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Definitions of solutions to the IBVP for multi-dimensional scalar balance laws
- Source :
- Journal of Hyperbolic Differential Equations. 15:349-374
- Publication Year :
- 2018
- Publisher :
- World Scientific Pub Co Pte Lt, 2018.
-
Abstract
- 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.
Details
- ISSN :
- 17936993 and 02198916
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Journal of Hyperbolic Differential Equations
- Accession number :
- edsair.doi.dedup.....06d150eae2a4366b2c3ac3f030f1a795