PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES

We introduce an approach to study certain singular partial differential equations (PDEs) which is based on techniques from paradifferential calculus and on ideas from the theory of controlled rough paths. We illustrate its applicability on some model problems such as differential equations driven by...

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Bibliographic Details
Main Authors: MASSIMILIANO GUBINELLI, PETER IMKELLER, NICOLAS PERKOWSKI
Format: Article
Language:English
Published: Cambridge University Press 2015-08-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508615000025/type/journal_article