Research in PDEs and Related Fields

Sobolev Spaces and Elliptic Boundary Values Problems (Cherif Amrouche).- Survey on the decay of the local energy for the solutions of the nonlinear wave equations (Ahmed Bchatnia).- A spectral numerical method to approximate the boundary controllability of the wave equation with variable coefficients (Carlos Castro).- Aggregation equation and collapse to singular measure (Taoufik Hmidi, Dong Li).- Geometric Control of Eigenfunctions of Schrodinger Operators (Fabricio Macia).- Stability of a graph of strings with local Kelvin-Voigt damping (Kais Ammari, Zhuangyi Liu, Farhat Shel).

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• Cálculo diferencial e equações
• Cibernética e teoria dos sistemas

Inverse problems PDEs;Partial differential equations inverse problems;Time-dependent Schroedinger equations;Eigenfunctions of Schroedinger equations;Degenerate parabolic equations;PDEs on graphs and networks;Sobolev spaces;Elliptic boundary value problems;Nonlinear wave equation;Aggregation equation;Local Kelvin-Voigt damping