Definitions of solutions to the IBVP for multi-dimensional scalar balance laws
2018 ◽
Vol 15
(02)
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pp. 349-374
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Keyword(s):
We consider four definitions of solution to the initial-boundary value problem (IBVP) for a scalar balance laws in several space dimensions. These definitions are extended to the same most general framework and then compared. The first aim of this paper is to detail differences and analogies among them. We focus then on the ways the boundary conditions are fulfilled according to each definition, providing also connections among these various modes. The main result is the proof of the equivalence among the presented definitions of solution.
2020 ◽
pp. 547-558
2012 ◽
Vol 36
(8)
◽
pp. 3411-3418
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2013 ◽
Vol 28
(22n23)
◽
pp. 1340015
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1982 ◽
Vol 24
(2)
◽
pp. 203-222
2010 ◽
Vol 07
(03)
◽
pp. 503-543
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