Results 291 to 300 of about 1,137,013 (326)

A Compact Imbedding Theorem for Functions without Compact Support

Canadian Mathematical Bulletin, 1971
The extension of the Rellich-Kondrachov theorem on the complete continuity of Sobolev space imbeddings of the sort1to unbounded domains G has recently been under study [1–5] and this study has yielded [4] a condition on G which is necessary and sufficient for the compactness of (1).
John Fournier, R. A. Adams
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Distributions with Compact Support

2010
If u is locally integrable on an open set X in R n and has compact support, the integral \(u(\phi ) = \int_X {u(x)\phi (x)\ dx}\) is absolutely convergent for every \(\phi \in C^\infty (X),\) as follows from a slight adaptation of the proof of Theorem 3.5.
Johannes J. Duistermaat, J. A. C. Kolk
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Chemotactic traveling waves with compact support

Journal of Mathematical Analysis and Applications, 2020
Abstract A logarithmic model type chemotaxis equation is introduced with porous medium diffusion and a population dependent consumption rate. The classical assumption that individual bacterium can sense the chemical gradient is not taken. Instead, the chemotactic term appears by assuming that the migration distance is inversely proportional to the ...
Yong-Jung Kim, Sun-Ho Choi
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Compaction - A Soliton with Compact Support

1994
Compacton is a soliton with a compact support. Nonlinear dispersion plays a crucial role in its formation The simplest model to see nonlinear dispersion, in action is given by a KdV-like equation, the K(m, n); u t + (u m ) x + (u n ) xxx = 0, m, n > 1. The compactons are solitary wave solutions of these equations.
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*AIDA declarations supporting program compactness

2013 International Joint Conference on Awareness Science and Technology & Ubi-Media Computing (iCAST 2013 & UMEDIA 2013), 2013
*AIDA (Star-AIDA) is a programming (modeling) language for programming in pictures. The pictures play a role of algorithmic super-characters and their compositions can be considered as compound pictures and as "super-texts." A very-high level of the super-characters allows not only to essentially decrease the algorithm representation sizes, but also to
Nikolay Mirenkov, Yutaka Watanobe
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Optimized Compact-Support Interpolation Kernels

IEEE Transactions on Signal Processing, 2012
In this paper, we investigate the problem of designing compact-support interpolation kernels for a given class of signals. By using calculus of variations, we simplify the optimization problem from an nonlinear infinite dimensional problem to a linear finite dimensional case, and then find the optimum compact-support function that best approximates a ...
Farrokh Marvasti, Ali Ayremlou, Ramtin Madani, Arash Amini   +3 more
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Cohomology with compact support

1996
In this chapter we will define cohomology with compact support for rigid analytic varieties and adic spaces. Let me give a summary of this definition.
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Cohomology with Compact Support

1986
Let x denote a locally compact space, i.e. a Hausdorff topological space in which every point has a compact neighbourhood. Let us prove two simple facts about locally compact spaces.
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Orthogonal wavelets with compact support on locally compact Abelian groups

Izvestiya: Mathematics, 2005
We extend and improve the results of W. Lang (1998) on the wavelet analysis on the Cantor dyadic group . Our construction is realized on a locally compact Abelian group  which is defined for an integer and coincides with  when . For any integers we determine a function  in  which 1) is the sum of a lacunary series by generalized Walsh functions, 2 ...
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On cardinal wavelets with compact support and their duals

Acta Mathematica Sinica, 1997
Some people try to construct an orthonormal wavelet such that the corresponding scaling function φ(t) has the cardinal property,i.e. ϕ(n)= σn0, since such wavelets have many good applications. Unfortunately it is impossible to do so, except for a trivial case[1].
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