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Rachid Fahlaoui 《Mathematische Annalen》1989,283(1):171-176
Sans résumé 相似文献
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The aim of this paper is to analyze the heat semigroup ${(\mathcal{N}_{t})_{t >0 } = \{e^{t \Delta}\}_{t >0 }}$ generated by the usual Laplacian operator Δ on ${\mathbb{R}^{d}}$ equipped with the d-dimensional Lebesgue measure. We obtain and study, via a method involving some semigroup techniques, a large family of functional inequalities that does not exist in the literature and with the local Poincaré and reverse local Poincaré inequalities as particular cases. As a consequence, we establish in parallel a new functional and integral inequality related to the Ornstein–Uhlenbeck semigroup. 相似文献
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The aim of this work is to derive an accurate model of two-dimensional switched control heating system from data generated by a Finite Element solver. The nonintrusive approach should be able to capture both temperature fields, dynamics and the underlying switching control rule. To achieve this goal, the algorithm proposed in this paper will make use of three main ingredients: proper orthogonal decomposition (POD), dynamic mode decomposition (DMD) and artificial neural networks (ANN). Some numerical results will be presented and compared to the high-fidelity numerical solutions to demonstrate the capability of the method to reproduce the dynamics. 相似文献
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We study the semigroup (P
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t≥0 generated by the operator
L:=(1-x2)\fracd2dx2-x \fracddx\mathcal{L}:=(1-x^{2}){\frac{d^{2}}{dx^{2}}}-x\,{\frac{d}{dx}} 相似文献
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Ukrainian Mathematical Journal - We present an analog of Hardy’s and Miyachi’s theorems for the first Hankel–Clifford transform. 相似文献
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