The paper deals with initial-boundary value problem for generalized solutions of single quasilinear nonautonomous conservation law. For the case so-called "processes with aggravation" the localization property and inner boundedness are studied. Also in case when boundary function tends to zero as t ⇒ +∞ the localization effect is regarded.
@article{urn:eudml:doc:41533, title = {On the perturbation propagation in the initial-boundary value problem for quasilinear first order equations.}, journal = {Publicacions Matem\`atiques}, volume = {37}, year = {1993}, pages = {209-223}, mrnumber = {MR1240932}, zbl = {0792.35118}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41533} }
Rykov, Yu. G. On the perturbation propagation in the initial-boundary value problem for quasilinear first order equations.. Publicacions Matemàtiques, Tome 37 (1993) pp. 209-223. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41533/