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We consider the chemotaxis-consumption system \[  \left\{  \begin{aligned}  u_t &= \Delta u - \chi \nabla \cdot (u\nabla v) \\  v_t &= \Delta v - uv  \end{aligned}  \right. \] in a smooth bounded domain $\Omega \subseteq \mathbb{R}^n$, $n\geq 2$, with parameter $\chi > 0$ and Neumann boundary conditions. It is wellknown that, for sufficiently smooth nonnegative initial data and under asmallness condition for the initial state of $v$, solutions of the above systemnever blow up and are even globally bounded. Going in a sense a step further inthis paper, we ask the question whether the system can even recover from aninitial state that already resembles measure-type blowup. To answer this, weshow that, given an arbitrarily large positive Radon measure $u_0$ with$u_0(\overline{\Omega}) > 0$ as the initial data for the first equation and anonnegative $L^\infty(\Omega)$ function $v_0$ with \[  0 < \|v_0\|_{L^{\infty}(\Omega)} < \frac{2}{3n\chi} \] as initial data forthe second equation, it is still possible to construct a global classicsolution to the above system.

Can a chemotaxis-consumption system recover from a measure-type aggregation state in arbitrary dimension?