Tremendous advances in our knowledge of the origin of Galactic cosmic-rays (CR) have been made during the last decades. In particular, shock acceleration theory and observations with X-ray and gamma-ray have confirmed that the remnants of supernova explosions do accelerate particles. But so far, no evidence supports their ability to produce particles up to the knee energy of CRs around the PeV range. Gamma-rays in the very high energy (VHE, around the TeV) and ultra-high energy (UHE, beyond 100 TeV) domains are the key observables to search for extreme Galactic accelerators.