Showing math.APShow all
3 papers · 1 filter
math.AP2026
Verifying Well-Posedness of Linear PDEs using Convex Optimization
Declan S. Jagt, Matthew M. Peet
Ensuring that a PDE model is well-posed is a necessary precursor to any form of analysis, control, or numerical simulation. Although the Lumer--Phillips theorem provides necessary…
math.AP2025
A State-Space Representation of Coupled Linear Multivariate PDEs and Stability Analysis using SDP
Declan S. Jagt, Matthew M. Peet
Recently, it has been shown that stability analysis and control of coupled Partial Differential Equations (PDEs) in a single spatial variable can be more conveniently performed usi…
math.AP2025
Representation and Stability Analysis of 1D PDEs with Periodic Boundary Conditions
Declan Jagt, Sergei Chernyshenko, Matthew Peet
PDEs with periodic boundary conditions are frequently used to model processes in large spatial environments, assuming solutions to extend periodically beyond some bounded interval.…