4 papers · 1 filter
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…
Meyers exponent rules the first-order approach to second-order elliptic boundary value problems
Pascal Auscher, Tim Böhnlein, Moritz Egert
The first-order approach to boundary value problems for second-order elliptic equations in divergence form with transversally independent complex coefficients in the upper half-spa…
On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces
Pascal Auscher, Hedong Hou
We prove well-posedness in weighted tent spaces of weak solutions to the Cauchy problem , where the source also lies in (dif…
Quadratic estimates for degenerate elliptic systems on manifolds with lower Ricci curvature bounds and boundary value problems
Pascal Auscher, Andrew J. Morris, Andreas Rosén
Weighted quadratic estimates are proved for certain bisectorial firstorder differential operators with bounded measurable coefficients which are (not necessarily pointwise) accreti…