## 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
Uniform decay estimates and the lorentz invariance of the classical wave equation
β Scribed by Sergiu Klainerman
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 410 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
We study the asymptotic behavior of solutions of dissipative wave equations with space-time-dependent potential. When the potential is only time-dependent, Fourier analysis is a useful tool to derive sharp decay estimates for solutions. When the potential is only space-dependent, a powerful techniqu
## Abstract In this paper, we study decay properties of solutions to the wave equation of pβLaplacian type with a weak dissipation of mβLaplacian type. Copyright Β© 2006 John Wiley & Sons, Ltd.
## Abstract This paper is concerned with some uniform energy decay estimates of solutions to the linear wave equations with strong dissipation in the exterior domain case. We shall derive the decay rate such as $(1+t)E(t)\le C$\nopagenumbers\end for some kinds of weighted initial data, where __E__(