Blow up of solutions for Klein-Gordon equations in the Reissner-Nordstrom metric
In this paper, we study the solutions to the Cauchy problem $$displaylines{ (u_{tt}-Delta u)_{g_s}+m^2u=f(u),quad tin (0, 1], xin mathbb{R}^3,cr u(1, x)=u_0in {dot B}^{gamma}_{p, p}(mathbb{R}^3),quad u_t(1, x)=u_1in {dot B}^{gamma-1}_{p, p}(mathbb{R}^3), }$$ where $g_s$ is the Reissner-Nordstrom m...
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| Format: | Article |
| Language: | English |
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Texas State University
2005-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/67/abstr.html |