3 papers
math.AP2026
Function spaces for decoupling
Andrew Hassell, Pierre Portal, Jan Rozendaal +1
We introduce new function spaces that yield a natural reformulation of the decoupling inequalities for the sphere and the…
math.AP2026
Using wave packet decompositions to construct function spaces: a user guide
Pierre Portal
We survey the construction of a range of function spaces used in harmonic analysis of PDE, including classical results as well as recent developments. We frame these constructions…
math.AP2025
On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients
Pascal Auscher, Sylvie Monniaux, Pierre Portal
We consider existence and uniqueness issues for the initial value problem of parabolic equations on the upper half space, with initial data…