where Ω is a bounded domain inRNwith a smooth boundary∂Ω,ψis a nonnegative continuous function on[0,∞), andfis a locally Lipschitz continuous function satisfying thatf(0)=0andf(s)>0fors>0, andB[u](z,t)=0stands for the boundary condition ...
The map from the parameter to the moments is studied in the light of a global inverse function theorem of Byrnes and Lindquist. An efficient algorithm is proposed to find the parameter value such that the corresponding spectrum satisfies the moment constraint....
Brown K J, Nonlinear boundary value problems and a global inverse function theorem [J]. Annali Mat Pura Appli , 1975, 106 :205–214K. J. Brown. Nonlinear boundary value problems and a global inverse function theorem[J] 1975,Annali di Matematica Pura ed Applicata, Series 4(1):205～217...
global inverse function theoremSturm-LiouvilleThis paper is devoted to the study of nonlinear difference equations subject to global nonlinear boundary conditions. We provide sufficient conditions for the existence of solutions based on properties of the nonlinearities and the eigenvalues of an associated ...
The inverse-function theorem is used in a class of functions which are Hlder continuous with respect to time t. The asymptotic behaviour of the solution is given too. As a first application we prove the existence of global (respectively local) solutions to the Navier-Stokes equations in L -...
Theorem 2 Consider the linear system Ax=b where A is SPD. Assume that gn is not an eigenvector of A. If the sequence of solution vectors {xn} is generated by the 2-dimensional SD method, then αn(1)>0 and αn(2)<0. Proof The system (9) is reduced to(ωn(1)ωn(2)ωn(...
theorem Gowers uniformity norm Gowers uniformity norms graph theory Gromov's theorem GUE Hilbert's fifth problem incompressible Euler equations inverse conjecture Joni Teravainen Kaisa Matomaki Kakeya conjecture Lie algebras Lie groups Liouville function Littlewood-Offord problem Maksym ...
Theoretically, the fluctuation–dissipation theorem (FDT) from statistical mechanics14,15,16,17suggests that for specific classes of systems, the response to external perturbations can be expressed in terms of the characteristics of natural fluctuations around the equilibrium state. In other words, the...
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1) Global inverse function theorems 整体反函数定理2) global inverse function theorem 整体反函数理论 1. The existence and uniqueness about semilinear second-order differential equation are established by using global inverse function theorems. 本文利用整体反函数理论,研究了半线性二阶微分方程周期边值...