Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity
Eduard Feireisl · Applications of Mathematics · 1990
A parabolic system arisng as a viscosity regularization of the quasilinear one-dimensional telegraph equation is considered. The existence of $L \infty$ - a priori estimates, independent of viscosity, is shown. The results are achieved by means of generalized invariant regions.