Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints [0.03%]
具点状控制约束的线性Fitzhugh-Nagumo方程的时间最优控制问题
Karl Kunisch,Lijuan Wang
Karl Kunisch
Time optimal control governed by the internally controlled linear Fitzhugh-Nagumo equation with pointwise control constraint is considered. Making use of Ekeland's variational principle, we obtain Pontryagin's maximum principle for a time o...
Estimates for a class of oscillatory integrals and decay rates for wave-type equations [0.03%]
一类振荡积分的估计及波方程解的衰减性
Anton Arnold,Jinmyong Kim,Xiaohua Yao
Anton Arnold
This paper investigates higher order wave-type equations of the form [Formula: see text], where the symbol [Formula: see text] is a real, non-degenerate elliptic polynomial of the order [Formula: see text] on [Formula: see text]. Using meth...
D T Stoeva,P Balazs
D T Stoeva
Multipliers are operators that combine (frame-like) analysis, a multiplication with a fixed sequence, called the symbol, and synthesis. They are very interesting mathematical objects that also have a lot of applications for example in acous...
Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients [0.03%]
常系数二阶线性常微分方程组的lie对称群
Vyacheslav M Boyko,Roman O Popovych,Nataliya M Shapoval
Vyacheslav M Boyko
Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients are exhaustively described over both the complex and real fields. The exact lower and upper bounds for the dimensions of the maximal...
Valery Imaykin,Alexander Komech,Boris Vainberg
Valery Imaykin
We establish a long time soliton asymptotics for a nonlinear system of wave equation coupled to a charged particle. The coupled system has a six-dimensional manifold of soliton solutions. We show that in the large time approximation, any so...
Symmetric hyperbolic systems in algebras of generalized functions and distributional limits [0.03%]
广义函数代数和分布极限中的对称双曲系统
Günther Hörmann,Christian Spreitzer
Günther Hörmann
We study existence, uniqueness, and distributional aspects of generalized solutions to the Cauchy problem for first-order symmetric (or Hermitian) hyperbolic systems of partial differential equations with Colombeau generalized functions as ...
A Nonlinear Elasticity Model of Macromolecular Conformational Change Induced by Electrostatic Forces [0.03%]
静电作用下基于非线性弹性模型的 macromolecule 构象变化
Y C Zhou,Michael Holst,J Andrew McCammon
Y C Zhou
In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic poten...
W L Chan,B Z Guo
W L Chan
The authors studied optimal birth control policies for an age-structured population of McKendrick type which is a distributed parameter system involving 1st order partial differential equations with nonlocal bilinear boundary control. The f...