4 citations · 5 across the 2 of their papers we have counts for
2 papers
math.AP2021★ 4 cited
On Métivier's Lax-Mizohata theorem and extensions to weak defects of hyperbolicity. Part two
Karim Ndoumajoud, Benjamin Texier
We continue our study of initial-value problems for fully nonlinear systems exhibiting strong or weak defects of hyperbolicity. We prove that, regardless of the initial Sobolev reg…
math.AP2020★ 1 cited
On Métivier's Lax-Mizohata theorem and extensions to weak defects of hyperbolicity. Part one
Karim Ndoumajoud, Benjamin Texier
We prove that, for first-order, fully nonlinear systems of partial differential equations, under an hypothesis of ellipticity for the principal symbol, the Cauchy problem has no so…