Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
type: Item
instance of: scholarly article
title: Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
zbMATH Open document ID: 0733.35095
DOI: 10.1016/0022-247X(91)90017-T
author: Takayoshi Ogawa
author: Tohru Ozawa
published in: Journal of Mathematical Analysis and Applications
publication date: 1991-01-01T00:00:00Z
review text: The authors consider a mixed problem for the nonlinear Schrödinger equation. A typical behaviour for the nonlinear interaction function is a cubic growth. It is shown that, under suitable assumptions on the initial data, the problem admits at most one weak solution. The proof makes use of variants of Trudinger's inequality.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 4212644
zbMATH Keywords: uniqueness
zbMATH Keywords: cubic growth
zbMATH Keywords: Trudinger's inequality
reviewed by: Jürgen Sprekels
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4212644