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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

Équation aux dérivées partielles

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Chattez avec Graph Search

Ill-posedness of the quasilinear wave equation in the space $H^7/4 (ln H)^-Béta$ in dimension 2+1

Prediction of the reaction forces of spiral-groove gas journal bearings by artificial neural network regression models

A parabolic local problem with exponential decay of the resonance error for numerical homogenization

Substructured Two-grid and Multi-grid Domain Decomposition Methods

Transverse Noise, Decoherence, and Landau Damping in High-Energy Hadron Colliders

Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs

On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method

Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters

A Continuized View on Nesterov Acceleration

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

Ill-posedness of the quasilinear wave equation in the space $H^7/4 (ln H)^-Béta$ in dimension 2+1

Transverse Noise, Decoherence, and Landau Damping in High-Energy Hadron Colliders

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

Prediction of the reaction forces of spiral-groove gas journal bearings by artificial neural network regression models

Substructured Two-grid and Multi-grid Domain Decomposition Methods

A Continuized View on Nesterov Acceleration

A parabolic local problem with exponential decay of the resonance error for numerical homogenization

Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs

On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method

Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters