Multilinear estimates with applications to nonlinear Schrödinger and Hartree equations in Lp^-spaces

Ryosuke Hyakuna

研究成果: Article査読

2 被引用数 (Scopus)

抄録

This paper is concerned with the Cauchy problem of the Schrödinger equation with polynomial-type nonlinearities and the Hartree equation. It is shown that these Cauchy problems are locally well posed in (Formula presented.) under certain conditions on p, where (Formula presented.)Local solutions are constructed in a function space based on the fundamental theorem of calculus and the free Schrödinger group (Formula presented.), which was originally used by YI.Zhou.

本文言語English
ページ(範囲)1-16
ページ数16
ジャーナルJournal of Evolution Equations
DOI
出版ステータスAccepted/In press - 2018 3 1

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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