A Decay Estimate for a Wave Equation with Trapping and a Complex Potential
β Scribed by Andersson, L.; Blue, P.; Nicolas, J.-P.
- Book ID
- 121399215
- Publisher
- Oxford University Press
- Year
- 2012
- Tongue
- English
- Weight
- 146 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1073-7928
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We study the electromagnetic wave equation and the perturbed massless Dirac equation on β~__t__~ Γ β^3^: where the potentials __A__(__x__), __B__(__x__), and __V__(__x__) are assumed to be small but may be rough. For both equations, we prove the expected time decay rate of the solution
Estimates for a Slowly-Varying Wave Equation with a Periodic Potential\* CATHLEEN S. MORAWETZ Consider the equation for t 2 0, where P ( t ) is a smooth function of period 2 ~. I n general the solutions of the homogeneous initial value problem will grow exponentially and so too will the solutions of
We derive a fast decay estimate for the wave equation with a local degenerate dissipation of the type a(x)u t in a bounded domain β¦. The dissipative coefficient a(x) is a nonnegative function only on a neighborhood of some part of the boundary ββ¦ and may vanish somewhere in β¦. The results obtained e