Results 21 to 30 of about 32,191 (193)
Traces of multipliers in pairs of weighted Sobolev spaces
Journal of Function Spaces and Applications, 2005 We prove that the pointwise multipliers acting in a pair of fractional Sobolev spaces form the space of boundary traces of multipliers in a pair of weighted Sobolev space of functions in a domain.
Vladimir Maz'ya, Tatyana Shaposhnikova
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Final State Problem for the Dirac-Klein-Gordon Equations in Two Space Dimensions
Abstract and Applied Analysis, 2013 We study the final state problem for the Dirac-Klein-Gordon equations (DKG) in two space dimensions. We prove that if the nonresonance mass condition is satisfied, then the wave operator for DKG is well defined from a neighborhood at the origin in lower ...
Masahiro Ikeda
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Weighted Norm Estimates for Sobolev Spaces [PDF]
Transactions of the American Mathematical Society, 1987 We give sufficient conditions for estimates of the form\[∫|u(x)|qdμ(x)⩽C‖u‖s,p1,u∈Hs,p,{\int {\left | {u(x)} \right |} ^q}d\mu (x) \leqslant C\left \| u \right \|_{s,p}^1,\qquad u \in {H^{s,p}},\]to hold, whereμ(x)\mu (x)is a measure and‖u‖s,p{\left \| u \right \|_{s,p}}is the norm of the Sobolev spaceHs,p{H^{s,p}}.
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Sobolev–Hardy space with general weight
Journal of Mathematical Analysis and Applications, 2006 In this paper, the authors prove the following \(k\)th order Hardy inequality with general weight. Let \(\Omega\) be a bounded domain. Then, under the assumptions \((H_1)\) and \((H_2)\), for each positive integer \(k\) the inequality \[ \int_{\Omega}\phi|\nabla u|^2\,dx-\int_{\Omega}\phi\sum_{i=1}^{k}\left(\frac{h_i'}{h_i}\right)^2u^2\,dx\geq\int_ ...
Shen, Yaotian, Chen, Zhihui
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Carleson measures for weighted Hardy-sobolev spaces [PDF]
Nagoya Mathematical Journal, 2007 AbstractWe obtain characterizations of positive Borel measures µ on Bn so that some weighted Hardy-Sobolev are imbedded in Lp(dµ), where w is an Ap weight in the unit sphere of Cn.
Cascante, Carme, Ortega, Joaquin M.
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Existence of functions in weighted sobolev spaces [PDF]
Nagoya Mathematical Journal, 2001 The aim of this paper is to determine when there exists a quasicontinuous Sobolev function whose trace is the characteristic function of a bounded set where with As application we discuss the existence of harmonic measures for weighted p-Laplacians in the unit ball.
Futamura, Toshihide, Mizuta, Yoshihiro
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, 2011 We study in detail Hodge-Helmholtz decompositions in non-smooth exterior domains filled with inhomogeneous and anisotropic media. We show decompositions of alternating differential forms belonging to weighted Sobolev spaces into irrotational and ...
Colton +12 more
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Weighted Sobolev inequalities in CD(0,N) spaces [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2021 In this note, we prove global weighted Sobolev inequalities on non-compact CD(0,N) spaces satisfying a suitable growth condition, extending to possibly non-smooth and non-Riemannian structures a previous result from [V. Minerbe,G.A.F.A.18(2009) 1696–1749] stated for Riemannian manifolds with non-negative Ricci curvature.
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Existence of Solution of Space–Time Fractional Diffusion-Wave Equation in Weighted Sobolev Space
Advances in Mathematical Physics, 2020 In this paper, we consider Cauchy problem of space-time fractional diffusion-wave equation. Applying Laplace transform and Fourier transform, we establish the existence of solution in terms of Mittag-Leffler function and prove its uniqueness in weighted ...
Kangqun Zhang
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Open Mathematics, 2016 We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients.
Guliyev Vagif S., Omarova Mehriban N.
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