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Exponential decay estimates for the damped defocusing Schrödinger equation in exterior domains
Marcelo M. Cavalcanti, Wellington J. Corrêa and Valéria Neves Domingos Cavalcanti Journal of Mathematical Physics 64(10) (2023) https://doi.org/10.1063/5.0101506
Exponential stability for the nonlinear Schrödinger equation with locally distributed damping
Marcelo M. Cavalcanti, Wellington J. Corrêa, Türker Özsarı, Mauricio Sepúlveda and Rodrigo Véjar-Asem Communications in Partial Differential Equations 45(9) 1134 (2020) https://doi.org/10.1080/03605302.2020.1760885
Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces
Marcelo M. Cavalcanti, Wellington J. Corrêa, Valéria N. Domingos Cavalcanti and Maria R. Astudillo Rojas Zeitschrift für angewandte Mathematik und Physik 69(4) (2018) https://doi.org/10.1007/s00033-018-0985-y
Local energy decay for the damped Klein-Gordon equation in exterior domain
Studies in Phase Space Analysis with Applications to PDEs
Luc Robbiano Progress in Nonlinear Differential Equations and Their Applications, Studies in Phase Space Analysis with Applications to PDEs 84 355 (2013) https://doi.org/10.1007/978-1-4614-6348-1_16
Smoothing Effect for the Regularized Schrödinger Equation with Non-Controlled Orbits