93 citations
- Sony Computer Science LaboratoriesJP10 papers
- Xidian UniversityCN10 papers
- Chuo UniversityJP7 papers
- Tokyo Institute of TechnologyJP7 papers
- Tohoku UniversityJP6 papers
- The University of TokyoJP5 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Hokkaido UniversityJP3 papers
- Lishui UniversityCN3 papers
- Aalto UniversityFI2 papers
- Advanced Institute of Materials ScienceJP2 papers
- Instituto Nacional de Pesquisas EspaciaisBR2 papers
Showing 2011 · math.APShow all
2 papers · 2 filters
math.AP2011★ 11 cited
The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions
Yuki Kurokawa, Hiroyuki Takamura, Kyouhei Wakasa
In this paper we prove the blow-up theorem in the critical case for weakly coupled systems of semilinear wave equations in high dimensions. The upper bound of the lifespan of the s…
math.AP2011★ 5 cited
The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions
Hiroyuki Takamura, Kyouhei Wakasa
The final open part of Strauss' conjecture on semilinear wave equations was the blow-up theorem for the critical case in high dimensions. This problem was solved by Yordanov and Zh…