Results 71 to 80 of about 8,833 (226)
In line with the Trudinger–Moser inequality in the fractional Sobolev–Slobodeckij space due to [S. Iula, A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Zhang Caifeng
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Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform [PDF]
R. Radha, Sundaram Thangavelu
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Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces [PDF]
Peter Hellekalek +2 more
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Ghost effect from Boltzmann theory
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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Existence and Uniqueness Results of Fractional Differential Inclusions and Equations in Sobolev Fractional Spaces [PDF]
Safia Meftah +3 more
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ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
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On a pure traction problem for the nonlinear elasticity system in Sobolev spaces with variable exponents [PDF]
Zoubai Fayrouz +2 more
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This article develops a variational formulation for modeling a silicon semiconductor through a multiwell approach utilizing phosphorus atoms as a dopant substance. The variational formulation here developed may be used to find an optimal phosphorus density distribution concerning an originally silicon density, in order to maximize the electrical ...
Fabio Silva Botelho
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The Well-Posedness of Solutions for a Generalized Shallow Water Wave Equation
A nonlinear partial differential equation containing the famous Camassa-Holm and Degasperis-Procesi equations as special cases is investigated. The Kato theorem for abstract differential equations is applied to establish the local well-posedness of ...
Shaoyong Lai, Aiyin Wang
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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