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math.AP2026
Global dynamics for the 1d quartic Klein-Gordon equation with an internal mode
Gong Chen, Gael Y. Diebou, Adilbek Kairzhan +1
We study a one dimensional nonlinear Klein-Gordon equation with a potential, a localized quadratic nonlinearity, and a non-localized quartic nonlinearity. We assume that the linear…
math.AP2024
Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space
Andrea Cianchi, Gael Y. Diebou, Lenka Slavíková
Existence and global regularity results for boundary-value problems of Robin type for harmonic and polyharmonic functions in -dimensional half-spaces are offered. The Robin cond…
math.AP2022
Existence and regularity of steady-state solutions of the Navier-Stokes equations arising from irregular data
Gael Y. Diebou
We analyze the forced incompressible stationary Navier-Stokes flow in , . Existence of a unique solution satisfying a global integrabilty property measured in…