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

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

SN - 0308-2105

IS - 3-4

ER -