Nonlinear Hyperbolic Problems pp 147-154
High order regularity for solutions of the inviscid burgers equation
- Cite this paper as:
- DeVore R.A., Lucier B.J. (1989) High order regularity for solutions of the inviscid burgers equation. In: Carasso C., Charrier P., Hanouzet B., Joly JL. (eds) Nonlinear Hyperbolic Problems. Lecture Notes in Mathematics, vol 1402. Springer, Berlin, Heidelberg
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 L1 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.
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