๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A particle limit for the wave equation with a variable wave speed

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


On the wave equation with a magnetic pot
โœ Scipio Cuccagna; Pedro Paulo Schirmer ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 117 KB ๐Ÿ‘ 3 views
Solution representations for a wave equa
โœ Jens Wirth ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 187 KB

## Abstract We consider the Cauchy problem for the weakly dissipative wave equation โ–ก__v__+__ฮผ__/1+__t__ __v__~__t__~=0, __x__โˆˆโ„^__n__^, __t__โ‰ฅ0 parameterized by ฮผ>0, and prove a representation theorem for its solutions using the theory of special functions. This representation is used to obtain _

Decay estimates for the wave and Dirac e
โœ Piero D'Ancona; Luca Fanelli ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 260 KB ๐Ÿ‘ 2 views

## 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

Attractors for a damped wave equation on
โœ Vittorino Pata ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 164 KB ๐Ÿ‘ 1 views

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