$L^2$ well-posedness of boundary value problems for parabolic systems
with measurable coefficients
$L^2$ well-posedness of boundary value problems for parabolic systems
with measurable coefficients
We prove the first positive results concerning boundary value problems in the upper half-space of second order parabolic systems only assuming measurability and some transversal regularity in the coefficients of the elliptic part. To do so, we introduce and develop a first order strategy by means of a parabolic Dirac …