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Paper detail

Local well-posedness for quasilinear problems: a primer

Proving local well-posedness for quasilinear problems in pde's presents a number of difficulties, some of which are universal and others of which are more problem specific. While a common standard, going back to Hadamard, has existed for a long time, there are by now both many variations and many misconceptions in the subject. The aim of these notes is to collect a number of both classical and more recent ideas in this direction, and to assemble them into a cohesive road map that can be then adapted to the reader's problem of choice.

preprint2022arXivOpen access
Mihaela IfrimDaniel Tataru
math.AP
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Mihaela IfrimDaniel Tataru

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