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Applicable Analysis
An International Journal
Volume 24, 1987 - Issue 1-2
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Original Articles

Initial-boundary value problems for some nonlinear conservation laws

K. Kuttler Michigan Technological University, Houghton, Michigan, U.S.A
&
D. Hicks Michigan Technological University, Houghton, Michigan, U.S.A
Pages 1-12 | Received 21 Apr 1986, Published online: 02 May 2007
 
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Abstract

We prove existence and uniqueness of a global weak solution to initial-boundary value problems with time dependent conditions to the equation

under the assumption that P is Lipschitz continuous and α is positive, bounded, and measurable.

AMS (MOS):

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