Well posedness of balance laws with boundary
نویسندگان
چکیده
منابع مشابه
On the Well Posedness of a System of Balance Laws with L
Uniqueness and continuous dependence of solutions of (2) can thus be derived from the well-posedness of the Cauchy problem for (3). We remark that the genuine nonlinearity of (1) implies that the total variation of u(t0, ·) is locally bounded, for each t0 > 0. Hence the well posedness of the Cauchy problem (3) with initial data x(t0) = x0 follows from [2]. It is worth noting that in [3] the wel...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2005
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.03.008