𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The energy decay problem for hyperbolic equations of second order with dissipative terms

✍ Scribed by Hiroshi Uesaka

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
464 KB
Volume
128
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the Cauchy problem for second order s
On the Cauchy problem for second order strictly hyperbolic equations with non–regular coefficients
✍ Fumihiko Hirosawa πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 216 KB

## Abstract In this paper we shall consider some necessary and sufficient conditions for well–posedness of second order hyperbolic equations with non–regular coefficients with respect to time. We will derive some optimal regularities for well–posedness from the intensity of singularity to the coeff

Second-order terms and strain energy den
Second-order terms and strain energy density for the angled crack problem
✍ R.N.L. Smith πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 444 KB

The singular expansions for elastic stresses and displacements at a crack tip are incapable of describing some aspects of local behaviour adequately. In this paper we give the correct form of the next terms in the expansions for the angled crack problem. A formula using first and second order terms

Energy decay estimates for the dissipati
Energy decay estimates for the dissipative wave equation with space–time dependent potential
✍ Jessica S. Kenigson; Jonathan J. Kenigson πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 209 KB

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