In this paper we establish the existence and uniqueness of the weak solution of a Cauchy problem associated to a conservation law in several space variables, whose non-homogeneous term is a "memory" term. The existence is obtained, in a particular case, by proving the uniform boundedness of the approximating solutions in the BV - norm, and then applying the relative compacteness framework, in the general case, in the L1 framework. The uniqueness is obtained by means of a suitable modification of Kružkov's method [8].
Titolo: | Weak Solutions of a conservation law with memory in several space variables |
Autori: | SAMPALMIERI, ROSELLA COLOMBA (Corresponding) |
Data di pubblicazione: | 1998 |
Rivista: | |
Handle: | http://hdl.handle.net/11697/7083 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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