نتایج جستجو برای: s norm
تعداد نتایج: 751275 فیلتر نتایج به سال:
this formula defines a Schwartz function, and hence the solution u = uf ∈ S also, and the mapping f 7→ uf is continuous in the sense that if fn is a sequence of Schwartz functions such that ‖fn − f‖α,β → 0 for every Schwartz semi-norm ‖ · ‖α,β , then also ‖un − u‖α,β → 0 for every Schwartz semi-norm, where un = ufn , u = uf . In fact the formula above extends to define a distributional solution...
The Cauchy problem for the modified KdV-equation ut + uxxx = (u 3)x, u(0) = u0 is shown to be locally wellposed for data u0 in the space Ĥr s (R) defined by the norm ‖u0‖ Ĥr s := ‖〈ξ〉sû0‖Lr′ ξ , provided 4 3 < r ≤ 2, s ≥ 1 2 − 1 2r . For r = 2 this coincides with the best possible result on the H-scale due to Kenig, Ponce and Vega. The proof uses an appropriate variant of the Fourier restrictio...
We prove the norm identity kId + T k = 1 + kTk, which is known as the Daugavet equation, for operators T on C (S) not xing a copy of C (S), where S is a compact metric space without isolated points.
The Fourier restriction norm method is used to show local wellposedness for the Cauchy-Problem ut + uxxx + (u 4)x = 0, u(0) = u0 ∈ H s x(R), s > − 1 6 for the generalized Korteweg-deVries equation of order three, for short gKdV3. For real valued data u0 ∈ L 2 x(R) global wellposedness follows by the conservation of the L-norm. The main new tool is a bilinear estimate for solutions of the Airy-e...
We consider the following oblivious sketching problem: given ∈ (0, 1/3) and n ≥ d/ 2, design a distribution D over Rk×nd and a function f : R × R → R, so that for any n× d matrix A, Pr S∼D [(1− )‖A‖op ≤ f(S(A), S) ≤ (1 + )‖A‖op] ≥ 2/3, where ‖A‖op = supx:‖x‖2=1 ‖Ax‖2 is the operator norm of A and S(A) denotes S ·A, interpreting A as a vector in R. We show a tight lower bound of k = Ω(d2/ 2) for...
The first observation of the B_{s}^{0}→D[over ¯]^{0}K_{S}^{0} decay mode and evidence for the B_{s}^{0}→D[over ¯]^{*0}K_{S}^{0} decay mode are reported. The data sample corresponds to an integrated luminosity of 3.0 fb^{-1} collected in pp collisions by LHCb at center-of-mass energies of 7 and 8 TeV. The branching fractions are measured to be B(B_{s}^{0}→D[over ¯]^{0}K[over ¯]^{0})=[4.3±0.5(st...
In this paper, we propose a Lasso based framework to generate the sparse total variability supervectors (s-vectors). Rather than the factor analysis framework, which uses a low dimensional Eigenvoice subspace to represent the mean supervector, the proposed Lasso approach utilizes the l norm regularized least square estimation to project the mean supervector on a pre-defined dictionary. The numb...
نمودار تعداد نتایج جستجو در هر سال
با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید