Summary: The paper deals with the initial-boundary value problem for a 1-D scalar conservation law in the case of $L^1$ initial and boundary data. The generalized solutions are constructed via semigroup theory, and a comparison principle as well as explicit (variational) representations for the solutions are obtained. Also the attainable set as $t=T$ is described for integrable boundary data considered as control. These results are applied to the concrete problem of optimal traffic flo

Scalar non-linear conservation laws with integrable boundary data

ANCONA, FABIO;MARSON, ANDREA
1999

Abstract

Summary: The paper deals with the initial-boundary value problem for a 1-D scalar conservation law in the case of $L^1$ initial and boundary data. The generalized solutions are constructed via semigroup theory, and a comparison principle as well as explicit (variational) representations for the solutions are obtained. Also the attainable set as $t=T$ is described for integrable boundary data considered as control. These results are applied to the concrete problem of optimal traffic flo
1999
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2473743
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