On the Extended Strichartz Estimates for the Nonlinear Heat Equation

被引：1
作者：
Nikolova, Elena [1 ]
Tarulli, Mirko [1 ,2 ,3 ]
Venkov, George [1 ]
机构：
[1] TU Sofia, Fac Appl Math & Informat, 8 St Kliment Ohridski Blvd, Sofia 1756, Bulgaria
[2] BAS, IMI, Acad Georgi Bonchev Str,Block 8, Sofia 1113, Bulgaria
[3] Univ Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
来源：
PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'19) | 2019年 / 2172卷
关键词：
GLOBAL WELL-POSEDNESS; SCHRODINGER-EQUATION; BLOW-UP; SCATTERING; DECAY;
D O I：
10.1063/1.5133504
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We display new extended Strichartz estimates for the solutions to the heat equation with pure power mass-energy inter-critical nonlinearity. As an application, local well-posedness in some Lebesgue spaces assuming initial data with fractional Sobolev regularity.
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页数：11
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