Verifying Well-Posedness of Linear PDEs using Convex Optimization

arXiv:2604.00573 · math.AP, cs.SY, eess.SY · Submitted 2026-04-01 · Read on arXiv

math.AP, cs.SY, eess.SY

Submitted: 2026-04-01

Updated: 2026-09-16

Terminology

• Hilbert Space — 18× in this paper · explained in 2 episodes
• Partial Integral — 7× in this paper
• Partial Integral Equation — 4× in this paper
• Lyapunov function — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Linear PI Inequality — 1× in this paper
• Ordinary Differential Equations (ODEs) — 1× in this paper · explained in 2 episodes

Sources

• A State-Space Representation of Coupled Linear Multivariate PDEs and Stability Analysis using SDP

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