Results 51 to 60 of about 27,220 (202)
Fractal and FractionalThe primary objective of this work is to develop a comprehensive theory of weighted fractional Sobolev spaces within the framework of timescales. To this end, we first introduce a novel class of weighted fractional operators and rigorously define ...
Qibing Tan, Jianwen Zhou, Yanning Wang
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On the trace space of a Sobolev space with a radial weight
Journal of Function Spaces and Applications, 2008 Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Helmut Abels +2 more
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Petrography and mineral chemistry of Northeast Africa 053—A remnant of Martian crystal mush
Meteoritics &Planetary Science, EarlyView.Abstract In Earth's igneous systems, crystal mushes, crystal‐rich frameworks permeated by silicate melt, represent a common and fundamental stage in the evolution of magma bodies. However, whether crystal mushes occur within Martian igneous systems and play a comparable role is unknown. Here, we present a comprehensive petrography and mineral chemistry
Xhonatan Shehaj +2 more
wiley +1 more source
Approximation theory for weighted Sobolev spaces on curves [PDF]
, 2001 17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana, Domingo +3 more
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Well-posedness for a class of nonlinear degenerate parabolic equations
, 2015 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
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G-Expectation Weighted Sobolev Spaces, Backward SDE and Path Dependent PDE [PDF]
, 2014 We introduce a new notion of G-expectation-weighted Sobolev spaces, or in short, G-Sobolev spaces, and prove that a backward SDEs driven by G-Brownian motion are in fact path dependent PDEs in the corresponding Sobolev spaces under G-norms.
Peng, Shige, Song, Yongsheng
core
Universal Journal of Mathematics and Applications, 2019 For the last quarter century a considerable number of research has been carried out on the study of Herz spaces, variable exponent Lebesgue spaces and Sobolev spaces.
Lütfi Akın
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Weighted Sobolev inequality in Musielak–Orlicz space
Journal of Mathematical Analysis and Applications, 2012 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]
Transactions of the American Mathematical Society, 2009 23 ...
Gol'dshtein, V., Ukhlov, A.
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Besov regularity of solutions to the p-Poisson equation [PDF]
, 2014 In this paper, we study the regularity of solutions to the $p$-Poisson equation for all ...
Dahlke, Stephan +4 more
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