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A secondorder maximum principle for singular optimal stochastic controls
Stabilization of some coupled hyperbolic/parabolic equations
1.  Department of Mathematics & Statistics, Florida International University, Miami, FL 33199, United States 
[1] 
Pedro Roberto de Lima, Hugo D. Fernández Sare. General condition for exponential stability of thermoelastic Bresse systems with Cattaneo's law. Communications on Pure & Applied Analysis, 2020, 19 (7) : 35753596. doi: 10.3934/cpaa.2020156 
[2] 
Gervy Marie Angeles, Gilbert Peralta. Energy method for exponential stability of coupled onedimensional hyperbolic PDEODE systems. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020108 
[3] 
Yaping Wu, Niannian Yan. Stability of traveling waves for autocatalytic reaction systems with strong decay. Discrete & Continuous Dynamical Systems  B, 2017, 22 (4) : 16011633. doi: 10.3934/dcdsb.2017033 
[4] 
Moncef Aouadi, Alain Miranville. Quasistability and global attractor in nonlinear thermoelastic diffusion plate with memory. Evolution Equations & Control Theory, 2015, 4 (3) : 241263. doi: 10.3934/eect.2015.4.241 
[5] 
Salim A. Messaoudi, Abdelfeteh Fareh. Exponential decay for linear damped porous thermoelastic systems with second sound. Discrete & Continuous Dynamical Systems  B, 2015, 20 (2) : 599612. doi: 10.3934/dcdsb.2015.20.599 
[6] 
Ramon Quintanilla, Reinhard Racke. Stability in thermoelasticity of type III. Discrete & Continuous Dynamical Systems  B, 2003, 3 (3) : 383400. doi: 10.3934/dcdsb.2003.3.383 
[7] 
Abdallah Ben Abdallah, Farhat Shel. Exponential stability of a general network of 1d thermoelastic rods. Mathematical Control & Related Fields, 2012, 2 (1) : 116. doi: 10.3934/mcrf.2012.2.1 
[8] 
Francesca Bucci, Igor Chueshov. Longtime dynamics of a coupled system of nonlinear wave and thermoelastic plate equations. Discrete & Continuous Dynamical Systems, 2008, 22 (3) : 557586. doi: 10.3934/dcds.2008.22.557 
[9] 
Hichem Kasri, Amar Heminna. Exponential stability of a coupled system with Wentzell conditions. Evolution Equations & Control Theory, 2016, 5 (2) : 235250. doi: 10.3934/eect.2016003 
[10] 
Lei Wang, ZhongJie Han, GenQi Xu. Exponentialstability and superstability of a thermoelastic system of type II with boundary damping. Discrete & Continuous Dynamical Systems  B, 2015, 20 (8) : 27332750. doi: 10.3934/dcdsb.2015.20.2733 
[11] 
Yong Ren, Huijin Yang, Wensheng Yin. Weighted exponential stability of stochastic coupled systems on networks with delay driven by $ G $Brownian motion. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 33793393. doi: 10.3934/dcdsb.2018325 
[12] 
Adriana Flores de Almeida, Marcelo Moreira Cavalcanti, Janaina Pedroso Zanchetta. Exponential stability for the coupled KleinGordonSchrödinger equations with locally distributed damping. Evolution Equations & Control Theory, 2019, 8 (4) : 847865. doi: 10.3934/eect.2019041 
[13] 
Luis Barreira, Claudia Valls. Delay equations and nonuniform exponential stability. Discrete & Continuous Dynamical Systems  S, 2008, 1 (2) : 219223. doi: 10.3934/dcdss.2008.1.219 
[14] 
Farah Abdallah, Denis Mercier, Serge Nicaise. Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems. Evolution Equations & Control Theory, 2013, 2 (1) : 133. doi: 10.3934/eect.2013.2.1 
[15] 
Ramón Quintanilla, Reinhard Racke. Stability for thermoelastic plates with two temperatures. Discrete & Continuous Dynamical Systems, 2017, 37 (12) : 63336352. doi: 10.3934/dcds.2017274 
[16] 
Margareth S. Alves, Rodrigo N. Monteiro. Stability of nonclassical thermoelasticity mixture problems. Communications on Pure & Applied Analysis, 2020, 19 (10) : 48794898. doi: 10.3934/cpaa.2020216 
[17] 
Yijing Sun, Yuxin Tan. Kirchhoff type equations with strong singularities. Communications on Pure & Applied Analysis, 2019, 18 (1) : 181193. doi: 10.3934/cpaa.2019010 
[18] 
Gilbert Peralta. Uniform exponential stability of a fluidplate interaction model due to thermal effects. Evolution Equations & Control Theory, 2020, 9 (1) : 3960. doi: 10.3934/eect.2020016 
[19] 
Yan Cui, Zhiqiang Wang. Asymptotic stability of wave equations coupled by velocities. Mathematical Control & Related Fields, 2016, 6 (3) : 429446. doi: 10.3934/mcrf.2016010 
[20] 
Valentin Keyantuo, Louis Tebou, Mahamadi Warma. A Gevrey class semigroup for a thermoelastic plate model with a fractional Laplacian: Between the EulerBernoulli and Kirchhoff models. Discrete & Continuous Dynamical Systems, 2020, 40 (5) : 28752889. doi: 10.3934/dcds.2020152 
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