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Inverse problems for quantum trees
1.  Department of Mathematics and Statistics, University of Alaska, Fairbanks, AK 997756660, United States 
2.  Dept. of Mathematics, LTH, Lund Univ., Box 118, 221 00 Lund, Sweden 
[1] 
Bopeng Rao, Laila Toufayli, Ali Wehbe. Stability and controllability of a wave equation with dynamical boundary control. Mathematical Control & Related Fields, 2015, 5 (2) : 305320. doi: 10.3934/mcrf.2015.5.305 
[2] 
Chuang Zheng. Inverse problems for the fourth order Schrödinger equation on a finite domain. Mathematical Control & Related Fields, 2015, 5 (1) : 177189. doi: 10.3934/mcrf.2015.5.177 
[3] 
Tony Liimatainen, Lauri Oksanen. Counterexamples to inverse problems for the wave equation. Inverse Problems & Imaging, , () : . doi: 10.3934/ipi.2021058 
[4] 
Camille Laurent. Internal control of the Schrödinger equation. Mathematical Control & Related Fields, 2014, 4 (2) : 161186. doi: 10.3934/mcrf.2014.4.161 
[5] 
Frank Wusterhausen. Schrödinger equation with noise on the boundary. Conference Publications, 2013, 2013 (special) : 791796. doi: 10.3934/proc.2013.2013.791 
[6] 
Mohamed Ouzahra. Controllability of the semilinear wave equation governed by a multiplicative control. Evolution Equations & Control Theory, 2019, 8 (4) : 669686. doi: 10.3934/eect.2019039 
[7] 
Gen Nakamura, Michiyuki Watanabe. An inverse boundary value problem for a nonlinear wave equation. Inverse Problems & Imaging, 2008, 2 (1) : 121131. doi: 10.3934/ipi.2008.2.121 
[8] 
Harald Friedrich. Semiclassical and large quantum number limits of the Schrödinger equation. Conference Publications, 2003, 2003 (Special) : 288294. doi: 10.3934/proc.2003.2003.288 
[9] 
Alexei Rybkin. On the boundary control approach to inverse spectral and scattering theory for Schrödinger operators. Inverse Problems & Imaging, 2009, 3 (1) : 139149. doi: 10.3934/ipi.2009.3.139 
[10] 
Anna Doubova, Enrique FernándezCara. Some geometric inverse problems for the linear wave equation. Inverse Problems & Imaging, 2015, 9 (2) : 371393. doi: 10.3934/ipi.2015.9.371 
[11] 
Hans Zwart, Yann Le Gorrec, Bernhard Maschke. Relating systems properties of the wave and the Schrödinger equation. Evolution Equations & Control Theory, 2015, 4 (2) : 233240. doi: 10.3934/eect.2015.4.233 
[12] 
Larissa Fardigola, Kateryna Khalina. Controllability problems for the heat equation on a halfaxis with a bounded control in the Neumann boundary condition. Mathematical Control & Related Fields, 2021, 11 (1) : 211236. doi: 10.3934/mcrf.2020034 
[13] 
Sergei Avdonin, Pavel Kurasov, Marlena Nowaczyk. Inverse problems for quantum trees II: Recovering matching conditions for star graphs. Inverse Problems & Imaging, 2010, 4 (4) : 579598. doi: 10.3934/ipi.2010.4.579 
[14] 
Diana Keller. Optimal control of a linear stochastic Schrödinger equation. Conference Publications, 2013, 2013 (special) : 437446. doi: 10.3934/proc.2013.2013.437 
[15] 
Kai Wang, Dun Zhao, Binhua Feng. Optimal nonlinearity control of Schrödinger equation. Evolution Equations & Control Theory, 2018, 7 (2) : 317334. doi: 10.3934/eect.2018016 
[16] 
Patrick Martinez, Judith Vancostenoble. The cost of boundary controllability for a parabolic equation with inverse square potential. Evolution Equations & Control Theory, 2019, 8 (2) : 397422. doi: 10.3934/eect.2019020 
[17] 
Li Liang. Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data. Inverse Problems & Imaging, 2015, 9 (2) : 469478. doi: 10.3934/ipi.2015.9.469 
[18] 
Arnaud Heibig, Mohand Moussaoui. Exact controllability of the wave equation for domains with slits and for mixed boundary conditions. Discrete & Continuous Dynamical Systems, 1996, 2 (3) : 367386. doi: 10.3934/dcds.1996.2.367 
[19] 
Abdelmouhcene Sengouga. Exact boundary observability and controllability of the wave equation in an interval with two moving endpoints. Evolution Equations & Control Theory, 2020, 9 (1) : 125. doi: 10.3934/eect.2020014 
[20] 
Vyacheslav A. Trofimov, Evgeny M. Trykin. A new way for decreasing of amplitude of wave reflected from artificial boundary condition for 1D nonlinear Schrödinger equation. Conference Publications, 2015, 2015 (special) : 10701078. doi: 10.3934/proc.2015.1070 
2020 Impact Factor: 1.639
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