Author

I. Kukavica

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Preprint Oct 2026

Persistence of conormal analyticity for the Euler equations in the half-space

We prove the persistence of conormal analyticity through the $H^r$ norm, with $r \geq 4$, for the 3D incompressible Euler equations in the half-space $\Omega = \mathbb{R}_+^3$. We also establish a lower bound on the radius of conormal analyticity which depends on $\|u\|_{H^r}$ and initial data. In particular, persisten...

B. Ingimarson, I. Kukavica, M. Sammartino · 0 citations

Preprint Sep 2026

Quantitative Decay for Linear Parabolic Equations

We establish sharp temporal lower bounds for the full spatial $L^2$-norm of energy solutions to $\partial_tu-\Delta u=vu$ on $\mathbb{R}^n$, with $n\geq3$. For global solutions, nonvanishing at a single time implies the lower bound $ce^{-Ct}$ when $v$ is small in the scale-invariant space $L^\infty_tL^{n/2}_x$, and $ce...

I. Kukavica, Qi Xu · 1 citation · ⚡1