Xu Zhang

Null Controllability for Forward and Backward Stochastic Parabolic Equations

Shanjian Tang, Xu Zhang · SIAM Journal on Control and Optimization · 2009 · 135 citations

Duality Argument, Stochastic Calculus, Parabolic Equation +6

Long-Time Behavior of a Coupled Heat-Wave System Arising in Fluid-Structure Interaction

Xu Zhang, Enrique Zuazua · Archive for Rational Mechanics and Analysis · 2006 · 120 citations

Long-time Behavior, Engineering, Physics +10

Polynomial decay and control of a 1−d hyperbolic–parabolic coupled system

Xu Zhang, Enrique Zuazua · Journal of Differential Equations · 2004 · 110 citations

Hyperbolic Conservation Law, Polynomial Decay, Parabolic Equation +4

Polynomial decay for a hyperbolic–parabolic coupled system☆☆The work is supported by the US National Science Foundation grant NSF-DMS-0104096, the Grant BFM2002-03345 of the Spanish MCYT, the FANEDD of China (Project No. 200119), the EU TMR Projects “Homogenization and Multiple Scales” and “Smart Systems”, the NSF of China under grant 10371084, and the Project-sponsored by SRF for ROCS, SEM of China. The first and last authors would like to thank the Laboratoire J.-A. Dieudonné at the Université de Nice, and particularly Professors Y. Brenier, D. Chenais and G. Lebeau, for hospitality during their visit. The third author also thanks Professors N. Burq, I. Mundet and V. Munõs for fruitful discussions.

Jeffrey Rauch, Xu Zhang, Enrique Zuazua · Journal de Mathématiques Pures et Appliquées · 2004 · 100 citations

Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations

Antonio López, Xu Zhang, Enrique Zuazua · Journal de Mathématiques Pures et Appliquées · 2000 · 89 citations

Singularly Perturbed Problem, Mathematical Control Theory, Parabolic Equation +5