共查询到20条相似文献,搜索用时 31 毫秒
1.
Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws 总被引:1,自引:0,他引:1
We consider a system of heat equations ut=Δu and vt=Δv in Ω×(0,T) completely coupled by nonlinear boundary conditions We prove that the solutions always blow up in finite time for non-zero and non-negative initial values. Also, the blow-up only occurs on ∂Ω with for p,q>0, 0≤α<1 and 0≤β<p. 相似文献
2.
In this paper, we afford some sufficient conditions to guarantee the existence of multiple positive solutions for the nonlinear m-point boundary-value problem for the one-dimensional p-Laplacian 相似文献
(φp(u′))′+f(t,u)=0, t(0,1),
3.
In this article, the dependent steps of a negative drift random walk are modelled as a two-sided linear process Xn =-μ ∞∑j=-∞ψn-jεj, where {ε, εn; -∞< n < ∞}is a sequence of independent, identically distributed random variables with zero mean, μ>0 is a constant and the coefficients {ψi;-∞< i <∞} satisfy 0 <∞∑j=-∞|jψj| <∞. Under the conditions that the distribution function of |ε| has dominated variation and ε satisfies certain tail balance conditions, the asymptotic behavior of P{supn≥0(-nμ ∞∑j=-∞εjβnj) > x}is discussed. Then the result is applied to ultimate ruin probability. 相似文献
4.
Vladimir Koltchinskii 《Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques》2003,39(6):1143-978
Let
be a probability space and let Pn be the empirical measure based on i.i.d. sample (X1,…,Xn) from P. Let
be a class of measurable real valued functions on
For
define Ff(t):=P{ft} and Fn,f(t):=Pn{ft}. Given γ(0,1], define n,γ(δ):=1/(n1−γ/2δγ). We show that if the L2(Pn)-entropy of the class
grows as −α for some α(0,2), then, for all
and all δ(0,Δn), Δn=O(n1/2), and where
and c(σ)↓1 as σ↓0 (the above inequalities hold for any fixed σ(0,1] with a high probability). Also, define Then for all
uniformly in
and with probability 1 (for
the above ratio is bounded away from 0 and from ∞). The results are motivated by recent developments in machine learning, where they are used to bound the generalization error of learning algorithms. We also prove some more general results of similar nature, show the sharpness of the conditions and discuss the applications in learning theory. 相似文献
5.
Thomas Kühn Hans-Gerd Leopold Winfried Sickel Leszek Skrzypczak 《Journal of Approximation Theory》2003,121(2):244-268
Let
be the radial subspace of the Besov space
. We prove the independence of the asymptotic behavior of the entropy numbersfrom the difference s0−s1 as long as the embedding itself
is compact. In fact, we shall show thatThis is in a certain contrast to earlier results on entropy numbers in the context of Besov spaces Bp,qs(Ω) on bounded domains Ω. 相似文献
6.
Define the directed genus, Γ(G), of an Eulerian digraph G to be the minimum value of p for which G has a 2-cell embedding in the orientable surface of genus p so that every face of the embedding is bounded by a directed circuit in G. The directed genus of the de Bruijn graph Dn is shown to be 相似文献
7.
Fordyce A. Davidson Bryan P. Rynne 《Journal of Mathematical Analysis and Applications》2004,300(2):491-504
Let TR be a time-scale, with a=infT, b=supT. We consider the nonlinear boundary value problem (2) (4)
u(a)=u(b)=0,