Journal article
The initial–boundary value problem for general non-local scalar conservation laws in one space dimension
- Abstract:
- We prove a global well-posedness result for a class of weak entropy solutions of bounded variation (BV) of scalar conservation laws with non-local flux on bounded domains, under suitable regularity assumptions on the flux function. In particular, existence is obtained by proving the convergence of an adapted Lax–Friedrichs algorithm. Lipschitz continuous dependence from initial and boundary data is derived applying Kružhkov’s doubling of variable technique.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 929.9KB, Terms of use)
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- Publisher copy:
- 10.1016/j.na.2017.05.017
Authors
- Publisher:
- Elsevier
- Journal:
- Nonlinear Analysis: Theory, Methods & Applications More from this journal
- Volume:
- 161
- Pages:
- 131-156
- Publication date:
- 2017-06-23
- Acceptance date:
- 2017-05-31
- DOI:
- ISSN:
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0362-546X
- Language:
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English
- Keywords:
- Pubs id:
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pubs:1005189
- UUID:
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uuid:d3fb02be-dea4-4a58-8dcb-43caeaa10914
- Local pid:
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pubs:1005189
- Source identifiers:
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1005189
- Deposit date:
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2019-06-03
Terms of use
- Copyright holder:
- Elsevier Ltd
- Copyright date:
- 2017
- Notes:
- © 2017 Elsevier Ltd. All rights reserved. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: 10.1016/j.na.2017.05.017
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