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Proof Via Theorem 3(i) the space [ B p, τ α ( A ) ] ϑ is interpolating between E p ( A ) and for any ϑ = 1 / ( α + 1 ) and τ = g ϑ.
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For these two classes of systems, we also provide an alternative stability proof via the construction of a novel Lyapunov functional.
For instance, Witten's conjecture regarding intersection numbers on the Deligne Mumford moduli space of stable Riemann surfaces has a fascinating connection to the Weil Petersson volume, which motivated Mirzakhani to give a proof via Teichmueller theory, hyperbolic geometry, and symplectic geometry.
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Diogo's work seems nice in this respect due to his focus on future proofing (via plugins).
The proof above (via convexity) of (1.1) was first presented in 1965 by Godunova [10], but this wonderful discovery seems not to have been observed very much until it was rediscovered and complemented in 2002 by Kaijser et al. [11].
Rigorous proofs via the Lyapunov-based approaches verify the finite-time stability of the closed-loop system.
The stability proofs via mass transportation and via regularity are presented in Sect. 5.
During the course of litigation, THI and THMI, however, had been made judgment-proof via a multi-year national conspiracy to defraud the creditors of THI and THMI by stealing their assets, concealing them in newly created companies, and placing the remaining shell in a Maryland state court receivership to conceal the conspiracy and avoid any scrutiny by outsiders - including the Plaintiff.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com