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On the Cauchy Problem For The Nonlinear Heat Equation.

Authors :
Nikolova, Elena
Tarulli, Mirko
Venkov, George
Source :
AIP Conference Proceedings. 2019, Vol. 2159 Issue 1, p030025-1-030025-10. 10p.
Publication Year :
2019

Abstract

We prove unconditional well-posedness in the energy space for the solution to the heat equation with pure power mass-energy intercritical nonlinearity, both in focusing and defocusing cases. The main tools used are new nonlinear extended Strichartz estimates. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
2159
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
138967204
Full Text :
https://doi.org/10.1063/1.5127490