Fourier Multipliers, Pseudodifferential Operators, and Fourier Integral Operators in PDE.
Fourier Multipliers, Pseudodifferential Operators, and Fourier Integral Operators in PDE.
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John Anderson, Princeton University
There are several problems in PDE where tools from harmonic听听
analysis are extremely useful.听 In increasing generality, the concepts听听
of Fourier multipliers, pseudodifferential operators, and Fourier听听
integral operators have all found uses in PDE.听 The goal of the talk听听
will be to motivate the study of these tools using examples from PDE,听听
and to then prove some basic results to give an idea of how they work.