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Régularité analytique des chocs uniformément stables à données analytiques. (Analytic regularity of uniformly stable shock fronts with analytic data). (French) Zbl 0603.35064
Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1986, Conf. No.2, 7 p. (1986).
This paper is basically an announcement, with ideas of proofs, of a future article by the same writer. It is concerned with weak solutions to a conservation law in a subset of ${\bbfR}\sp n$. Basically, it is indicated that if the data are analytic in the neighbourhood of a discontinuity, then the solution may be uniquely continued analytically, and the solution is, in a sense, uniformly stable.
Reviewer: B.Straugham
35L67Shocks and singularities
35L65Conservation laws
35B65Smoothness and regularity of solutions of PDE
35B60Continuation of solutions of PDE
Full Text: Numdam EuDML