Blar i Department of Mathematics på forfatter "Pilod, Didier Jacques Francois"

Viser treff 1-3 av 3

    • Dispersive Estimates for Full Dispersion KP Equations 

      Selberg, Sigmund; Pilod, Didier Jacques Francois; Saut, Jean-Claude; Temesgen, Achenef Tesfahun (Journal article; Peer reviewed, 2021)
      We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev–Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Kadomtsev–Petviashvili equations. The proof ...

    • Full family of flattening solitary waves for the critical generalized KdV equation 

      Martel, Yvan; Pilod, Didier Jacques Francois (Journal article; Peer reviewed, 2020)
      For the critical generalized KdV equation ∂tu+∂x(∂2xu+u5)=0 on R, we construct a full family of flattening solitary wave solutions. Let Q be the unique even positive solution of Q′′+Q5=Q. For any ν∈(0,13), there exist ...

    • On the unique continuation of solutions to non-local non-linear dispersive equations 

      Kenig, C.E.; Pilod, Didier Jacques Francois; Ponce, G.; Vega, L. (Journal article; Peer reviewed, 2020)
      We prove unique continuation properties of solutions to a large class of nonlinear, non-local dispersive equations. The goal is to show that if u1,u2 are two suitable solutions of the equation defined in Rn×[0,T] such that ...