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This content will become publicly available on March 1, 2026

Title: Intermediate domains for scalar conservation laws
For a scalar conservation law with strictly convex flux, by Oleinik’s estimates the total variation of a solution with bounded measurable initial data decays like 1/t. This paper introduces a class of intermediate domains where a faster decay rate is achieved. A key ingredient of the analysis is a “Fourier-type” decomposition of u into components which oscillate more and more rapidly. The results aim at extending the theory of fractional domains for analytic semigroups to an entirely nonlinear setting.  more » « less
Award ID(s):
2306926
PAR ID:
10588679
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
Elsevier
Date Published:
Journal Name:
Journal of Differential Equations
Volume:
422
Issue:
C
ISSN:
0022-0396
Page Range / eLocation ID:
215 to 250
Subject(s) / Keyword(s):
Conservation law, total variation decay, intermediate domain
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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