L(Rn)decay of classical solutions for nonlinear Schrodinger equations

Nakao Hayashi, Masayoshi Tsutsumi

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)309-327
Number of pages19
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume104
Issue number3-4
DOIs
Publication statusPublished - 1986 Mar
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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