Scientists / Open questions
Lars Hörmander
Partial differential equations; microlocal analysis
1962 Fields Medal
28 questions
Sharp bounds for Hörmander-type oscillatory integral operators in the restriction range : the constant-coefficient model case of arbitrary signature
Delineating the differential operators whose weak and strong extensions coincide
Completing the sharp theory of Fourier integral operators with complex phase beyond the global injectivity hypothesis of Hörmander (1983)
Quantitative refinements of Hörmander's abstract Nash–Moser implicit function theorem: explicit smallness threshold, strong convergence, and uniform constants