Results 101 to 110 of about 3,320,198 (344)
Moment Problems on Bounded and Unbounded Domains [PDF]
International Journal of Analysis, 2013 Using approximation results, we characterize the existence of the solution for a two-dimensional moment problem in the first quadrant, in terms of quadratic forms, similar to the one-dimensional case. For the bounded domain case, one considers a space of complex analytic functions in a disk and a space of continuous functions on a compact interval. The
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Some nonlinear elliptic problems in unbounded domains
, 2006 In this paper the results of some investigations concerning nonlinear elliptic problems in unbounded domains are summarized and the main difficulties and ideas related to these researches are described.
CERAMI, Giovanna
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +5 more
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Advanced Healthcare Materials, EarlyView.Coagulative granular hydrogels are composed of packed thrombin‐functionalized microgels that catalyze the conversion of fibrinogen into a secondary fibrin network, filling the interstitial voids. This bio‐inspired approach stabilizes the biomaterial to match the robustness of bulk hydrogels without compromising injectability, mimicking the initial ...
Zhipeng Deng +16 more
wiley +1 more source
Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method
, 2008 We consider a class of boundary integral equations that arise in the study of strongly elliptic BVPs in unbounded domains of the form $D = \{(x, z)\in \mathbb{R}^{n+1} : x\in \mathbb{R}^n, z > f(x)\}$ where $f : \mathbb{R}^n \to\mathbb{R}$ is a ...
Chandler-Wilde, Simon Neil +3 more
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Advanced Healthcare Materials, EarlyView.We describe a microfluidic tumor‐stroma co‐culture model, engineered to resist collagen‐hydrogel contraction driven by fibroblast activity. Surface silanization with APTES covalently anchors the matrix to the chip, while Genipin crosslinking progressively increases stiffness and elasticity without harming cells. This supports >10 days of co‐culture and
Doriane Le Manach +4 more
wiley +1 more source
Embeddings into Orlicz Spaces for Functions from Unbounded Irregular Domains [PDF]
, 2019 We study Sobolev functions defined in unbounded irregular domains in the Euclidean n-space. We show that there exist embeddings into suitable Orlicz spaces from the space Lp1" role="presentation">L1p, 1≤p1≤pL11-functions.
Hurri-Syrjänen Ritva +1 more
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Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains
International Journal of Mathematics and Mathematical Sciences, 2008 We study in this paper a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝ𝑛, 𝑛≥3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.
Serena Boccia +2 more
doaj +1 more source
Advanced Healthcare Materials, EarlyView.Packed hydrogel microfiber (PHM) materials consist of flexible and high aspect ratio hydrogel components that, as a bulk material, are simultaneously mechanically robust and dynamic. Cells cultured in or on PHM scaffolds can be influenced by topographical cues or interact with a dynamic environment that permits cell spreading and multicellular ...
M. Gregory Grewal +7 more
wiley +1 more source
Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains
Abstract and Applied Analysis, 2014 We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
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