A Semilinear Wave Equation In One Space Variable With Weak Damping: Convergence To Equilibrium

[No abstract available]101214911502Martin, Jr., (1976) Non-Linear Operators and Differential Equations in Banach Spaces, , Interscience, New YorkLasalle, Lefschetz, (1967) Stability by Liapunov's Direct Method, , Academic Press, New YorkBall, On the asymptotic behaviour of generalized processes with applications to non-linear evolution equations (1978) J. diff. Eqns, 27, pp. 224-265Dafermos, Asymptotic behavior of solutions of evolution equations (1978) Non-Linear Evolution Equations, , M. Crandall, Academic Press, New YorkWeinberger, (1965) A First Course in PDE, , Blaisdell, WalthamRauch, Taylor, Penetration into shadow regions and unique continuation properties in hyperbolic mixed problems (1972) Indiana University Mathematics Journal, 22, pp. 277-286Clements, A non-linear version of the principle of limiting amplitude (1970) Indiana University Mathematics Journal, 20, pp. 341-353Sattinger, Stability of non-linear hyperbolic equations (1968) Archs ration. Mech. Analysis, 28, pp. 226-246Haraux, Non-linear evolution equations. Global behaviour of solutions (1980) Lecture Notes in Mathematics, 841. , Springer, BerlinPliss, (1966) Nonlocal Problems in the Theory of Non-Linear Oscillations, , Academic Press, New Yor