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Qual Real Analysis

References

• Harvard course notes 2021: https://people.math.harvard.edu/~ctm/home/text/class/harvard/114/14/html/home/course/course.pdf
  • Problems and solutions: Harvard Real Analysis HW and Solutions

Topics

Spectral theory of self-adjoint operators, evolution equations and the theorem of Hille-Yosida, distributions, Sobolev spaces and elliptic boundary value problems, calculus of variations with applications to non-linear PDE.