Well-posedness of general boundary-value problems for scalar conservation laws
نویسندگان
چکیده
منابع مشابه
Well-posedness of general boundary-value problems for scalar conservation laws
In this paper we investigate well-posedness for the problem ut + divφ(u) = f on (0, T )×Ω, Ω ⊂ R , with initial condition u(0, ·) = u0 on Ω and with general dissipative boundary conditions φ(u) · ν ∈ β(t,x)(u) on (0, T )×∂Ω. Here for a.e. (t, x) ∈ (0, T )×∂Ω, β(t,x)(·) is a maximal monotone graph on R. This includes, as particular cases, Dirichlet, Neumann, Robin, obstacle boundary conditions a...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2015
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2015-05988-1