Translator Disclaimer
December 2015 The Equivalence Theorem of Kinetic Solutions and Entropy Solutions for Stochastic Scalar Conservation Laws
Dai NOBORIGUCHI
Tokyo J. Math. 38(2): 575-587 (December 2015). DOI: 10.3836/tjm/1452806058

Abstract

In this paper, we prove the equivalence of kinetic solutions and entropy solutions for the initial-boundary value problem with a non-homogeneous boundary condition for a multi-dimensional scalar first-order conservation law with a multiplicative noise. We somewhat generalized the definitions of kinetic solutions and of entropy solutions given in Kobayasi and Noboriguchi [8] and Bauzet, Vallet and Wittobolt [1], respectively.

Citation

Download Citation

Dai NOBORIGUCHI. "The Equivalence Theorem of Kinetic Solutions and Entropy Solutions for Stochastic Scalar Conservation Laws." Tokyo J. Math. 38 (2) 575 - 587, December 2015. https://doi.org/10.3836/tjm/1452806058

Information

Published: December 2015
First available in Project Euclid: 14 January 2016

zbMATH: 1383.35252
MathSciNet: MR3448875
Digital Object Identifier: 10.3836/tjm/1452806058

Subjects:
Primary: 35L04
Secondary: 60H15

Rights: Copyright © 2015 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
13 PAGES


SHARE
Vol.38 • No. 2 • December 2015
Back to Top