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- W1744484155 abstract "In this paper the author considers the global existence and well-posedness of the non-linear wave equation $partial_t^2 u - Delta u = -|u|^{p-1} u$ in 3-dimensional space, assuming that the initial data is in the space $(dot{H}^s cap dot{H}^{s_p}) times (dot{H}^{s-1} cap dot{H}^{s_p-1})$, with $11/3<p<5$, $s_p = 3/2 - 2/(p-1)$ and $s$ sufficiently close to 1. The main idea is to use the I-method and consider the almost conservation law of the energy." @default.
- W1744484155 created "2016-06-24" @default.
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- W1744484155 date "2012-05-21" @default.
- W1744484155 modified "2023-09-24" @default.
- W1744484155 title "I-method for Defocusing, Energy-Subcritical Non-linear Wave Equation" @default.
- W1744484155 cites W2073800838 @default.
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- W1744484155 doi "https://doi.org/10.48550/arxiv.1205.4739" @default.
- W1744484155 hasPublicationYear "2012" @default.
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