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Journal Articles Nonlinear Analysis: Theory, Methods and Applications Year : 2017

The initial-boundary value problem for general non-local scalar conservation laws in one space dimension

Abstract

We prove global well-posedness results for 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 continuos dependence from initial and boundary data is derived applying Kružhkov 's doubling of variable technique.
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Dates and versions

hal-01362504 , version 1 (08-09-2016)

Identifiers

  • HAL Id : hal-01362504 , version 1

Cite

Cristiana de Filippis, Paola Goatin. The initial-boundary value problem for general non-local scalar conservation laws in one space dimension. Nonlinear Analysis: Theory, Methods and Applications, 2017, 161, pp.131-156. ⟨hal-01362504⟩
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