This is a preview. Log in through your library . Abstract We construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the ...
We show that for every potential space $L_{K}^{1}(\mathbb{R}^n)$, there exists an approach region for which the associated maximal function is of weak-type, but the ...
Abstract: Polynomial Lyapunov function $\mathcal{V}({\mathbf{x}})$ provides mathematically rigorous that converts stability analysis into efficiently solvable optimization problem. Traditional ...
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