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Schrödinger equation with noise on the boundary
1.  MartinLutherUniversität, HalleWittenberg, Institute of Mathematics, 06099 Halle (Saale), Germany 
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References:
[1] 
Tomasz Kosmala, Markus Riedle. Variational solutions of stochastic partial differential equations with cylindrical Lévy noise. Discrete and Continuous Dynamical Systems  B, 2021, 26 (6) : 28792898. doi: 10.3934/dcdsb.2020209 
[2] 
Kexue Li, Jigen Peng, Junxiong Jia. Explosive solutions of parabolic stochastic partial differential equations with lévy noise. Discrete and Continuous Dynamical Systems, 2017, 37 (10) : 51055125. doi: 10.3934/dcds.2017221 
[3] 
Francis J. Chung. Partial data for the NeumannDirichlet magnetic Schrödinger inverse problem. Inverse Problems and Imaging, 2014, 8 (4) : 959989. doi: 10.3934/ipi.2014.8.959 
[4] 
Phuong Nguyen, Roger Temam. The stampacchia maximum principle for stochastic partial differential equations forced by lévy noise. Communications on Pure and Applied Analysis, 2020, 19 (4) : 22892331. doi: 10.3934/cpaa.2020100 
[5] 
Xiaobing Feng, Shu Ma. Stable numerical methods for a stochastic nonlinear Schrödinger equation with linear multiplicative noise. Discrete and Continuous Dynamical Systems  S, 2022, 15 (4) : 687711. doi: 10.3934/dcdss.2021071 
[6] 
Minoo Kamrani. Numerical solution of partial differential equations with stochastic Neumann boundary conditions. Discrete and Continuous Dynamical Systems  B, 2019, 24 (10) : 53375354. doi: 10.3934/dcdsb.2019061 
[7] 
Zhen Li, Jicheng Liu. Synchronization for stochastic differential equations with nonlinear multiplicative noise in the mean square sense. Discrete and Continuous Dynamical Systems  B, 2019, 24 (10) : 57095736. doi: 10.3934/dcdsb.2019103 
[8] 
David Lipshutz. Exit time asymptotics for small noise stochastic delay differential equations. Discrete and Continuous Dynamical Systems, 2018, 38 (6) : 30993138. doi: 10.3934/dcds.2018135 
[9] 
Victor Isakov, JennNan Wang. Increasing stability for determining the potential in the Schrödinger equation with attenuation from the DirichlettoNeumann map. Inverse Problems and Imaging, 2014, 8 (4) : 11391150. doi: 10.3934/ipi.2014.8.1139 
[10] 
Mourad Bellassoued, Zouhour Rezig. Recovery of transversal metric tensor in the Schrödinger equation from the DirichlettoNeumann map. Discrete and Continuous Dynamical Systems  S, 2022, 15 (5) : 10611084. doi: 10.3934/dcdss.2021158 
[11] 
Victor Isakov. Increasing stability for the Schrödinger potential from the Dirichletto Neumann map. Discrete and Continuous Dynamical Systems  S, 2011, 4 (3) : 631640. doi: 10.3934/dcdss.2011.4.631 
[12] 
Jussi Behrndt, A. F. M. ter Elst. The DirichlettoNeumann map for Schrödinger operators with complex potentials. Discrete and Continuous Dynamical Systems  S, 2017, 10 (4) : 661671. doi: 10.3934/dcdss.2017033 
[13] 
Serge Dumont, Olivier Goubet, Youcef Mammeri. Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion. Discrete and Continuous Dynamical Systems  S, 2021, 14 (8) : 28772891. doi: 10.3934/dcdss.2020456 
[14] 
Leonid Shaikhet. Stability of delay differential equations with fading stochastic perturbations of the type of white noise and poisson's jumps. Discrete and Continuous Dynamical Systems  B, 2020, 25 (9) : 36513657. doi: 10.3934/dcdsb.2020077 
[15] 
Yanqiang Chang, Huabin Chen. Stability analysis of stochastic delay differential equations with Markovian switching driven by Lévy noise. Discrete and Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021301 
[16] 
Xiang Lv. Existence of unstable stationary solutions for nonlinear stochastic differential equations with additive white noise. Discrete and Continuous Dynamical Systems  B, 2022, 27 (4) : 23132323. doi: 10.3934/dcdsb.2021133 
[17] 
Tian Zhang, Chuanhou Gao. Stability with general decay rate of hybrid neutral stochastic pantograph differential equations driven by Lévy noise. Discrete and Continuous Dynamical Systems  B, 2022, 27 (7) : 37253747. doi: 10.3934/dcdsb.2021204 
[18] 
Yong Ren, Qi Zhang. Stabilization for hybrid stochastic differential equations driven by Lévy noise via periodically intermittent control. Discrete and Continuous Dynamical Systems  B, 2022, 27 (7) : 38113829. doi: 10.3934/dcdsb.2021207 
[19] 
María J. GarridoAtienza, Bohdan Maslowski, Jana Šnupárková. Semilinear stochastic equations with bilinear fractional noise. Discrete and Continuous Dynamical Systems  B, 2016, 21 (9) : 30753094. doi: 10.3934/dcdsb.2016088 
[20] 
Boling Guo, Guoli Zhou. On the backward uniqueness of the stochastic primitive equations with additive noise. Discrete and Continuous Dynamical Systems  B, 2019, 24 (7) : 31573174. doi: 10.3934/dcdsb.2018305 
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