Results 61 to 70 of about 27,468 (197)
Weighted Sobolev inequality in Musielak–Orlicz space
Let \(L_{p,q,\beta}(\mathbb{R}^n)\) be the Lebesgue space with continuous variable exponents \(p\), \(q\) satisfying the log-Hölder and log-log-Hölder condition, respectively, defined by means of the quasi-norm \[ \| f\|_{L_{p,q,\beta}(\mathbb{R}^n)}= \text{inf}\{\lambda> 0: \int(1+ |y|)^{\beta(y)}|f(y)/\lambda|^{p(y)}\cdot[\log(e+ |y|)^{\beta(y)}\cdot|
Mizuta, Yoshihiro, Shimomura, Tetsu
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Weighted Sobolev spaces and embedding theorems [PDF]
23 ...
Gol'dshtein, V., Ukhlov, A.
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Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy
Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley +1 more source
Well-posedness for a class of nonlinear degenerate parabolic equations
In this paper we obtain well-posedness for a class of semilinear weakly degenerate reaction-diffusion systems with Robin boundary conditions. This result is obtained through a Gagliardo-Nirenberg interpolation inequality and some embedding results for ...
A. Bensoussan +10 more
core +1 more source
Interpolation inequalities in weighted Sobolev spaces [PDF]
In this paper we prove some interpolation inequalities between functions and their derivatives in the class of weighted Sobolev spaces defined on unbounded open subset Ω ⊂ R n .
BOCCIA, SERENA, CASO, Loredana
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Abstract How did World War II affect the nature and resilience of Soviet institutions and authority, especially in the extreme case of the Blockade of Leningrad? During the Blockade, Leningraders acted with great agency by engaging in the shadow trade of food and shadow talk for information and community in order to survive.
Jeffrey K. Hass, Nikita A. Lomagin
wiley +1 more source
Persistence of solutions to nonlinear evolution equations in weighted Sobolev spaces
In this article, we prove that the initial value problem associated with the Korteweg-de Vries equation is well-posed in weighted Sobolev spaces $mathcal{X}^{s,heta}$, for $s geq 2heta ge 2$ and the initial value problem associated with the nonlinear
Xavier Carvajal Paredes +1 more
doaj
The Dirichlet Problem for the Nonstationary Stokes System in a Domain with Angular or Conical Points
The paper deals with the Dirichlet problem for the nonstationary Stokes system in a bounded two- or three-dimensional domain with angular or conical points on the boundary.
Jürgen Rossmann
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We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El +2 more
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Wavelet packets in weighted Sobolev space
We perform some splitting tricks over wavelets to construct basic wavelet packets in weighted Sobolev space. MRA based wavelet packet functions and their orthogonality at different levels in weighted Sobolev space are presented. Some examples of wavelet packets in weighted Sobolev space are given.
KUMAR, R., CHAUHAN, M.
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