Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions

G Camliyurt, CE Kenig - Nonlinear Analysis, 2023 - Elsevier
Scattering for radial bounded solutions of focusing supercritical wave equations in odd
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Large global solutions for nonlinear Schr\" odinger equations III, energy-supercritical cases

M Beceanu, Q Deng, A Soffer, Y Wu - arXiv preprint arXiv:1901.07709, 2019 - arxiv.org
In this work, we mainly focus on the energy-supercritical nonlinear Schr\" odinger equation,
$$ i\partial_ {t} u+\Delta u=\mu| u|^ pu,\quad (t, x)\in\mathbb {R}^{d+ 1}, $$ with $\mu=\pm1 …

Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds

A Bulut - American Journal of Mathematics, 2023 - muse.jhu.edu
We establish quantitative blow-up criteria below the scaling threshold for radially symmetric
solutions to the defocusing nonlinear Schr\" odinger equation with nonlinearity $| u|^ 6u …

Scattering for focusing supercritical wave equations in odd dimensions

G Camliyurt, CE Kenig - arXiv preprint arXiv:2201.04710, 2022 - arxiv.org
arXiv:2201.04710v3 [math.AP] 18 Jul 2023 Page 1 arXiv:2201.04710v3 [math.AP] 18 Jul 2023
Scattering for radial bounded solutions of focusing supercritical wave equations in odd …

Global Existence of Solutions of a Loglog Energy-Supercritical Klein–Gordon Equation

T Roy - Journal of Dynamics and Differential Equations, 2024 - Springer
We prove global existence of the solutions of the loglog energy-supercritical Klein–Gordon
equation∂ tt u-▵ u+ u=-| u| 4 n-2 u log γ log (10+| u| 2), with n∈{3, 4, 5}, 0< γ< γ n, and data …