00947nas a2200121   4500008004300000245005900043210005800102260002300160520056700183100002100750700001800771856003600789       2000                        en_Ud  00aStability of L^infty Solutions of Temple Class Systems0 aStability of Linfty Solutions of Temple Class Systems  bKhayyam Publishing3 a<p>Let $u_t+f(u)_x=0$ be a strictly hyperbolic, genuinely nonlinear system of conservation laws of Temple class. In this paper, a continuous semigroup of solutions is constructed on a domain of $L^\infty$ functions, with possibly unbounded variation. Trajectories depend Lipschitz continuously on the initial data, in the $L^1$ distance. Moreover, we show that a weak solution of the Cauchy problem coincides with the corresponding semigroup trajectory if and only if it satisfies an entropy condition of Oleinik type, concerning the decay of positive waves.</p>1 aBressan, Alberto1 aGoatin, Paola  uhttp://hdl.handle.net/1963/3256