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A discrete phenomenon in the C∞ and analytic regularity of the blow-up curve of solutions to the Liouville equation in one space dimension

par Godin, Paul
Référence Journal of differential equations, 183, 1, page (224-238)
Publication Publié, 2002-07

Article révisé par les pairs

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Résumé :

We give a complete discussion of the C∞ or analytic regularity of blow-up curves for Cauchy problems or some mixed problems for the Liouville equation in one space dimension. In the case of mixed problems, the regularity results depend on the boundary condition: actually, we show the existence of a sequence of boundary conditions for which the regularity of the blow-up curve is better than in the general case. © 2002 Elsevier Science (USA).