Year: 2012
Type: preprint
Abstract: In this paper the author considers the global existence and well-posedness of the non-linear wave equation $\partial_t^2 u - Δu = -|u|^{p-1} u$ 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
Source: arXiv (Cornell University)
Author: Shen, Ruipeng
Institution: University of Chicago
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1744484155