Partial Differential Equations

I include here a few papers that have to do exclusively with Partial Differential Equations and their connections with other theoretical mathematical aspects. Papers that contain explicit  applications to Numerical Methods, Quantum Mechanics, or Financial Mathematics are included on dedicated pages.

  1. Polynomial bounds for the solutions of parametric transmission problems on smooth, bounded domains, Simon Labrunie, Hassan Mohsen, and Victor Nistor, ESAIM, Math. Model. Numer. Anal. 59, No. 1, 137–166 (2025; Zbl 07971364)
  2. The Stokes operator on manifolds with cylindrical ends, Mirela Kohr, Victor Nistor, and Wolfgang Wendland, J. Differ. Equations 407, 345–373 (2024; Zbl 1547.35708, pdf)
  3. Analysis on noncompact manifolds and Index Theory: Fredholm conditions and Pseudodifferential operators, Ivan Beschastnyi, Catarina Carvalho, Victor Nistor, and Yu Qiao,
  4. Layer potentials and essentially translation invariant pseudodifferential operators on manifolds with cylindrical ends, Mirela Kohr, Victor Nistor, and Wolfgang WendlandPostpandemic Operator Theory, Conference Proceedings of the 28th Conference in Operator Theory, Timișoara, 2022, Theta Series in Advanced Mathematics, D. Gașpar, W.T. Ross, D. Timotin, F-H. Vasilescu eds,  61–116, 2024.
  5. The $L^2$-unique continuation property on manifolds with bounded geometry and the deformation operator, Nadine Grosse, Mirela Kohr, and Victor Nistor, Forum Math., 2025.