Uniform continuity of the solution map for nonlinear wave equation in Reissner-Nordstrom metric
In this paper we study the properties of the solutions to the Cauchy problem $$ (u_{tt}-\Delta u)_{g_s}=f(u)+g(|x|),\quad t\in [0, 1], x\in {\cal R}^3, \tag{1} $$ $$ u(1, x)=u_0\in {\dot H}^1({\cal R}^3),\quad u_t(1, x)=u_1\in L^2({\cal R}^3), \tag{2} $$ where $g_s$ is the Reissner-Nordström metric...
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| Format: | Article |
| Language: | English |
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University of Szeged
2007-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=271 |