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THE GRADUATE STUDENT SECTION WHATIS… Hypoellipticity? TheEditors The two top classical partial differential equations (PDEs)𝒫𝑢=𝑓areLaplace’sequation Δ𝑢∶= 𝜕2𝑢 𝜕𝑥2 𝜕2𝑢 𝜕𝑦2 =0, whichdescribes,forexample,asteady-statetemperature distribution𝑢(𝑥,𝑦),andthewaveequation
