Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions

Yue Wang; Günter Leugering; Tatsien Li

doi:10.1002/mma.4265

Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4265 ◽

2016 ◽

Vol 40 (10) ◽

pp. 3808-3820 ◽

Cited By ~ 4

Author(s):

Yue Wang ◽

Günter Leugering ◽

Tatsien Li

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Dynamical Boundary Conditions ◽

Quasilinear Wave Equations

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Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2019.02.006 ◽

2019 ◽

Vol 49 ◽

pp. 71-89 ◽

Cited By ~ 1

Author(s):

Yue Wang ◽

Günter Leugering ◽

Tatsien Li

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Coupled System ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Dynamical Boundary Conditions ◽

Quasilinear Wave Equations

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Exact Boundary Controllability of Nodal Profile for 1-D Quasilinear Wave Equations

SpringerBriefs in Mathematics - Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems ◽

10.1007/978-981-10-2842-7_6 ◽

2016 ◽

pp. 75-82

Author(s):

Tatsien Li ◽

Ke Wang ◽

Qilong Gu

Keyword(s):

Wave Equations ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Quasilinear Wave Equations

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Exact Boundary Controllability on a Planar Tree-Like Network of Vibrating Strings with Dynamical Boundary Conditions

Journal of Mathematical Study ◽

10.4208/jms.v51n3.18.01 ◽

2018 ◽

Vol 51 (3) ◽

pp. 227-252

Author(s):

Tatsien Li and Yue Wang

Keyword(s):

Boundary Conditions ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Dynamical Boundary Conditions

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Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-020-0201-1 ◽

2020 ◽

Vol 41 (3) ◽

pp. 325-334

Author(s):

Yue Wang ◽

Günter Leugering ◽

Tatsien Li

Keyword(s):

Boundary Conditions ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Spatial Vibration ◽

Exact Boundary ◽

Dynamical Boundary Conditions

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Global exact boundary controllability for 1-D quasilinear wave equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1358 ◽

2010 ◽

Vol 34 (3) ◽

pp. 315-324 ◽

Cited By ~ 6

Author(s):

Ke Wang

Keyword(s):

Wave Equations ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Quasilinear Wave Equations

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Exact boundary controllability for quasilinear wave equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.04.012 ◽

2006 ◽

Vol 190 (1-2) ◽

pp. 127-135 ◽

Cited By ~ 7

Author(s):

Li Tatsien

Keyword(s):

Wave Equations ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Quasilinear Wave Equations

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Exact boundary controllability of nodal profile for 1-D quasilinear wave equations

Frontiers of Mathematics in China ◽

10.1007/s11464-011-0135-8 ◽

2011 ◽

Vol 6 (3) ◽

pp. 545-555 ◽

Cited By ~ 5

Author(s):

Ke Wang

Keyword(s):

Wave Equations ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Quasilinear Wave Equations

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Exact boundary controllability for non-autonomous quasilinear wave equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.843 ◽

2007 ◽

Vol 30 (11) ◽

pp. 1311-1327 ◽

Cited By ~ 8

Author(s):

Zhiqiang Wang

Keyword(s):

Wave Equations ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Quasilinear Wave Equations

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Exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree-like network of strings

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2881 ◽

2013 ◽

Vol 37 (8) ◽

pp. 1206-1218 ◽

Cited By ~ 3

Author(s):

Ke Wang ◽

Qilong Gu

Keyword(s):

Wave Equations ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Quasilinear Wave Equations

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Exact Boundary Controllability for Quasilinear Wave Equations

Progress in Nonlinear Differential Equations and Their Applications - Trends in Partial Differential Equations of Mathematical Physics ◽

10.1007/3-7643-7317-2_12 ◽

2005 ◽

pp. 149-160

Author(s):

Li Tatsien

Keyword(s):

Wave Equations ◽

Exact Boundary Controllability ◽

Boundary Controllability ◽

Exact Boundary ◽

Quasilinear Wave Equations

Download Full-text