Sebastian Bechtel

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math.AP2026

The Kato square root estimate with Robin boundary conditions

Sebastian Bechtel, Andreas RosÃ©n

We prove the Kato square root estimate for second-order divergence form elliptic operators $- d i v (A \nabla)$ on a bounded, locally uniform domain $D \subseteq R^{n}$ , for accr…

math.AP2025

Weighted non-autonomous $L^{q} (L^{p})$ maximal regularity for complex systems

Sebastian Bechtel

We show weighted non-autonomous $L^{q} (L^{p})$ maximal regularity for families of complex second-order systems in divergence form under a mixed regularity condition in space and time.…

The Kato square root estimate with Robin boundary conditions

Weighted non-autonomous Lq(Lp) maximal regularity for complex systems

Weighted non-autonomous $L^{q} (L^{p})$ maximal regularity for complex systems