1 citations · 4 across the 8 of their papers we have counts for
10 papers
Exact controllability for wave equation on general quantum graphs with non-smooth controls
Sergei A. Avdonin, Julian K. Edward
In this paper we study the exact controllability problem for the wave equation on a finite metric graph with the Kirchhoff-Neumann matching conditions. Among all vertices and edges…
Exact Controllability for the Wave Equation on a Graph with Cycle and Delta-Prime Vertex Conditions
Sergei Avdonin, Julian Edward, Gunter Leugering
Exact controllability for the wave equation on a metric graph consisting of a cycle and two attached edges is proven. One boundary and one internal control are used. At the interna…
Shape, Velocity, and Exact Controllability for the Wave Equation on a Graph with Cycle
Sergei Avdonin, Julian Edward, Yuanyuan Zhao
Exact controllability is proven on a graph with cycle. The controls can be a mix of controls applied at the boundary and interior vertices. The method of proof first uses a dynamic…
Regularity of solutions of quasi-linear elliptic equations with coefficients
Julian Edward, Steve Hudson, Mark Leckband
Let be an bounded region in . The regularity of solutions of a family of quasilinear elliptic partial differential equations is studied, one example being $Δ_nu=Vu^{…
Riesz bases from orthonormal bases by replacement
Laura De Carli, Julian Edward
Given an orthonormal basis in a separable Hilbert space and a set of unit vectors , we consider the sets $ {\…
Exact controllability for string with attached masses
Sergei A. Avdonin, Julian K. Edward
We consider the problem of boundary control for a vibrating string with interior point masses. We assume the control is at the left end, and the string is fixed at the right en…