TY - JOUR
T1 - Decay of Solutions to a 2D Schrodinger Equation
JO - Journal of Partial Differential Equations
VL - 1
SP - 37
EP - 54
PY - 2011
DA - 2011/02
SN - 24
DO - http://doi.org/10.4208/jpde.v24.n1.3
UR - https://global-sci.org/intro/article_detail/jpde/5196.html
KW - Nonlinear Schrödinger equation
KW - well-posedness
KW - scattering theory
KW - Trudinger-Moser inequality
AB - <p>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 &gt; 2.</p>