TY - JOUR
T1 - L∞(Rn)decay of classical solutions for nonlinear Schrodinger equations
AU - Hayashi, Nakao
AU - Tsutsumi, Masayoshi
N1 - Funding Information:
* This work was supported in part by Grant-in-Aid for Scientific Research (No. 60540124), Ministry of Education and by W.U. Grant for Special Research Project.
PY - 1986/3
Y1 - 1986/3
N2 - 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.
AB - 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.
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U2 - 10.1017/S0308210500019235
DO - 10.1017/S0308210500019235
M3 - Article
AN - SCOPUS:84975976983
SN - 0308-2105
VL - 104
SP - 309
EP - 327
JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
IS - 3-4
ER -