Nonlinear Hyperbolic Problems pp 147-154 | Cite as

# High order regularity for solutions of the inviscid burgers equation

Hyperbolic P.D.E. Theory

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## Abstract

We discuss a recent Besov space regularity theory for discontinuous, entropy solutions of quasilinear, scalar hyperbolic conservation laws in one space dimension. This theory is very closely related to rates of approximation in *L*^{1} by moving grid, finite element methods. In addition, we establish the Besov space regularity of solutions of the inviscid Burgers equation; the new aspect of this study is that no assumption is made about the local variation of the initial data.

## Keywords

Besov Space Algebraic Curf Entropy Solution Piecewise Polynomial Springer Lecture Note
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© Springer-Verlag 1989