UTTER 发表于 2025-3-25 03:35:49
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A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potentialdied in (Cuccagna and Maeda, Anal PDE 8(6):1289–1349, 2015; Cuccagna and Maeda, Ann PDE 7:16, 2021). As in (Cuccagna and Maeda, Ann PDE 7:16, 2021), we use the notion of refined profile, but unlike in (Cuccagna and Maeda, Ann PDE 7:16, 2021), we do not modify the modulation coordinates and do not se内行 发表于 2025-3-26 01:06:55
Dynamics of Solutions to the Gross–Pitaevskii Equation Describing Dipolar Bose–Einstein Condensatess. We describe the asymptotic behaviors of solutions for different initial configurations of the initial datum in the energy space, specifically for data below, above, and at the mass–energy threshold. We revisit some properties of powers of the Riesz transforms by means of the decay properties of t我不明白 发表于 2025-3-26 06:46:25
Nonlinear Schrödinger Equation with Singularitiesgular initial conditions and equations with a delta potential in three dimensions. The existence and uniqueness of solutions are proved in the Colombeau algebra setting and the notion of compatibility of solutions is explored.Motilin 发表于 2025-3-26 09:32:10
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Heat Equation with Inverse-Square Potential of Bridging Type Across Two Half-Linesem is the lowest energy (zero-momentum) mode of the transmission of the heat flow across a Grushin-type cylinder, a generalisation of an almost-Riemannian structure with compact singularity set. This and related models are reviewed, and the issue is posed of the analysis of the dispersive propertiesInstantaneous 发表于 2025-3-26 17:45:02
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