Author

Gael Y. Diebou

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Preprint Oct 2026

Optimal global well-posedness for semilinear heat equations

We address the question of global in time existence for the semilinear parabolic equation \begin{equation*} \left\{ \begin{array}{rcl} \partial_t u-\Delta u&=&|u|^{b-1}u \quad {\rm ~in~} \mathbb{R}^n\times (0,\infty),\\ u(\cdot,0)&=&u_0 \quad {\rm ~in~} \mathbb{R}^n, \end{array} \right. \end{equation*} where $b>1+2/n,...

Gael Y. Diebou, Phuc Cong Nguyen · 0 citations

Preprint Oct 2026

Global dynamics for the 1d quartic Klein-Gordon equation with an internal mode

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 linearized operator has a single discrete eigenvalue below the continuous spectrum, corresponding to an''internal mode''. This eigenvalue generate...

Chen Gong, Gael Y. Diebou, Adilbek Kairzhan et al. · 0 citations