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- W3026754051 abstract "For the 5D energy-critical wave equation, we construct excited $N$-solitons with collinear speeds, i.e. solutions $u$ of the equation such that begin{equation*} lim_{tto+infty}bigg|nabla_{t,x}u(t)-nabla_{t,x}bigg(sum_{n=1}^{N}Q_{n}(t)bigg)bigg|_{L^{2}}=0, end{equation*} where for $n=1,ldots,N$, $Q_n(t,x)$ is the Lorentz transform of a non-degenerate and sufficiently decaying excited state, each with different but collinear speeds. The existence proof follows the ideas of Martel-Merle and Cote-Martel developed for the energy-critical wave and nonlinear Klein-Gordon equations. In particular, we rely on an energy method and on a general coercivity property for the linearized operator." @default.
- W3026754051 created "2020-05-29" @default.
- W3026754051 creator A5007747217 @default.
- W3026754051 date "2020-05-23" @default.
- W3026754051 modified "2023-09-27" @default.
- W3026754051 title "Construction of excited multi-solitons for the 5D energy-critical wave equation" @default.
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