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Mathematical study of dispersive PDEs [closed]

My understanding is that there have been a lot of activities in harmonic analysis and PDEs that use sophisticated tools to study dispersive PDEs like the Schrodinger's equation. E.g. the Strichartz es …
Simplyorange's user avatar
1 vote
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Pointwise convergence of Schrodinger's equation with potential term

A famous problem of Carleson asks if $f\in H^s(\mathbb{R}^n)$, under what condition of $s$ do we have almost everywhere pointwise convergence of the solution to the Schrodinger's equation $$iu_t-\Delt …
Simplyorange's user avatar