21 citations · 23 across the 10 of their papers we have counts for
3 papers · 1 filter
On the -analogue of Duhamel's principle
Mohammed Elamine Sebih, Serikbol Shaimardan, Irfan Ali
In this paper, we revisit the classical Duhamel's principle and provide a self-contained proof of this fundamental tool for linear evolution equations and systems of coupled equati…
On a fractional nonlinear Schrödinger equation with irregular coefficients. case: d<2s
Arshyn Altyby, Michael Ruzhansky, Mohammed Elamine Sebih +1
In the case when , where is the space dimension and is the fractional power of the Laplacian, we study the well-posedness for a cubic nonlinear Schrödinger equation (…
Sign-changing solutions for a Yamabe type problem
Mohamed Bekiri, Mohammed Elamine Sebih
In this paper, we investigate the existence of sign-changing solutions to a critical elliptic equation involving a Yamabe type operator on a compact manifold with boundary. The exi…