DeepONet learns the operator from moving-boundary trajectories to backstepping kernels for parabolic PDE stabilization on time-varying domains, yielding exponential decay on finite intervals and ~1000x speedup over repeated kernel PDE solves.
Operator learning for prescribed-time stabilization of reaction-diffusion systems.arXiv preprint arXiv:2602.23157, 2026
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Operator Learning for PDE Backstepping Control of Parabolic Equations on Time-Varying Domains
DeepONet learns the operator from moving-boundary trajectories to backstepping kernels for parabolic PDE stabilization on time-varying domains, yielding exponential decay on finite intervals and ~1000x speedup over repeated kernel PDE solves.