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• W1808971361 abstract "Consider the global wellposedness problem for nonlinear Schrodinger equation [ ipartial_t u = [-tfrac{1}{2} Delta + V(x)] u pm |u|^{4/(d-2)} u, u(0) in Sigma(mathbf{R}^d), ] where $Sigma$ is the weighted Sobolev space $dot{H}^1 cap |x|^{-1} L^2$. The case $V(x) = tfrac{1}{2}|x|^2$ was recently treated by the author. This note generalizes the results to a class of approximately quadratic potentials. We closely follow the previous concentration compactness arguments for the harmonic oscillator. A key technical difference is that in the absence of a concrete formula for the linear propagator, we apply more general tools from microlocal analysis, including a Fourier integral parametrix of Fujiwara." @default.
• W1808971361 created "2016-06-24" @default.
• W1808971361 creator A5004378901 @default.
• W1808971361 date "2014-11-18" @default.
• W1808971361 modified "2023-09-27" @default.
• W1808971361 title "Energy-critical NLS with potentials of quadratic growth" @default.
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