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

Type: Preprint

Publication Date: 2011-01-01

Citations: 12

DOI: https://doi.org/10.48550/arxiv.1106.6221

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arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
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Works Cited by This (19)

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+ PDF Chat	A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions	1995	Tatsien Li Yi Zhou
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+	The lifespan of radially symmetric solutions to nonlinear systems of odd dimensional wave equations	2004	Yuki Kurokawa
+	Nonexistence of global solutions to semilinear wave equations in high dimensions	1984	Thomas C. Sideris
+	Critical Curve for p-q Systems of Nonlinear Wave Equations in Three Space Dimensions	2000	Rentarô Agemi Yuki Kurokawa Hiroyuki Takamura
+	Existence in the large for ?u=F(u) in two space dimensions	1981	Robert T. Glassey
+	Finite time blow up for critical wave equations in high dimensions	2005	Borislav Yordanov Qi S. Zhang
+ PDF Chat	Weighted Strichartz estimates and global existence for semilinear wave equations	1997	Vladimir Georgiev Hans Lindblad Christopher D. Sogge
+	Blow-up for solutions of □u=\|u\|<sup>p</sup>with small initial data.	1990	Hans Lindblad
+	Finite-time blow-up for solutions of nonlinear wave equations	1981	Robert T. Glassey