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...
Main Author: | Svetlin Georgiev |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Szeged
2007-07-01
|
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 |
Similar Items
-
On the uniformly continuity of the solution map for two dimensional wave maps
by: Svetlin Georgiev, et al.
Published: (2003-10-01) -
Using reissner-nordstrom solution for modeling epileptic seizures
by: Ismail, Noraini
Published: (2013) -
Using reissner-nordstrom solution for modeling epileptic seizures /
by: Noraini Ismail, 1963-, et al.
Published: (2013) -
Quantum atmosphere of Reissner-Nordström black holes
by: Yen Chin Ong, et al.
Published: (2020-08-01) -
The Unruh Vacuum and the “In-Vacuum” in Reissner-Nordström Spacetime
by: Roberto Balbinot, et al.
Published: (2023-12-01)