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A Vector Field Method Approach to Improved Decay for Solutions to the Wave Equation on a Slowly Rotating Kerr Black Hole
Vector Field Method Approach Improved Decay for Solutions Wave Equation Kerr Black Hole
2010/12/15
We prove that sufficiently regular solutions to the wave equation gK = 0 on the exterior of a sufficiently slowly rotating Kerr black hole obey the estimates || C(t)−3
2 + on a compact r...
Energy Decay of Solutions of a Wave Equation of $p$-Laplacian Type with a Weakly Nonlinear Dissipation
Wave equation of $p$-Laplacian type Decay rate
2008/7/1
In this paper we study decay properties of the solutions to the wave equation of p-Laplacian type with a weak nonlinear dissipative.
On the Decay of Solutions for Some Nonlinear Dissipative Hyperbolic
Nonlinear hyperbolic equation Dissipative term Decay property of solutions
2007/12/11
In this paper we show the decay of solutions to theinitial-boundary value problem for some nonlinear hyperbolicequation with a nonlinear dissipative term, by using a differenceinequality.
In this paper we consider the following nonlinear Schr\"{o}dinger equation: iu_t+Δu+|u|~2u=0 in R~3×R_+,u(0)=u_0∈H~2(R~3). First we give a sufficient condition on the initial data which guarantees the...
