $p$ -Harmonic Measures in Half Spaces

J. G. Llorente, J. J. Manfredi, W. C. Troy +1

For all $1 < p < \infty$ and $N \geq 2$ we prove that there is a constant $α (p, N) > 0$ such that the $p$ -harmonic measure in $R_{+}^{N}$ of a ball of radius $0 < δ \leq 1$ in $R^{N - 1}$ is bou…

Zero Energy Self-Similar Solutions Describing Singularity Formation In The Nonlinear Schrodinger Equation In Dimension N=3

On p-Harmonic Measures in Half Spaces

On $p$ -Harmonic Measures in Half Spaces