二维二次非线性schrÖdinger方程的非齐次dirichlet边值问题

IF 0.6 4区数学 Q3 MATHEMATICS Kyushu Journal of Mathematics Pub Date : 2020-01-01 DOI:10.2206/kyushujm.74.375

N. Hayashi, E. Kaikina

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引用次数: 0

摘要

研究二次非线性Schrödinger方程的非齐次dirichlet边值问题，认为这是解的大时渐近性的一个临界情况。利用自由Schrödinger群的经典能量法和因子分解技术，给出了方程小解渐近性的初始数据和边界数据的充分条件。

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INHOMOGENEOUS DIRICHLET-BOUNDARY VALUE PROBLEM FOR TWO-DIMENSIONAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATIONS

We consider the inhomogeneous Dirichlet–boundary value problem for the quadratic nonlinear Schrödinger equations, which is considered as a critical case for the largetime asymptotics of solutions. We present sufficient conditions on the initial and boundary data which ensure asymptotic behavior of small solutions to the equations by using the classical energy method and factorization techniques of the free Schrödinger group.

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.