Handbook of mathematical functions with formulas, graphs and mathematical tables, National Bureau os Standards. App. Math. series, vol.55, 1964. ,
Transport equation and Cauchy problem for BV vector fields and applications, Journ??es ??quations aux d??riv??es partielles, vol.158, pp.227-260, 2004. ,
DOI : 10.5802/jedp.1
Families of Exponentials: The Method of Moments in Controllability Problems for Distributed Parameter Systems, 1995. ,
Carleman Estimates for a Class of Degenerate Parabolic Operators, SIAM Journal on Control and Optimization, vol.47, issue.1, pp.1-19, 2008. ,
DOI : 10.1137/04062062X
Unique continuation and approximate controllability for a degenerate parabolic equation, Applicable Analysis, vol.186, issue.2, 2011. ,
DOI : 10.1088/0266-5611/26/10/105003
URL : https://hal.archives-ouvertes.fr/hal-00876369
On the non-uniform null controllability of a linear KdV equation, Asymptotic Analysis, vol.94, issue.1-2, pp.33-69, 2015. ,
DOI : 10.3233/ASY-151300
Singular optimal control: A linear 1-D parabolic-hyperbolic example, Asymptotic Analysis, vol.44, pp.237-257, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00018367
Ordinary differential equations, transport theory and Sobolev spaces, Inventiones Mathematicae, vol.307, issue.3, pp.511-547, 1989. ,
DOI : 10.1007/BF01393835
Exact controllability theorems for linear parabolic equations in one space dimension, Archive for Rational Mechanics and Analysis, pp.272-292, 1971. ,
A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit, Journal of Functional Analysis, vol.258, issue.3, pp.852-868, 2010. ,
DOI : 10.1016/j.jfa.2009.06.035
URL : https://hal.archives-ouvertes.fr/hal-00660789
On the Uniform Controllability of the Burgers Equation, SIAM Journal on Control and Optimization, vol.46, issue.4, pp.1211-1238, 2007. ,
DOI : 10.1137/060664677
URL : https://hal.archives-ouvertes.fr/hal-00660830
UNIFORM CONTROLLABILITY OF A TRANSPORT EQUATION IN ZERO DIFFUSION???DISPERSION LIMIT, Mathematical Models and Methods in Applied Sciences, vol.19, issue.09, pp.1567-1601, 2009. ,
DOI : 10.1142/S0218202509003899
URL : https://hal.archives-ouvertes.fr/hal-00660812
Singular Optimal Control for a Transport-Diffusion Equation, Communications in Partial Differential Equations, vol.44, issue.12, pp.10-12, 2007. ,
DOI : 10.1137/1020095
Exact Boundary Controllability of 1-D Parabolic and Hyperbolic Degenerate Equations, SIAM Journal on Control and Optimization, vol.52, issue.4, pp.2037-2054, 2014. ,
DOI : 10.1137/120901374
Differentialgleichungen: Lösungsmethoden und lösungen, 1948. ,
Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion, SIAM Journal on Control and Optimization, vol.21, issue.4, pp.614-640 ,
DOI : 10.1137/0321037
Contr??le Exact De L??quation De La Chaleur, Communications in Partial Differential Equations, vol.52, issue.1-2, pp.335-356, 1995. ,
DOI : 10.1016/0022-0396(87)90043-X
Fourier series in control theory, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00086863
Uniform Controllability of Scalar Conservation Laws in the Vanishing Viscosity Limit, SIAM Journal on Control and Optimization, vol.50, issue.3, pp.1661-1699, 2012. ,
DOI : 10.1137/100803043
A link between the cost of fast controls for the 1-D heat equation and the uniform controllability of a 1-D transport-diffusion equation, Comptes Rendus Mathematique, vol.350, issue.11-12, pp.11-12, 2012. ,
DOI : 10.1016/j.crma.2012.06.004
URL : https://hal.archives-ouvertes.fr/hal-00702497
An application of a conjecture due to Ervedoza and Zuazua concerning the observability of the heat equation in small time to a conjecture due to Coron and Guerrero concerning the uniform controllability of a convection???diffusion equation in the vanishing viscosity limit, Systems & Control Letters, vol.69, pp.98-102, 2014. ,
DOI : 10.1016/j.sysconle.2014.04.011
On the Cost of Fast Controls for Some Families of Dispersive or Parabolic Equations in One Space Dimension, SIAM Journal on Control and Optimization, vol.52, issue.4, pp.2651-2676 ,
DOI : 10.1137/140951746
URL : https://hal.archives-ouvertes.fr/hal-00859458
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, Journal of Differential Equations, vol.259, issue.10, pp.5331-5352, 2015. ,
DOI : 10.1016/j.jde.2015.06.031
URL : https://hal.archives-ouvertes.fr/hal-01133526
Monotonic sequences related to zeros of Bessel functions, Numerical Algorithms, vol.109, issue.1???2, pp.221-233, 2008. ,
DOI : 10.1007/s11075-008-9189-4
Non-homogeneous boundary value problems and applications, 1972. ,
Asymptotics and special functions, 1974. ,
The logarithmic integral I & II, Cambridge Studies in Advanced Mathematics Cambridge Studies in Advanced Mathematics, vol.12, issue.21, 1988. ,
Trace Formulas for Some Singular Differential Operators and Applications, Mathematische Nachrichten, vol.211, issue.1, pp.127-157, 2000. ,
DOI : 10.1002/(SICI)1522-2616(200003)211:1<127::AID-MANA127>3.0.CO;2-A
Real and complex analysis, 1966. ,
Equations of evolution, 1975. ,
New blow-up rates for fast controls of Schr??dinger and heat equations, Journal of Differential Equations, vol.243, issue.1, pp.70-100, 2007. ,
DOI : 10.1016/j.jde.2007.06.019
A Treatise on the Theory of Bessel Functions, The Mathematical Gazette, vol.18, issue.231, 1958. ,
DOI : 10.2307/3605513