Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms
Aassila, Mohammed
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 223-226 / Harvested from Czech Digital Mathematics Library

In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.

Publié le : 1999-01-01
Classification:  35B40,  35L70
@article{119078,
     author = {Mohammed Aassila},
     title = {Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {223-226},
     zbl = {0977.35025},
     mrnumber = {1732643},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119078}
}
Aassila, Mohammed. Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 223-226. http://gdmltest.u-ga.fr/item/119078/

Hosoya M.; Yamada Y. On some nonlinear wave equations 1: local existence and regularity of solutions, J. Fac. Sci .Univ. Tokyo Sect.IA, Math. 38 (1991), 225-238. (1991) | MR 1127081

Hosoya M.; Yamada Y. On some nonlinear wave equations 2: global existence and energy decay of solutions, J. Fac. Sci. Univ. Tokyo Sect.IA, Math. 38 (1991), 239-250. (1991) | MR 1127082

Ikehata R. A note on the global solvability of solutions to some nonlinear wave equations with dissipative terms, Differential and Integral Equations 8(3) (1995), 607-616. (1995) | MR 1306578 | Zbl 0812.35081

Komornik V. Exact Controllability and Stabilization. The Multiplier Method, Masson-John Wiley, Paris, 1994. | MR 1359765 | Zbl 0937.93003

Lions J.L. Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, Dunod, Paris, 1969. | MR 0259693 | Zbl 0248.35001

Payne L.E.; Sattinger D.H. Saddle points and unstability of nonlinear hyperbolic equations, Israel J. Math. 22 (1975), 273-303. (1975) | MR 0402291

Sattinger D.H. On global solution of nonlinear hyperbolic equations, Arch. Rational Mech. Anal. 30 (1968), 148-172. (1968) | MR 0227616 | Zbl 0159.39102

Tsutsumi M. On solutions of semilinear differential equations in a Hilbert space, Math. Japon. 17 (1972), 173-193. (1972) | MR 0355247 | Zbl 0273.34044