Sobolev space
Wavelets in weighted sobolev space
... In this paper, we extend the wavelet transform, which we defined on L2R, dt, to weighted Sobolev space B k and boundedness properties will be investigated.. Asymptotic properties for sma[r] ...
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Sobolev space, Besov space and Triebel Lizorkin space on the Laguerre hypergroup
... a Sobolev space on the dual of the Laguerre hyper- group and a generalized Besov space on the Laguerre ...a Sobolev space on the Laguerre hypergroup by the Bessel ...Besov space ...
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On the completeness and the basis property of the modified Frankl problem with a nonlocal oddness condition in the Sobolev space \((W^{1} {p}(0,\pi))\)
... The classical Frankl problem was considered in []. The problem was further developed in [], pp.-, [], pp.-. The modified Frankl problem with a nonlocal bound- ary condition of the first kind was studied in ...
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Existence of homoclinic orbits for a class of p-Laplacian systems in a weighted Sobolev space
... Poincaré []. Up to the year of , a few of isolated results can be found, and the only method for dealing with such a problem was the small perturbation technique of Melnikov. Recently, the existence and multiplicity ...
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Probabilistic linear widths of Sobolev space with Jacobi weights on \([ 1,1]\)
... This paper mainly focuses on the study of probabilistic linear (n, δ)-widths of a Sobolev space with Jacobi weights on the interval [–, ]. This problem has been investigated only recently. For calculation ...
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A note on the existence of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting
... So, in the discussions, some special techniques are needed, and the problem (.) has been studied in an Orlicz-Sobolev space and received considerable attention in recent years; see, for instance, the ...
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Existence of Weak Solutions for a Class of Quasilinear Parabolic Problems in Weighted Sobolev Space
... Sobolev space. By building up the compact imbedding in weighted Sobolev space and extending Galerkin’s method to a new class of nonlinear problems, we drive out that there exists at least one ...
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WAVELET PACKETS IN WEIGHTED SOBOLEV SPACE
... Organization of the paper. Section 2, perform some splitting tricks over wavelets to construct basic wavelet packets in weighted Sobolev space. In section 3, MRA based wavelet packet functions and their ...
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Hypersingular Marcinkiewicz Integrals along Surface with Variable Kernels on Sobolev Space and Hardy Sobolev Space
... Research Article Hypersingular Marcinkiewicz Integrals along Surface with Variable Kernels on Sobolev Space and Hardy-Sobolev Space Wei Ruiying and Li Yin School of Mathematics and Infor[r] ...
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Rate of Convergence in Sobolev Space
... Abstract. In this paper, a new theorem on degree of approximation in L 2 p (Ω) Sobolev space of in- tegrable functions of two variables by Bernstein-Chlodowsky polnomials on an unbounded triangular domain ...
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The Cauchy problem for the seventh-order dispersive equation in Sobolev space
... 1 College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, P.R.. 2 Henan.[r] ...
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Sobolev space estimates for solutions of the equation ∂¯u=f on polycylinders
... In trying to improve Weinstock’s results on approximation by holomorphic functions on certain product domains, we are led to estimates in Sobolev spaces for the ∂-operator on polycylinders for (γ, q)-forms. This ...
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Nonlinear problem with subcritical exponent in Sobolev space
... We consider the problem of the scalar curvature on the standard four dimensional half sphere under minimal boundary conditions S:.. This article is distributed under the terms of the Cre[r] ...
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The refinement and generalization of Hardy’s inequality in Sobolev space
... Abstract In this paper, we refine the proof of Hardy’s inequality in Evans in Partial Differential Equations, 2010, Hardy in Inequalities, 1952 and extend Hardy’s inequality from two u to [r] ...
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Imbedding inequalities for the composite operator in the Sobolev spaces of differential forms
... In this section, we prove a local imbedding inequality for the composition of Green’s op- erator and the homotopy operator in the weighted (, p)-Sobolev space when n < p < ∞ . It should be pointed ...
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Multivariate box spline wavelets in higher dimensional Sobolev spaces
... Inspired by the works mentioned, in this paper, we study nonseparable wavelets in a higher-dimensional Sobolev space by using a multivariate box spline. To the best of our knowledge, no previous studies of ...
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ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES
... Proposition 2.2 (see [18, 24]). Assume that Ω is a bounded domain and has a Lipchitz boundary ∂Ω. Then the embedding W 1,p (Ω) , → L r (∂Ω) is compact provided 1 ≤ r < p ∗ . Remark 2.1. By help of the assumption (4), ...
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Convergence of Multilevel Stationary Gaussian Convolution
... periodic Sobolev space, whose order prescribes the smoothness of the functions, then we see improved but saturated convergence ...tive space of the Gaussian, a space of infinitely ...
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Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
... exponent Sobolev functions. By a Lusin-type approximation we mean that the Sobolev function coincides with a continuous Sobolev function outside a small exceptional ...exponent Sobolev ...
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Wave-breaking criterion and global solution for a generalized periodic coupled Camassa-Holm system
... the Sobolev space H s (S) × H s–1 (S) with s > 3 2 by employing the localization analysis in the transport equation theory and a sufficient condition of global existence for the system is derived in the ...
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