椭圆型双曲Davey-Stewartson系统的解析平滑效应及全局存在性

International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367) Pub Date : 1900-01-01 DOI:10.1109/DD.1999.816184

N. Hayashi, H. Uchida, P. Naumkin

{"title":"椭圆型双曲Davey-Stewartson系统的解析平滑效应及全局存在性","authors":"N. Hayashi, H. Uchida, P. Naumkin","doi":"10.1109/DD.1999.816184","DOIUrl":null,"url":null,"abstract":"We study the elliptic-hyperbolic Davey-Stewartson equation which is considered as a nonlocal nonlinear Schrodinger equation with nonlinearities involving derivatives of unknown function in two space dimensions. We show that solutions become analytic for any t/spl ne/0 with respect to x if the data are small and decay exponentially when |x|/spl rarr//spl infin/.","PeriodicalId":275823,"journal":{"name":"International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367)","volume":"123 1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system\",\"authors\":\"N. Hayashi, H. Uchida, P. Naumkin\",\"doi\":\"10.1109/DD.1999.816184\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the elliptic-hyperbolic Davey-Stewartson equation which is considered as a nonlocal nonlinear Schrodinger equation with nonlinearities involving derivatives of unknown function in two space dimensions. We show that solutions become analytic for any t/spl ne/0 with respect to x if the data are small and decay exponentially when |x|/spl rarr//spl infin/.\",\"PeriodicalId\":275823,\"journal\":{\"name\":\"International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367)\",\"volume\":\"123 1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD.1999.816184\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.1999.816184","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了椭圆-双曲型Davey-Stewartson方程，该方程被认为是二维空间中非线性的包含未知函数导数的非局部非线性薛定谔方程。我们证明了对于任意t/spl ne/0关于x的解是解析的，如果数据很小，并且当|x|/spl rarr//spl infin/时呈指数衰减。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system

We study the elliptic-hyperbolic Davey-Stewartson equation which is considered as a nonlocal nonlinear Schrodinger equation with nonlinearities involving derivatives of unknown function in two space dimensions. We show that solutions become analytic for any t/spl ne/0 with respect to x if the data are small and decay exponentially when |x|/spl rarr//spl infin/.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

$International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367)$

International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367)

自引率

0.00%

发文量