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On the Extended Strichartz Estimates for the Nonlinear Heat Equation.

Authors :
Nikolova, Elena
Tarulli, Mirko
Venkov, George
Source :
AIP Conference Proceedings. 2019, Vol. 2172 Issue 1, p030015-1-030015-11. 11p. 4 Graphs.
Publication Year :
2019

Abstract

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*NONLINEAR equations
*ESTIMATES

Details

Language :
English
ISSN :
0094243X
Volume :
2172
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
139667707
Full Text :
https://doi.org/10.1063/1.5133504