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A dependence of the cost of fast controls for the heat equation on the support of initial datum

Hoài-Minh Nguyên

The controllability cost for the heat equation as the control time

T

goes to 0 is well-known of the order

e^{C/T}

for some positive constant

C

, depending on the controlled domain and for all initial datum. In this paper, we prove that the constant $C ...

2021

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A dependence of the cost of fast controls for the heat equation on the support of initial datum

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A dependence of the cost of fast controls for the heat equation on the support of initial datum

Homogenization-based design of microstructured membranes: wake flows past permeable shells

A fast–slow model of banded vegetation pattern formation in drylands

Genetic-optimised aperiodic code for distributed optical fibre sensors

Adaptive Gradient Descent without Descent

Fast Mean Estimation with Sub-Gaussian Rates

Influence of Microplastics on Microbial Structure, Function, and Mechanical Properties of Stream Periphyton

Concept of Variants and Invariants for Reaction Systems, with Application to Estimation, Control and Optimization

Deep learning tools for the measurement of animal behavior in neuroscience

Very-High-Speed Miniaturized Permanent Magnet Motors: Design and Optimization