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Weak Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress
1. | Department of Mathematics and Statistics, Wichita State University, Wichita, Kansas 67260, United States |
2. | Department of Mathematics and Statistics, Wichita State University, Wichita, KS 67206, United States |
[1] |
Gunther Uhlmann, Jenn-Nan Wang. Unique continuation property for the elasticity with general residual stress. Inverse Problems and Imaging, 2009, 3 (2) : 309-317. doi: 10.3934/ipi.2009.3.309 |
[2] |
Victor Isakov. Carleman estimates for some anisotropic elasticity systems and applications. Evolution Equations and Control Theory, 2012, 1 (1) : 141-154. doi: 10.3934/eect.2012.1.141 |
[3] |
Rebecca Vandiver. Effect of residual stress on peak cap stress in arteries. Mathematical Biosciences & Engineering, 2014, 11 (5) : 1199-1214. doi: 10.3934/mbe.2014.11.1199 |
[4] |
Nanhee Kim. Uniqueness and Hölder type stability of continuation for the linear thermoelasticity system with residual stress. Evolution Equations and Control Theory, 2013, 2 (4) : 679-693. doi: 10.3934/eect.2013.2.679 |
[5] |
Xinchi Huang, Masahiro Yamamoto. Carleman estimates for a magnetohydrodynamics system and application to inverse source problems. Mathematical Control and Related Fields, 2022 doi: 10.3934/mcrf.2022005 |
[6] |
Moniba Shams. Wave-propagation in an incompressible hollow elastic cylinder with residual stress. Discrete and Continuous Dynamical Systems - S, 2020, 13 (10) : 2877-2904. doi: 10.3934/dcdss.2020123 |
[7] |
El Mustapha Ait Ben Hassi, Farid Ammar khodja, Abdelkarim Hajjaj, Lahcen Maniar. Carleman Estimates and null controllability of coupled degenerate systems. Evolution Equations and Control Theory, 2013, 2 (3) : 441-459. doi: 10.3934/eect.2013.2.441 |
[8] |
Filippo Terragni, José M. Vega. Simulation of complex dynamics using POD 'on the fly' and residual estimates. Conference Publications, 2015, 2015 (special) : 1060-1069. doi: 10.3934/proc.2015.1060 |
[9] |
Ihyeok Seo. Carleman estimates for the Schrödinger operator and applications to unique continuation. Communications on Pure and Applied Analysis, 2012, 11 (3) : 1013-1036. doi: 10.3934/cpaa.2012.11.1013 |
[10] |
Matthias Eller, Daniel Toundykov. Carleman estimates for elliptic boundary value problems with applications to the stablization of hyperbolic systems. Evolution Equations and Control Theory, 2012, 1 (2) : 271-296. doi: 10.3934/eect.2012.1.271 |
[11] |
Giuseppe Floridia, Hiroshi Takase, Masahiro Yamamoto. A Carleman estimate and an energy method for a first-order symmetric hyperbolic system. Inverse Problems and Imaging, , () : -. doi: 10.3934/ipi.2022016 |
[12] |
Peng Gao. Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications. Evolution Equations and Control Theory, 2018, 7 (3) : 465-499. doi: 10.3934/eect.2018023 |
[13] |
Thuy N. T. Nguyen. Carleman estimates for semi-discrete parabolic operators with a discontinuous diffusion coefficient and applications to controllability. Mathematical Control and Related Fields, 2014, 4 (2) : 203-259. doi: 10.3934/mcrf.2014.4.203 |
[14] |
Genni Fragnelli. Null controllability of degenerate parabolic equations in non divergence form via Carleman estimates. Discrete and Continuous Dynamical Systems - S, 2013, 6 (3) : 687-701. doi: 10.3934/dcdss.2013.6.687 |
[15] |
Peng Gao. Carleman estimates and Unique Continuation Property for 1-D viscous Camassa-Holm equation. Discrete and Continuous Dynamical Systems, 2017, 37 (1) : 169-188. doi: 10.3934/dcds.2017007 |
[16] |
Judith Vancostenoble. Improved Hardy-Poincaré inequalities and sharp Carleman estimates for degenerate/singular parabolic problems. Discrete and Continuous Dynamical Systems - S, 2011, 4 (3) : 761-790. doi: 10.3934/dcdss.2011.4.761 |
[17] |
Agnid Banerjee, Ramesh Manna. Carleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuation. Discrete and Continuous Dynamical Systems, 2021, 41 (11) : 5105-5139. doi: 10.3934/dcds.2021070 |
[18] |
Xinchi Huang, Atsushi Kawamoto. Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates. Inverse Problems and Imaging, 2022, 16 (1) : 39-67. doi: 10.3934/ipi.2021040 |
[19] |
Baowei Feng. On the decay rates for a one-dimensional porous elasticity system with past history. Communications on Pure and Applied Analysis, 2019, 18 (6) : 2905-2921. doi: 10.3934/cpaa.2019130 |
[20] |
Arthur Bottois, Nicolae Cîndea. Controllability of the linear elasticity as a first-order system using a stabilized space-time mixed formulation. Mathematical Control and Related Fields, 2022 doi: 10.3934/mcrf.2022028 |
2021 Impact Factor: 1.588
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