We study the initial value problem for the nonlinear Schrodinger equation [formula omited] Under suitable regularity assumptions on f and ϕ, and growth and sign conditions on f, it is shown that the maximum norms of solutions to (*) decay as t→±∞at the same rate as that of solutions to the free Schrodinger equation.
|Number of pages||19|
|Journal||Proceedings of the Royal Society of Edinburgh: Section A Mathematics|
|Publication status||Published - 1986 Mar|
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