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Travelling graphs for the forced mean curvature motion in an arbitrary space dimension
forced mean curvature movement eikonal equation Hamilton-Jacobi equations viscosity solution
2011/8/25
Abstract: We construct travelling wave graphs of the form $z=-ct+\phi(x)$, $\phi: x \in \mathbb{R}^{N-1} \mapsto \phi(x)\in \mathbb{R}$, $N \geq 2$, solutions to the $N$-dimensional forced mean curvat...
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...
Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?
Pauli graphs Hilbert space dimension
2010/12/9
We study the commutation relations within the Pauli groups built on all decompositions of a given Hilbert space dimension q, containing a square, into its factors.
Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?
Pauli graphs Hilbert space dimension Dedekind psi function
2010/10/27
We study the commutation relations within the Pauli groups built on all decompositions of a given Hilbert space dimension q, containing a square, into its factors.
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...