Averaged dynamics and control for heat equations with random diffusion
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Publication:2059500
DOI10.1016/j.sysconle.2021.105055zbMath1480.93191OpenAlexW3162594387MaRDI QIDQ2059500
Jon Asier Bárcena-Petisco, Enrique Zuazua
Publication date: 14 December 2021
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2021.105055
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05) Observability (93B07) Stochastic systems in control theory (general) (93E03) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
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- Stable observation of additive superpositions of partial differential equations
- Averaged control and observation of parameter-depending wave equations
- Observability inequalities and measurable sets
- 100 years of Weyl's law
- Local elliptic regularity for the Dirichlet fractional Laplacian
- A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups
- Sharp observability estimates for heat equations
- Averaged controllability of parameter dependent conservative semigroups
- On the controllability of anomalous diffusions generated by the fractional Laplacian
- Semigroups of linear operators and applications to partial differential equations
- Robust averaged control of vibrations for the Bernoulli-Euler beam equation
- On average controllability of random heat equations with arbitrarily distributed diffusivity
- Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time
- An observability estimate for parabolic equations from a measurable set in time and its applications
- Strong convergent approximations of null controls for the 1D heat equation
- Averaged control
- Optimal shape and location of sensors for parabolic equations with random initial data
- New blow-up rates for fast controls of Schrödinger and heat equations
- Exact controllability theorems for linear parabolic equations in one space dimension
- Spectral inequality and optimal cost of controllability for the Stokes system
- On the Controllability of a Fractional Order Parabolic Equation
- The Control Transmutation Method and the Cost of Fast Controls
- Numerical approximation of null controls for the heat equation: Ill-posedness and remedies
- Contróle Exact De Léquation De La Chaleur
- Analyticity of Solutions to Parabolic Evolutions and Applications
- A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators
- Numerical approximation of the averaged controllability for the wave equation with unknown velocity of propagation
- Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects
- Null controllability of the heat equation in pseudo-cylinders by an internal control
- The cost of approximate controllability for heat equations: The linear case
- Averaged controllability for random evolution Partial Differential Equations
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