On a generalized nonlinear equation of Schrödinger type.

Xueshang Feng

doi:10.36045/bbms/1103408721

On a generalized nonlinear equation of Schrödinger type.

Xueshang Feng^*

^*Corresponding author for this work

Chinese Academy of Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Here is established the global existence of smooth solutions to a generalized nonlinear equation of Schrödinger type in the usual Sobolev spaces H^s and certain weighted Sobolev spaces by using Leray-Schauder fixed point theorem and delicate a priori estimates.

Original language	English
Pages (from-to)	279-297
Number of pages	19
Journal	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume	2
Issue number	3
DOIs	https://doi.org/10.36045/bbms/1103408721
State	Published - 1995
Externally published	Yes

Keywords

Convergence of solutions
Generalized Schrödinger type equation
Global existence
Initial value problem

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10.36045/bbms/1103408721

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title = "On a generalized nonlinear equation of Schr{\"o}dinger type.",

abstract = "Here is established the global existence of smooth solutions to a generalized nonlinear equation of Schr{\"o}dinger type in the usual Sobolev spaces Hs and certain weighted Sobolev spaces by using Leray-Schauder fixed point theorem and delicate a priori estimates.",

keywords = "Convergence of solutions, Generalized Schr{\"o}dinger type equation, Global existence, Initial value problem",

author = "Xueshang Feng",

year = "1995",

doi = "10.36045/bbms/1103408721",

language = "英语",

volume = "2",

pages = "279--297",

journal = "Bulletin of the Belgian Mathematical Society - Simon Stevin",

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T1 - On a generalized nonlinear equation of Schrödinger type.

AU - Feng, Xueshang

PY - 1995

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N2 - Here is established the global existence of smooth solutions to a generalized nonlinear equation of Schrödinger type in the usual Sobolev spaces Hs and certain weighted Sobolev spaces by using Leray-Schauder fixed point theorem and delicate a priori estimates.

AB - Here is established the global existence of smooth solutions to a generalized nonlinear equation of Schrödinger type in the usual Sobolev spaces Hs and certain weighted Sobolev spaces by using Leray-Schauder fixed point theorem and delicate a priori estimates.

KW - Convergence of solutions

KW - Generalized Schrödinger type equation

KW - Global existence

KW - Initial value problem

UR - https://www.scopus.com/pages/publications/84972520509

U2 - 10.36045/bbms/1103408721

DO - 10.36045/bbms/1103408721

M3 - 文章

AN - SCOPUS:84972520509

SN - 1370-1444

VL - 2

SP - 279

EP - 297

JO - Bulletin of the Belgian Mathematical Society - Simon Stevin

JF - Bulletin of the Belgian Mathematical Society - Simon Stevin

IS - 3

ER -

On a generalized nonlinear equation of Schrödinger type.

Abstract

Keywords

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