共查询到20条相似文献,搜索用时 31 毫秒
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In this paper, we consider the Cauchy problem for a two-phase model with magnetic field in three dimensions. The global existence and uniqueness of strong solution as well as the time decay estimates in are obtained by introducing a new linearized system with respect to for constants and , and doing some new a priori estimates in Sobolev Spaces to get the uniform upper bound of in norm. 相似文献
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In this paper, by using Picard–Fuchs equations and Chebyshev criterion, we study the upper bounds of the number of limit cycles given by the first order Melnikov function for discontinuous differential systems, which can bifurcate from the periodic orbits of quadratic reversible centers of genus one (r19): , , and (r20): , , and the periodic orbits of the quadratic isochronous centers , , and , . The systems (r19) and (r20) are perturbed inside the class of polynomial differential systems of degree n and the system and are perturbed inside the class of quadratic polynomial differential systems. The discontinuity is the line . It is proved that the upper bounds of the number of limit cycles for systems (r19) and (r20) are respectively and counting the multiplicity, and the maximum numbers of limit cycles bifurcating from the period annuluses of the isochronous centers and are exactly 5 and 6 (counting the multiplicity) on each period annulus respectively. 相似文献
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Carme Cascante Joan Fàbrega Joaquín M. Ortega 《Journal of Mathematical Analysis and Applications》2018,457(1):722-750
In this paper we characterize the boundedness of the bilinear form defined by in the product of homogeneous Sobolev spaces , . We deduce a characterization of the space of pointwise multipliers from to its dual in terms of trace measures. 相似文献
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Let be an isometric immersion from a Riemannian n-manifold into a Euclidean m-space. Denote by Δ and the Laplace operator and the position vector of M, respectively. Then M is called biharmonic if . The following Chen?s Biharmonic Conjecture made in 1991 is well-known and stays open: The only biharmonic submanifolds of Euclidean spaces are the minimal ones. In this paper we prove that the biharmonic conjecture is true for -ideal and -ideal hypersurfaces of a Euclidean space of arbitrary dimension. 相似文献
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Tristan Roy 《Journal of Differential Equations》2018,264(9):6013-6024
The purpose of this corrigendum is to point out some errors that appear in [1]. Our main result remains valid, i.e scattering of solutions of the loglog energy-supercritical Schrödinger equation , , , with , radial data but with slightly different values of , i.e if and if . We propose some corrections. 相似文献
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Wassim Nasserddine 《Comptes Rendus Mathematique》2017,355(5):543-548
Let G be a separable locally compact group with type-I left regular representation, its dual and its Fourier algebra. We prove an analogue of Parseval's theorem and that the mapping is an isometric isomorphism of Banach spaces from onto . 相似文献
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Davide Barbieri Carlos Cabrelli Eugenio Hernández Peter Luthy Ursula Molter Carolina Mosquera 《Comptes Rendus Mathematique》2018,356(1):107-113
In this note, we investigate the existence of frames of exponentials for in the setting of LCA groups. Our main result shows that sub-multitiling properties of with respect to a uniform lattice Γ of guarantee the existence of a frame of exponentials with frequencies in a finite number of translates of the annihilator of Γ. We also prove the converse of this result and provide conditions for the existence of these frames. These conditions extend recent results on Riesz bases of exponentials and multitilings to frames. 相似文献
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