1988 Society for Industrial and Applied Mathematics Vol. 19, No. 4, pp....  Home/Search
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Abstract: In this paper it is shown that recent approximation results for scalar conservation laws in one space dimension imply that solutions of these equations with smooth, convex fluxes have more regularity than previously believed. Regularity is measured in spaces determined by quasinorms related to the solution's approximation properties in L (R) by discontinuous, piecewise linear functions. Using a previous characterization of these approximation spaces in terms of Besov spaces, it is shown that ... (Update)
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BibTeX entry: (Update)
@misc{ industrial-siam,
author = "Society For Industrial",
title = "SIAM J. MATH. ANAL. c",
url = "citeseer.ist.psu.edu/745659.html" }
Citations (may not include all citations):509 Sobolev Spaces (context) - Adams - 1975
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73 Interpolation of Besov spaces (context) - DeVore, Popov - 1988
51 Two approximations of solutions of Hamilton-Jacobi equations (context) - Crandall, Lions - 1984
38 First order quasilinear equations in several independent var.. (context) - zkov - 1970
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10 Admissible solutions of hyperbolic conservation laws (context) - Liu - 1981
10 Discontinuous solutions of non-linear di#erential equations (context) - Oleinik - 1957
3 A regularity result for viscosity solutions of Hamilton-Jaco.. (context) - Jensen, Souganidis - 1986
2 Solving a single conservation law (context) - Guckenheimer - 1975
2 Singularities and oscillations in solutions to conservation .. (context) - DiPerna - 1984
2 Direct and converse theorems for best spline approximation w.. (context) - Petrushev - 1986
1 Solutions in the large for nonlinear hyperbolic systems of h.. (context) - Glimm - 1965
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