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81.
Given an open bounded connected subset Ω of ℝn, we consider the overdetermined boundary value problem obtained by adding both zero Dirichlet and constant Neumann boundary
data to the elliptic equation −div(A(|∇u|)∇u)=1 in Ω. We prove that, if this problem admits a solution in a suitable weak sense, then Ω is a ball. This is obtained under
fairly general assumptions on Ω and A. In particular, A may be degenerate and no growth condition is required. Our method of proof is quite simple. It relies on a maximum principle
for a suitable P-function, combined with some geometric arguments involving the mean curvature of ∂Ω. 相似文献
82.
We discuss the stability of Yang-Mills fields in the framework of a sourceless scheme introduced by 't Hooft. We find that abelian magnetic field configurations in Yang-Mills theories are always unstable. A classification for the unstable modes is given. 相似文献
83.
C. de Lisio C. Altucci R. Bruzzese F. De Filippo S. Solimeno M. Bellini P. Foggi 《Applied physics. B, Lasers and optics》1997,64(3):323-330
We report the realization of a vacuum-ultraviolet radiation source based on high-order harmonic generation in noble-gas samples,
operating at high repetition rate. In particular, we observed up to the 13th harmonic (λ=61 nm) of the fundamental frequency
of a short pulse, high repetition rate titanium–sapphire laser after its interaction with a Xe gas jet. The effects of the
propagation of the fundamental and harmonic beams through an ionized medium are studied by analysing the spectral profile
of the 9th and 7th harmonics. Finally, we report a study of the dependence of the harmonic conversion efficiency on relative
position of the focus and the gas target.
Received: 29 March 1996/Revised version: 25 July 1996 相似文献
84.
85.
86.
Tiziana Sacco Enrica Boda Eriola Hoxha Riccardo Pizzo Claudia Cagnoli Alfredo Brusco Filippo Tempia 《BMC neuroscience》2010,11(1):55
Background
The m-AAA (ATPases Associated with a variety of cellular Activities) is an evolutionary conserved metalloprotease complex located in the internal mitochondrial membrane. In the mouse, it is a hetero-oligomer variably formed by the Spg7, Afg3l1, and Afg3l2 encoded proteins, or a homo-oligomer formed by either Afg3l1 or Afg3l2. In humans, AFG3L2 and SPG7 genes are conserved, whereas AFG3L1 became a pseudogene. Both AFG3L2 and SPG7 are involved in a neurodegenerative disease, namely the autosomal dominant spinocerebellar ataxia SCA28 and a recessive form of spastic paraplegia, respectively. 相似文献87.
88.
Daniela di Serafino Susana Gomez Leopoldo Milano Filippo Riccio Gerardo Toraldo 《Journal of Global Optimization》2010,48(1):41-55
The detection of gravitational waves is a long-awaited event in modern physics and, to achieve this challenging goal, detectors
with high sensitivity are being used or are under development. In order to extract gravitational signals emitted by coalescing
binary systems of compact objects (neutron stars and/or black holes), from noisy data obtained by interferometric detectors,
the matched filter technique is generally used. Its computational kernel is a box-constrained global optimization problem
with many local solutions and a highly nonlinear and expensive objective function, whose derivatives are not available. To
tackle this problem, we designed a real-coded genetic algorithm that exploits characteristic features of the problem itself;
special attention was devoted to the choice of the initial population and of the recombination operator. Computational experiments
showed that our algorithm is able to compute a reasonably accurate solution of the optimization problem, requiring a much
smaller number of function evaluations than the grid search, which is generally used to solve this problem. Furthermore, the
genetic algorithm largely outperforms other global optimization algorithms on significant instances of the problem. 相似文献
89.
Filippo Cesi 《Journal of Algebraic Combinatorics》2010,32(2):155-185
Given a finite simple graph G with n vertices, we can construct the Cayley graph on the symmetric group S
n
generated by the edges of G, interpreted as transpositions. We show that, if G is complete multipartite, the eigenvalues of the Laplacian of Cay (G) have a simple expression in terms of the irreducible characters of transpositions and of the Littlewood–Richardson coefficients.
As a consequence, we can prove that the Laplacians of G and of Cay (G) have the same first nontrivial eigenvalue. This is equivalent to saying that Aldous’s conjecture, asserting that the random
walk and the interchange process have the same spectral gap, holds for complete multipartite graphs. 相似文献
90.