22 citations · 49 across the 5 of their papers we have counts for
6 papers
Stability of complement value problems for -Lévy operators
Guy Foghem
We set up a general framework tailor-made to solve complement value problems governed by symmetric nonlinear integrodifferential -Lévy operators. A prototypical example of integ…
A general framework for nonlocal Neumann problems
Guy Foghem, Moritz Kassmann
Within the framework of Hilbert spaces, we solve nonlocal problems in bounded domains with prescribed conditions on the complement of the domain. Our main focus is on the inhomogen…
Nonlocal Gagliardo-Nirenberg-Sobolev type inequality
Guy Foghem
We establish Gagliardo-Nirenberg-Sobolev type inequalities on nonlocal Sobolev spaces driven by -Lévy integrable kernels, by imposing some appropriate growth conditions on the a…
Nonlocal complement value problem for a global in time parabolic equation
Jean-Daniel Djida, Guy F. Foghem Gounoue, Yannick Kouakep Tchaptchie
The overreaching goal of this paper is to investigate the existence and uniqueness of weak solution of a semilinear parabolic equation with double nonlocality in space and in time…
A Remake of Bourgain-Brezis-Mironescu Characterization of Sobolev Spaces
Guy Fabrice Foghem Gounoue
We introduce a large class of concentrated -Lévy integrable functions approximating the unity, which serves as the core tool from which we provide a nonlocal characterization of…
Mosco convergence of nonlocal to local quadratic forms
Guy Fabrice Foghem Gounoue, Moritz Kassmann, Paul Voigt
We study sequences of nonlocal quadratic forms and function spaces that are related to Markov jump processes in bounded domains with a Lipschitz boundary. Our aim is to show the co…