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31.
Here we report a facile strategy of fabricating multifunctional polyacrylamide(PAM) hydrogels based on hybrid graphene oxide (GO) sheets and carbon nanotubes (CNTs). Compared to original PAM hydrogels cross-linked chemically with N,N-methylenebisacrylamide (BIS), the hybrid hydrogels exhibit high mechanical strength (strength > 90?kPa and broken strain > 2000%), well adhesion, environmental stability, dye-loading capacity, and excellent self-healing property. This study provides a new insight for the preparation of functionalized hydrogels with carbon nano-materials, and the resultant material shows very promising performance for a range of applications. 相似文献
32.
Let X be a strongly pseudoconvex compact 3-dimensional CR manifolds which bounds a complex variety with isolated singularities in some CN. The weighted dual graph of the exceptional set of the minimal good resolution of V is a CR invariant of X; in case X has a tranversal holomorphic S1 action, we show that it is a complete topological invariant of except for two special cases. When X is a rational CR manifolds, we give explicit algebraic algorithms to compute the graph invariant in terms of the ring structure of
k=0
mk/mk+1, where m is the maximal ideal of each singularity. An example is computed explicitly to demonstrate how the algorithms work. 相似文献
33.
Shi Jihuai 《中国科学A辑(英文版)》1998,41(1):22-32
A necessary and sufficient condition for the boundedness of the operator: $(T_{s,u,u} f)(\xi ) = h^{u + \tfrac{v}{a}} (\xi )\smallint _{\Omega _a } h^s (\xi ')K_{s,u,v} (\xi ,\xi ')f(\xi ')dv(\xi ') on L^p (\Omega _a ,dv_\lambda ),1< p< \infty $ , is obtained, where $\Omega _a = \left\{ {\xi = (z,w) \in \mathbb{C}^{n + m} :z \in \mathbb{C}^n ,w \in \mathbb{C}^m ,|z|^2 + |w|^{2/a}< 1} \right\},h(\xi ) = (1 - |z|^2 )^a - |w|^2 $ andK x,u,v (ξ,ξ′).This generalizes the works in literature from the unit ball or unit disc to the weakly pseudoconvex domain ω a . As an appli cation, it is proved thatf?L H p (ω a ,dv λ) implies $h\tfrac{{|a|}}{a} + |\beta |(\xi )D_2^a D_z^\beta f \in L^p (\Omega _a ,dv_\lambda ),1 \leqslant p< \infty $ , for any multi-indexa=(α1,?,α n and ß = (ß1, —ß). An interesting question is whether the converse holds. 相似文献
34.
We shall introduce 1-type Lipschitz multifunctions from ℝ into generalized 2-normed spaces, and give some results about their
1-type Lipschitz selections.
相似文献
35.
36.
Alexander Brudnyi 《Journal of Functional Analysis》2007,249(2):354-371
In this paper we extend some results of the paper [M. Gromov, G. Henkin, M. Shubin, Holomorphic L2-functions on coverings of pseudoconvex manifolds, Geom. Funct. Anal. 8 (1998) 552-585]. 相似文献
37.
Andrew Raich 《Mathematische Zeitschrift》2007,256(1):193-220
Let be a subharmonic, nonharmonic polynomial and a parameter. Define , a closed, densely defined operator on . If and , we solve the heat equations , u(0,z) = f(z) and , . We write the solutions via heat semigroups and show that the solutions can be written as integrals against distributional
kernels. We prove that the kernels are C
∞ off of the diagonal {(s, z, w) : s = 0 and z = w} and find pointwise bounds for the kernels and their derivatives.
相似文献
38.
Constantin Costara Thomas Ransford 《Proceedings of the American Mathematical Society》2007,135(9):2779-2784
Let be the algebra of complex matrices, and for denote by and the spectrum and spectral radius of respectively. Let be a domain in containing 0, and let be a holomorphic map. We prove: (1) if for , then for ; (2) if for , then again for . Both results are special cases of theorems expressing the irreducibility of the spectrum near .
39.
40.
孟志青 《应用数学和力学(英文版)》1998,19(1):59-66
I.IntroductionHah-BanachTheoremisanimportantconclusioninthefunctionialanalysis.Ithaspalyedausefulroleinunsmoothanalysisandotherfields,forexample,theexistanceofthegeneralizedsubdifferentialinI2,3,6]hasbeenproved.Inthispaper,weintroducetheconceptoftheK-convexandtheK-sublinearoftheset-valuedmap,whereKisapointedandclosedandconvexconeinlocallyconvextopologicalvectorspace,andweprovethegeneralizedHahn-BanachTheoreminsection11.Weapplyittothestudyoftheexistenceofsubdifferentialfortheset-valuedmapin… 相似文献