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Displaying similar documents to “On an initial-boundary value problem for the equation w t = w x x - x w y

On the perturbation propagation in the initial-boundary value problem for quasilinear first order equations.

Yu. G. Rykov (1993)

Publicacions Matemàtiques

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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.