Results 21 to 30 of about 27,119 (279)

The Trace Theorem for Anisotropic Sobolev — Slobodetskii Spaces with Applications to Nonhomogeneous Elliptic BVPs

Известия Алтайского государственного университета, 2018
In this paper, anisotropic Sobolev — Slobodetskii spaces in poly-cylindrical domains of any dimension N are considered. In the first part of the paper we revisit the well-known Lions — Magenes Trace Theorem (1961) and, naturally, extend regularity ...
С.А. Саженков, Е.В. Саженкова   +1 more
doaj   +1 more source

Efficient Resolution of Anisotropic Structures [PDF]

, 2014
We highlight some recent new delevelopments concerning the sparse representation of possibly high-dimensional functions exhibiting strong anisotropic features and low regularity in isotropic Sobolev or Besov scales. Specifically, we focus on the solution
A. Buffa, A. Cohen, A. Cohen, A. Cohen, A. Cohen, A. Gerner, B.K. Alpert, D.L. Donoho, D.L. Donoho, E.J. Candès, E.J. King, G. Kutyniok, G. Kutyniok, G. Kutyniok, G. Kutyniok, G. Rozza, G. Widmer, H.-J. Bungartz, J.W. Barrett, K. Grella, K. Grella, L. Chen, L. Demkowicz, L.F. Demkowicz, M.F. Modest, P. Binev, P. Kittipoom, P.B. Bochev, R. DeVore, S. Sen, V. Dolejsi, W. Dahmen, W. Dahmen, W.-Q Lim, Z. Cai   +34 more
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Anisotropic regularity principle in sequence spaces and applications [PDF]

Communications in Contemporary Mathematics, 2018
We refine a recent technique introduced by Pellegrino, Santos, Serrano and Teixeira and prove a quite general anisotropic regularity principle in sequence spaces. As applications, we generalize previous results of several authors regarding Hardy–Littlewood inequalities for multilinear forms.
Albuquerque, Nacib, Rezende, Lisiane
openaire   +2 more sources

Directional Multifractal Analysis in the Lp Setting

Journal of Function Spaces, 2019
The classical Hölder regularity is restricted to locally bounded functions and takes only positive values. The local Lp regularity covers unbounded functions and negative values. Nevertheless, it has the same apparent regularity in all directions. In the
Mourad Ben Slimane, Ines Ben Omrane, Moez Ben Abid, Borhen Halouani, Farouq Alshormani   +4 more
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Embedding of vector-valued Morrey spaces and separable differential operators [PDF]

Bulletin of Mathematical Sciences, 2019
The paper is the first part of a program devoted to the study of the behavior of operator-valued multipliers in Morrey spaces. Embedding theorems and uniform separability properties involving E-valued Morrey spaces are proved.
Maria Alessandra Ragusa, Veli Shakhmurov
doaj   +1 more source

Partial Regularity Under Anisotropic (p, q) Growth Conditions

Journal of Differential Equations, 1994
Let \(\Omega\) be an open subset of \(\mathbb{R}^ n\), \(f: \mathbb{R}^{n\cdot N}\to \mathbb{R}\) be a function of class \(C^ 2\) satisfying the inequality \(|\xi|^ p\leq f(\xi)\leq C(1+ |\xi|^ q)\) for any \(\xi\in \mathbb{R}^{n\cdot N}\), and set \[ F(u)= \int_ \Omega f(Du)dx \] for any \(u\in W^{1,p}(\Omega,\mathbb{R}^ N)\).
E. ACERBI, FUSCO, NICOLA
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Uniqueness of Closed Equilibrium Hypersurfaces for Anisotropic Surface Energy and Application to a Capillary Problem

Mathematical and Computational Applications, 2019
We study a variational problem for hypersurfaces in the Euclidean space with an anisotropic surface energy. An anisotropic surface energy is the integral of an energy density that depends on the surface normal over the considered hypersurface, which was ...
Miyuki Koiso
doaj   +1 more source

Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids [PDF]

, 2010
In this paper, we consider anisotropic diffusion with decay, and the diffusivity coefficient to be a second-order symmetric and positive definite tensor.
Arnold, Barber, Boyd, Braess, Brezzi, Brezzi, Brezzi, Brezzi, Brezzi, Brezzi, Burman, Chadwick, Christie, Ciarlet, Ciarlet, Droniou, Eigestad, Fraenkel, Gilbarg, Herrera, Hughes, Hughes, Hyman, Höhn, Karnadakis, Karátson, Karátson, Keilegavlen, Korotov, Kuzmin, Kuznetsov, Ladyzhenskaya, Le Potier, Lipnikov, Lipnikov, Lipnikov, Liska, Luenberger, Masud, McOwen, Mlacnik, Morton, Nakshatrala, Nakshatrala, Nedelec, Nedelec, Nocedal, Nordbotten, Patankar, Protter, Pucci, Quarteroni, Raviart, Saad, Shashkov, Shewchuk, Strikwerda, Tikhonov, Trudinger, Vanselow, Varga, Varga, Vejchodsky, Yanik, Yanik, Yuan   +65 more
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Generation of anisotropic-smoothness regularization filters for EIT [PDF]

IEEE Transactions on Medical Imaging, 2002
In the inverse conductivity problem, as in any ill-posed inverse problem, regularization techniques are necessary in order to stabilize inversion. A common way to implement regularization in electrical impedance tomography is to use Tikhonov regularization.
Borsic, Andrea, Lionheart, William R B, McLeod, Christopher N   +2 more
openaire   +2 more sources

Boundary Stabilization of Quasilinear Maxwell Equations [PDF]

, 2018
We investigate an initial-boundary value problem for a quasilinear nonhomogeneous, anisotropic Maxwell system subject to an absorbing boundary condition of Silver & M\"uller type in a smooth, bounded, strictly star-shaped domain of $\mathbb{R}^{3 ...
Pokojovy, Michael, Schnaubelt, Roland
core   +3 more sources