$L^{1}$ contractive solutions for a scalar conservation law with a discontinuous flux function

Hiroki Ohwa; Sho Watabe

doi:10.4171/pm/2153

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$L^{1}$ contractive solutions for a scalar conservation law with a discontinuous flux function

Hiroki Ohwa
Niigata University, Japan
Sho Watabe
Niigata University, Japan

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Abstract

We construct the $L^{1}$ contractive solutions to the Cauchy problem for a scalar conservation law with a discontinuous flux function. For this end, we give a new method for constructing the $L^{1}$ contractive solutions to the Cauchy problem for the scalar conservation law.

Cite this article

Hiroki Ohwa, Sho Watabe, $L^{1}$ contractive solutions for a scalar conservation law with a discontinuous flux function. Port. Math. (2025), published online first

DOI 10.4171/PM/2153