Results 11 to 20 of about 358 (72)
Partial Differential Equations in Applied Mathematics, 2023 The modified Zakharov-Kuznetsov (mZK) model convey a significant role to analyze the inner mechanism of physical compound phenomenon in the field of two-dimensional discrete electrical lattice, the electrical waves in cold plasmas, plasma physics ...
Farah Umme Afrin
doaj
Isoperimetric inequalities for the logarithmic potential operator [PDF]
, 2015 In this paper we prove that the disc is a maximiser of the Schatten $p$-norm of the logarithmic potential operator among all domains of a given measure in $\mathbb R^{2}$, for all even integers $2\leq ...
Ruzhansky, Michael, Suragan, Durvudkhan
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Spectral analysis of a Stokes-type operator arising from flow around a rotating body
, 2011 We consider the spectrum of the Stokes operator with and without rotation e ect for the whole space and exterior domains in Lq{spaces. Based on similar results for the Dirichlet{Laplacian on Rn, n 2, we prove in the whole space case that the spectrum as ...
R. Farwig, Š. Nečasová, J. Neustupa
semanticscholar +1 more source
, 1991 We study the existence of positive solutions to the equation Au + f(u) +Ag(IIxI) = 0 in the unit ball in RN with Dirichlet boundary conditions, where f is superlinear with f(0) 0 O and A is a real parameter. We prove that if g is monotonically increasing,
Gadam Sudhasree
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Carleson Measures and Logvinenko-Sereda sets on compact manifolds [PDF]
, 2010 Given a compact Riemannian manifold $M$ of dimension $m\geq 2$, we study the space of functions of $L^2(M)$ generated by eigenfunctions of eigenvalues less than $L\geq 1$ associated to the Laplace-Beltrami operator on $M$.
Ortega-Cerdà, Joaquim +1 more
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Spectral properties of a certain class of complex potentials
, 1983 In this paper we discuss spectral properties of the Schroedinger operator -A + q on compact homogeneous spaces for certain complex valued potentials q. We show, for instance, that for these potentials the spectrum of -A + q is identical with the spectrum
V. Guillemin, A. Uribe
semanticscholar +1 more source
On uniqueness of Riemann’s examples
, 1998 We prove that a properly embedded minimal annulus with one flat end, bounded in a slab by lines or circles, is a part of a Riemann’s example. In 1956 Shiffman [16] proved that a minimal annulus bounded by a pair of circles in two parallel planes ...
Yi Fang, Fu-Tsun Wei
semanticscholar +1 more source
A Spectral Gap Estimate and Applications
, 2017 We consider the Schr\"odinger operator $$-\frac{d^2}{d x^2} + V \qquad \mbox{on an interval}~~[a,b]~\mbox{with Dirichlet boundary conditions},$$ where $V$ is bounded from below and prove a lower bound on the first eigenvalue $\lambda_1$ in terms of ...
Georgiev, Bogdan +2 more
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Analysis of the divide-and-conquer method for electronic structure calculations [PDF]
, 2015 We study the accuracy of the divide-and-conquer method for electronic structure calculations. The analysis is conducted for a prototypical subdomain problem in the method.
Chen, Jingrun, Lu, Jianfeng
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The asymptotic limits of zero modes of massless Dirac operators
, 2007 Asymptotic behaviors of zero modes of the massless Dirac operator $H=\alpha\cdot D + Q(x)$ are discussed, where $\alpha= (\alpha_1, \alpha_2, \alpha_3)$ is the triple of $4 \times 4$ Dirac matrices, $ D=\frac{1}{i} \nabla_x$, and $Q(x)=\big(q_{jk} (x) \
A.A. Balinsky +13 more
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