Weak solutions of a conservation law with memory in several space variables

被引：0
|
作者：
Rosella Sampalmieri
机构：
[1] Facoltà di Ingegneria,
[2] Dipartimento di Energetica,undefined
[3] Università degli Studi de L'Aquila,undefined
[4] I-67040 Roio Poggio - L'Aquila,undefined
[5] Italia,undefined
来源：
Nonlinear Differential Equations and Applications NoDEA | 1998年 / 5卷
关键词：
Weak Solution; Cauchy Problem; Space Variable; Uniform Boundedness; Suitable Modification;
D O I：
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摘要：
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 Kruzkov's method [8].
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页码：99 / 116
页数：17
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