Results 11 to 20 of about 1,726 (89)
Many-body wave scattering by small bodies [PDF]
, 2006 Scattering problem by several bodies, small in comparison with the wavelength, is reduced to linear algebraic systems of equations, in contrast to the usual reduction to some integral ...
A. G. Ramm, Hulst van de H., Rayleigh J.
core +4 more sources
Existence of maximizers for Sobolev-Strichartz inequalities [PDF]
arXiv, 2011 We prove the existence of maximizers of Sobolev-Strichartz estimates for a general class of propagators, involving relevant examples, as for instance the wave, Dirac and the hyperbolic Schrodinger flows.Comment: 10 ...
Aubin +21 more
core +3 more sources
On Aharonov–Bohm Operators with Two Colliding Poles [PDF]
Advanced Nonlinear Studies, 2017 We consider Aharonov–Bohm operators with two poles and prove sharp asymptotics for simple eigenvalues as the poles collapse at an interior point out of nodal lines of the limit eigenfunction.
Abatangelo Laura +2 more
doaj +2 more sources
Existence and concentration of positive solutions for a critical p&q equation
Advances in Nonlinear Analysis, 2021 We show existence and concentration results for a class of p&q critical problems given ...
Costa Gustavo S., Figueiredo Giovany M.
doaj +1 more source
Analytic hypoellipticity of Keldysh operators
Proceedings of the London Mathematical Society, Volume 123, Issue 5, Page 498-516, November 2021., 2021 Abstract We consider Keldysh‐type operators, P=x1Dx12+a(x)Dx1+Q(x,Dx′), x=(x1,x′) with analytic coefficients, and with Q(x,Dx′) second order, principally real and elliptic in Dx′ for x near zero. We show that if Pu=f, u∈C∞, and f is analytic in a neighbourhood of 0, then u is analytic in a neighbourhood of 0.
Jeffrey Galkowski, Maciej Zworski
wiley +1 more source
Advances in Nonlinear Analysis, 2021 We are concerned with the following Schrödinger system with coupled quadratic ...
Yang Jing, Zhou Ting
doaj +1 more source
Large gap asymptotics for the generating function of the sine point process
Proceedings of the London Mathematical Society, Volume 123, Issue 2, Page 103-152, August 2021., 2021 Abstract We consider the generating function of the sine point process on m consecutive intervals. It can be written as a Fredholm determinant with discontinuities, or equivalently as the convergent series ∑k1,…,km⩾0P∩j=1m#{pointsinthejthinterval}=kj∏j=1msjkj,where s1,…,sm∈[0,+∞). In particular, we can deduce from it joint probabilities of the counting
Christophe Charlier
wiley +1 more source
Positive solutions for a nonhomogeneous Schrödinger-Poisson system
Advances in Nonlinear Analysis, 2022 In this article, we consider the following Schrödinger-Poisson system: −Δu+u+k(x)ϕ(x)u=f(x)∣u∣p−1u+g(x),x∈R3,−Δϕ=k(x)u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+u+k\left(x)\phi \left(x)u=f\left(x)| u{| }^{p-1}u+g\left(x),& x\in {{\mathbb{R}}}^{3 ...
Zhang Jing, Niu Rui, Han Xiumei
doaj +1 more source
Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021 Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo +2 more
wiley +1 more source
Open Mathematics, 2022 This article is devoted to study the existence of global solutions and finite time blow-up of local solution for nonlinear Klein-Gordon equation with variable coefficient nonlinear source term. By applying the potential well and energy estimation method,
Sun Cong, Yan Dong Ze, Zhang Yong Ling
doaj +1 more source