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Piecewise regular solutions to scalar balance laws with singular nonlocal sources
- Source :
- J. Differential Equations 409 (2024), 181--222
- Publication Year :
- 2024
-
Abstract
- The present paper establishes a local well-posed result for piecewise regular solutions with single shock of scalar balance laws with singular integral of convolution type kernels. In a neighborhood of the shock curve, a detailed description of the solution is provided for a general class of initial data.
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Differential Equations 409 (2024), 181--222
- Publication Type :
- Report
- Accession number :
- edsarx.2409.01703
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jde.2024.07.004