Scientists / Open questions

拉尔斯·霍尔曼德尔

Lars Hörmander

偏微分方程、微局部分析

1962 年菲尔兹奖

28 个问题

  1. Sharp LpL^p bounds for Hörmander-type oscillatory integral operators in the restriction range q>2d/(d−1)q > 2d/(d-1): the constant-coefficient model case of arbitrary signature

  2. Delineating the differential operators whose weak and strong L2L^2 extensions coincide

  3. Completing the sharp L2L^2 theory of Fourier integral operators with complex phase beyond the global injectivity hypothesis of Hörmander (1983)

  4. Quantitative refinements of Hörmander's abstract Nash–Moser implicit function theorem: explicit smallness threshold, strong convergence, and uniform constants

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