Díaz Díaz, Jesús IldefonsoBegout, Pascal2023-06-202023-06-202006-04-011631-073X10.1016/j.crma.2006.01.027https://hdl.handle.net/20.500.14352/49968We consider the nonlinear Schrodinger equation associated to a singular potential of the form a vertical bar u vertical bar(-(1-m))u + bu, for some In is an element of (0, 1), on a possible unbounded domain. We use some suitable energy methods to prove that if Re(a) + Im(a) > 0 and if the initial and right hand side data have compact support then any possible solution must also have a compact support for any t > 0. This property contrasts with the behavior of solutions associated to regular potentials (m >= 1). Related results are proved also for the associated stationary problem and for self-similar Solution on the whole space and potential a vertical bar u vertical bar(-(1-m)u). The existence of solutions is obtained by some compactness methods under additional conditions.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S1631073X06000550http://www.sciencedirect.com/restricted access514.764.274singular complex potentialsAnálisis matemáticoGeometría diferencial1202 Análisis y Análisis Funcional1204.04 Geometría Diferencial