@Article{JPDE-24-37, author = {Tarek Saanouni }, title = {Decay of Solutions to a 2D Schrodinger Equation}, journal = {Journal of Partial Differential Equations}, year = {2011}, volume = {24}, number = {1}, pages = {37--54}, abstract = {
Let u∈C(R,H^1) be the solution to the initial value problem for a 2D semilinear Schrödinger equation with exponential type nonlinearity, given in [1]. We prove that the L^r norms of u decay as t→±∞, provided that r > 2.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v24.n1.3}, url = {http://global-sci.org/intro/article_detail/jpde/5196.html} }