Mathematics Removable boundary singularities for the equation Deltau = ualpha in non-smooth domains UNIVERSITY OF COLORADO AT BOULDER Sergei E. Kuznetsov SchumacherTimothyThe characterization of removable boundary singularities for the equation Δ= has been studied by many authors. In particular, results ...
Differentiability Properties of Solutions of the Equation $ - \\\varepsilon ^2 \\\Delta u + ru = f(x,y)$ in a Square A singularly-perturbed, elliptic boundary value problem is considered in a square. A theory of corner singularities for a $90^ \\circ $ angle that takes ac... H ...
No Abstract available for this article. H Primakoff,L Pilachowski,WA Simmons,... 被引量: 0发表: 1976年 Existence and decay of solutions of a viscoelastic equation with a nonlinear source In a bounded domain, we consider u(tt) - Delta u + integral(t g)(0)(t - tau)Delta u d tau ...
2 GeV per nucleon, with a focus on those carried out at the GSI laboratory in Darmstadt (Germany) using the SIS18 accelerator beams. Constraints on the isospin-symmetric matter EoS, based on studies of kaon and pion production and collective flows, are reviewed. Regarding the symmetry energy,...
so we have exactly one solution for \(\alpha \): $$\begin{aligned} \alpha =-\frac{v^{\mu \nu }v_{\mu \nu }+t^{\mu \nu }t_{\mu \nu }+2 v^{\mu \nu }t_{\mu \nu }}{2 u^{\mu \nu }t_{\mu \nu }}, \end{aligned}$$ (45) and for \(k^{\mu \nu }=...
Taking into account equations (2.52) and (2.59) and the main property of the delta-function (2.51), we find: (2.61)u(r′)=−∭VG(r−r′)q(r)dv−∬CRu(r)∂G(r−r′)∂n−G(r−r′)∂u(r)∂nds. In the derivation of the last formula we take into account ...
Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds In this paper, we derive a local gradient estimate for the positive solution to the following parabolic equation $$u_t=\\Delta u+au\\, {m log}\\, u+bu\\qua... L Chen,W Chen - 《Annals ...
Blow-up profile for radial solutions of the nonlinear heat equation Assuming that the maximal classical solution u of u_t-\\\Delta u=u^p on B(0,R) has, at time T_{\\\max}, a blow-up set \\\mathbf{B}(u) that is not the si... A Ramiandrisoa - 《Asymptotic Analysis》 被...
denoted by T q . The presentation requires some notation. Notation 1.1. a: For every x ∈ R N and every β > 0 put ρ(x) := dist (x, ∂Ω) and Ω β = {x ∈ Ω : ρ(x) < β}, Ω ′β = Ω \ ¯ Ω β , Σβ = ∂Ω ′β . b: There exists ...
Abstract We will consider radial solutions of the following problem: where, ϕ is a continuous radial function and ɛ is a small real parameter. This equation and its generalizations have been studied in a large numbers of papers (see for example [BE], [DN], [LN], [NI1&2])....