Exotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$

Krieger, JoachimDonninger, RolandHuang, MinSchlag, Wilhelm2013-01-092013-01-092013-01-09201410.1307/mmj/1409932630https://infoscience.epfl.ch/handle/20.500.14299/87719WOS:000342871500001For the critical focusing wave equation $\Box u = u^5$ on $\mathbb{R}^{3+1}$ in the radial case, we construct a family of blowup solutions which are obtained from the stationary solutions $W(r)$ by means of a dynamical rescaling $\lambda(t)\frac{1}{2}W(\lambda(t)r) +$ correction with $\lambda(t) \rightarrow\infty$ as $t\rightarrow 0$. The novelty here lies with the scaling law $\lambda(t)$ which eternally oscillates between various pure-power laws.critical wave equationblowup constructionExotic blow up solutions for the $\Box u^5$-focussing wave equation in $\mathbb{R}^3$text::journal::journal article::research article