SHADE is now live. For the next three years, it will address central open problems at the interface of harmonic analysis, dispersive and elliptic PDE, from sharp restriction theory, constructive stability and sharp regularity thresholds to blowup and singular analysis. The team consists of seven researchers who will be joined by two postdocs, three students and twelve international consultants.

• Diogo Oliveira e Silva (IST)
• Simão Correia (IST)
• Hugo Tavares (IST)
• João Pedro Ramos (IMPA)
• Giuseppe Negro (IST)
• Delia Schiera (IST)
• Jorge Drumond Silva (IST)

Publications

• S. Mauro, D. Schiera, H. Tavares, "Least energy solutions for cooperative and competitive systems with Neumann boundary conditions". J. Differential Equations, 459 (2026), 114135.

Preprints

• K. Böröczky, J. M. Machado, J. P. Ramos, "Quantitative Stability for Minkowski's problem". Preprint at arXiv:2603.17726.
• M. Clapp, A. Saldaña, D. Schiera, "Sublinear elliptic equations with a sharp change of sign in the nonlinearity". Preprint at arXiv:2603.11766.
• A. Chapouto, S. Correia, J. P. Ramos, "Gauge transform for the Korteweg-de Vries equation and well-posedness below the H^{−1}-scale". Preprint at arXiv:2601.15060.
• M. Alexis, L. Becker, D. Oliveira e Silva, C. Thiele, "An SU(2n)-valued nonlinear Fourier transform". Preprint at arXiv:2601.03987.