A particle limit for the wave equation with a variable wave speed
โ Scribed by George A. Hagedorn
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 451 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We consider the Cauchy problem for the weakly dissipative wave equation โก__v__+__ฮผ__/1+__t__ __v__~__t__~=0, __x__โโ^__n__^, __t__โฅ0 parameterized by ฮผ>0, and prove a representation theorem for its solutions using the theory of special functions. This representation is used to obtain _
## Abstract We study the electromagnetic wave equation and the perturbed massless Dirac equation on โ~__t__~ ร โ^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
A damped semilinear hyperbolic equation on 1 with linear memory is considered in a history space setting. Viewing the past history of the displacement as a variable of the system, it is possible to express the solution in terms of a strongly continuous process of continuous operators on a suitable H