5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.AP2025
Integral formulas for under/overdetermined differential operators via recovery on curves and the finite-dimensional cokernel condition I: General theory
Philip Isett, Yuchen Mao, Sung-Jin Oh +1
We introduce a new versatile method for constructing solution operators (i.e., right-inverses up to a finite rank operator) for a wide class of underdetermined PDEs , whic…
math.AP2024★ 1 cited
On the conservation laws and the structure of the nonlinearity for SQG and its generalizations
Philip Isett, Andrew Ma
Using a new definition for the nonlinear term, we prove that all weak solutions to the SQG equation (and mSQG) conserve the angular momentum. This result is new for the weak soluti…
math.AP2014★ 5 cited
Holder Continuous Solutions of Active Scalar Equations
Philip Isett, Vlad Vicol
We consider active scalar equations , where is a divergence-free velocity field, and is a Fourier multiplier operator with s…