TY  - JOUR
A1  - Bär, Christian
A1  - Bandara, Lashi
T1  - Boundary value problems for general first-order elliptic differential operators
JF  - Journal of functional analysis
N2  - We study boundary value problems for first-order elliptic differential operators on manifolds with compact boundary. The adapted boundary operator need not be selfadjoint and the boundary condition need not be pseudo-local.We show the equivalence of various characterisations of elliptic boundary conditions and demonstrate how the boundary conditions traditionally considered in the literature fit in our framework. The regularity of the solutions up to the boundary is proven. We show that imposing elliptic boundary conditions yields a Fredholm operator if the manifold is compact. We provide examples which are conveniently treated by our methods.
KW  - elliptic differential operators of firstorder
KW  - elliptic boundary
KW  - conditions
KW  - boundary regularity
KW  - Fredholm property
KW  - H-infinity-functional calculus
KW  - maximal regularity
KW  - Rarita-Schwinger
KW  - operator
Y1  - 2022
U6  - https://doi.org/10.1016/j.jfa.2022.109445
SN  - 0022-1236
SN  - 1096-0783
VL  - 282
IS  - 12
PB  - Elsevier
CY  - Amsterdam [u.a.]
ER  -