2 papers
math.AP2026
Semi-global solutions to the Goursat problem for second-order hyper-quasilinear hyperbolic systems with lineary dependent principal coefficients and applications to the vacuum Einstein equations
Louokdom Tamto Paul Giscard, Houpa Danga Duplex Elvis, Kouakep Tchaptchie Yannick
In this work, we significantly extend the results of D. Houpa, 2006 on the Goursat problem for second-order semi-linear hyperbolic systems to the broader framwork of second-order h…
math.AP2026
Solution of second-order hyperbolic quasilinear systems with spatio-characteristic initial data in weighted Sobolev-type spaces under finite differentiability assumptions on the data
Louokdom Tamto Paul Giscard, Duplex Elvis Houpa Danga, Kouakep Tchaptchie Yannick
The aim of this work is to establish an existence and uniqueness solution for spatiocharacteristic second-order quasilinear hyperbolic problems in Sobolev type spaces with weights…