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Explicit lower bounds for the cost of fast controls for some 1-D parabolic or dispersive equations, and a new lower bound concerning the uniform controllability of the 1-D transport–diffusion equation

Pierre Lissy

Journal of Differential Equations · 2015 · 40 citations · 17 references

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17

The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

Ralf Metzler, J. Klafter · Journal of Physics A Mathematical and General · 2004 · 2.4K citations · Full text

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Exact controllability theorems for linear parabolic equations in one space dimension

H. O. Fattorini, David L. Russell · Archive for Rational Mechanics and Analysis · 1971 · 432 citations

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Some physical applications of fractional Schrödinger equation

Xiaoyi Guo, Mingyu Xu · Journal of Mathematical Physics · 2006 · 268 citations

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Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion

Lop Fat Ho, David L. Russell · SIAM Journal on Control and Optimization · 1983 · 125 citations

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Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time

Luc Miller · Journal of Differential Equations · 2004 · 85 citations

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