Unconditional uniqueness of solution for critical NLS in high dimensions
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- 作者：Jing Lua ; lujing326@126.com" class="auth_mail" title="E-mail the corresponding author ; Yushun Xub ; xys_651@126.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Unconditional uniqueness ; Paraproduct estimates ; Besov spaces ; Nonlinear Schrö ; dinger equation
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2016
- 出版时间：15 April 2016
- 年：2016
- 卷：436
- 期：2
- 页码：1214-1222
- 全文大小：305 K
文摘
In this paper, we study the unconditional uniqueness of solution for the Cauchy problem of f&_user=111111111&_pii=S0022247X15010203&_rdoc=1&_issn=0022247X&md5=b084542f69183d3a577421a46f81429f">
f" data-inlimgeid="1-s2.0-S0022247X15010203-si1.gif">
(formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X15010203&_mathId=si2.gif&_user=111111111&_pii=S0022247X15010203&_rdoc=1&_issn=0022247X&md5=65edbfd337ef0e35f7a9805f195b0a78" title="Click to view the MathML source">0≤sc<1) critical nonlinear Schrödinger equations (NLS). By employing paraproduct estimates and Strichartz estimates, we prove that unconditional uniqueness of solution holds in f&_user=111111111&_pii=S0022247X15010203&_rdoc=1&_issn=0022247X&md5=1d1a400daa8a95d18f0f35e338b39d7c">f" data-inlimgeid="1-s2.0-S0022247X15010203-si3.gif">
for formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X15010203&_mathId=si4.gif&_user=111111111&_pii=S0022247X15010203&_rdoc=1&_issn=0022247X&md5=7b05f33a28f7f1a8c3e981a59eceaf70" title="Click to view the MathML source">d≥6. This extends earlier results by Yin Yin Su Win and Y. Tsutsumi [19] and Cazenave [3].
(formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X15010203&_mathId=si2.gif&_user=111111111&_pii=S0022247X15010203&_rdoc=1&_issn=0022247X&md5=65edbfd337ef0e35f7a9805f195b0a78" title="Click to view the MathML source">0≤sc<1) critical nonlinear Schrödinger equations (NLS). By employing paraproduct estimates and Strichartz estimates, we prove that unconditional uniqueness of solution holds in f&_user=111111111&_pii=S0022247X15010203&_rdoc=1&_issn=0022247X&md5=1d1a400daa8a95d18f0f35e338b39d7c"> for formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X15010203&_mathId=si4.gif&_user=111111111&_pii=S0022247X15010203&_rdoc=1&_issn=0022247X&md5=7b05f33a28f7f1a8c3e981a59eceaf70" title="Click to view the MathML source">d≥6. This extends earlier results by Yin Yin Su Win and Y. Tsutsumi [19] and Cazenave [3].