The cost of approximate controllability of heat equation with general dynamical boundary conditions
暂无分享,去创建一个
Lahcen Maniar | S. E. Chorfi | Idriss Boutaayamou | Omar Oukdach | L. Maniar | I. Boutaayamou | Salah-Eddine Chorfi | O. Oukdach
[1] Hang Gao,et al. Lp and L∞ norm estimates of the cost of the controllability for heat equations , 2009 .
[2] Zhenhai Liu,et al. Exact controllability of the superlinear heat equation , 2008 .
[3] Hugo Leiva,et al. Approximate Controllability of a Semilinear Heat Equation , 2013 .
[4] Karl Kunisch,et al. L2-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives , 1984 .
[5] Irena Lasiecka,et al. Inverse/Observability Estimates for Second-Order Hyperbolic Equations with Variable Coefficients , 1999 .
[6] Masahiro Yamamoto,et al. Carleman Inequalities for Parabolic Equations in Sobolev Spaces of Negative Order and Exact Controllability for Semilinear Parabolic Equations , 2003 .
[8] J. Coron. Control and Nonlinearity , 2007 .
[9] H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .
[10] R. Temam,et al. Analyse convexe et problèmes variationnels , 1974 .
[11] Enrique Zuazua,et al. The cost of approximate controllability for heat equations: the linear case , 2000, Advances in Differential Equations.
[12] Enrique Zuazua,et al. Approximate controllability for semilinear heat equations with globally Lipschitz nonlinearities , 1999 .
[13] Louis Tebou,et al. Carleman Inequalities for Wave Equations with Oscillatory Boundary Conditions and Application , 2017, SIAM J. Control. Optim..
[14] Juan Luis Vázquez,et al. Heat Equation with Dynamical Boundary Conditions of Reactive Type , 2008 .
[15] J. Lions,et al. Inequalities in mechanics and physics , 1976 .
[16] Jacques Simeon,et al. Compact Sets in the Space L~(O, , 2005 .
[17] Roland Schnaubelt,et al. Solvability and Maximal Regularity of Parabolic Evolution Equations with Coefficients Continuous in Time , 2001 .
[18] K. Phung. Note on the cost of the approximate controllability for the heat equation with potential , 2004 .
[19] Oleg Yu. Imanuvilov,et al. Controllability of Evolution equations , 1996 .
[20] L. Maniar,et al. Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions , 2020, Evolution Equations & Control Theory.
[21] Sebastian Anita,et al. NULL CONTROLLABILITY OF NONLINEAR CONVECTIVE HEAT EQUATIONS , 2000 .
[22] Sergey Zelik,et al. Exponential attractors for the Cahn–Hilliard equation with dynamic boundary conditions , 2005 .
[23] L. Maniar,et al. Null controllability for a heat equation with dynamic boundary conditions and drift terms , 2020, Evolution Equations & Control Theory.
[24] Gisèle Ruiz Goldstein,et al. Derivation and physical interpretation of general boundary conditions , 2006, Advances in Differential Equations.
[25] Sergio Guerrero,et al. Global Carleman Inequalities for Parabolic Systems and Applications to Controllability , 2006, SIAM J. Control. Optim..
[26] L. Maniar,et al. Null controllability for parabolic equations with dynamic boundary conditions of reactive-diffusive type , 2013, 1311.0761.
[27] A. Rhandi,et al. Parabolic equations with dynamic boundary conditions and drift terms , 2019, Mathematische Nachrichten.
[28] Irena Lasiecka,et al. Carleman Estimates and Exact Boundary Controllability for a System of Coupled, Nonconservative Second-Order Hyperbolic Equations , 1997 .
[29] R. Glowinski,et al. Exact and approximate controllability for distributed parameter systems , 1995, Acta Numerica.
[30] Yi Zhao,et al. The cost of approximate controllability for semilinear heat equations , 2009 .
[31] Luc Miller,et al. Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time , 2003, math/0307158.
[32] The Carleman inequality for linear parabolic equations in $L^q$-norm , 2002 .
[33] M. Warma,et al. Existence of bounded solutions for a class of quasilinear elliptic systems on manifolds with boundary , 2013 .