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Numerical Resolution near t = 0 of NonlinearEvolution Equations in the Presence of Corner Singularities in Space Dimension 1
Numerical Resolution Nonlinear Evolution Equations
2010/11/23
The incompatibilities between the initial and boundary data will cause singularities at the time-space corners, which in turn adversely affect the accuracy of the numerical schemes used to compute the...
Global Existence of Small Solutions for Cubic Quasi-linear Klein-Gordon Systems in one Space Dimension
Cubic Quasi-linear Klein--Gordon systems One space dimension Global existence Asym-ptotic behavior
2007/12/12
In this paper, we consider a system of two cubic quasi-linear Klein--Gordon equations with different masses for small, smooth, compactly supported Cauchy data in one space dimension. We show that such...