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- W2792426524 abstract "In this paper, we obtain the global well-posedness and scattering for the radial solution to the defocusing conformal invariant nonlinear wave equation with initial data in the critical Besov space $dot{B}^3_{1,1}timesdot{B}^2_{1,1}(mathbb{R}^5)$. This is the five dimensional analogue of cite{dodson-2016}, which is the first result on the global well-posedness and scattering of the energy subcritical nonlinear wave equation without the uniform boundedness assumption on the critical Sobolev norms employed as a substitute of the missing conservation law with respect to the scaling invariance of the equation. The proof is based on exploiting the structure of the radial solution, developing the Strichartz-type estimates and incorporation of the strategy in cite{dodson-2016}, where we also avoid a logarithm-type loss by employing the inhomogeneous Strichartz estimates." @default.
- W2792426524 created "2018-03-29" @default.
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- W2792426524 date "2020-03-17" @default.
- W2792426524 modified "2023-09-27" @default.
- W2792426524 title "The global well-posedness and scattering for the 5-dimensional defocusing conformal invariant NLW with radial initial data in a critical Besov space" @default.
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- W2792426524 doi "https://doi.org/10.2140/pjm.2020.305.251" @default.
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