The initial-boundary value problem for a general balance law in a bounded domain is proved to be well posed. Indeed, we show the existence of an entropy solution, its uniqueness and its Lipschitz continuity as a function of time, of the initial datum and of the boundary datum. The proof follows the general lines in [4], striving to provide a rigorous treatment and detailed references.

Rigorous estimates on balance laws in bounded domains / Colombo, Rm; Rossi, Elena. - In: ACTA MATHEMATICA SCIENTIA. - ISSN 0252-9602. - 35:4(2015), pp. 906-944. [10.1016/S0252-9602(15)30028-X]

Rigorous estimates on balance laws in bounded domains

ROSSI, ELENA
2015

Abstract

The initial-boundary value problem for a general balance law in a bounded domain is proved to be well posed. Indeed, we show the existence of an entropy solution, its uniqueness and its Lipschitz continuity as a function of time, of the initial datum and of the boundary datum. The proof follows the general lines in [4], striving to provide a rigorous treatment and detailed references.
2015
35
4
906
944
Rigorous estimates on balance laws in bounded domains / Colombo, Rm; Rossi, Elena. - In: ACTA MATHEMATICA SCIENTIA. - ISSN 0252-9602. - 35:4(2015), pp. 906-944. [10.1016/S0252-9602(15)30028-X]
Colombo, Rm; Rossi, Elena
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1226941
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