Nonlinear Goursat problem with irregular data

Silvere Nuiro (1) , Jean-André Marti , Vincent Valmorin

1 Analyse

With the help of differential algebras of(C,Ep)-type, we construct an algebra of generalized functions which allows us to solve a Gourmet problem with irregular data. For this problem, we perform a qualitative study when the data are Dirac functions.

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

Silvere Nuiro, Jean-André Marti, Vincent Valmorin. Nonlinear Goursat problem with irregular data. Integral Transforms and Special Functions, 1998, 6 (1-4), pp.229-246. ⟨hal-01545673⟩