Generation of analytic semigroups by strongly elliptic operators under general boundary conditions
H. Bruce Stewart · Transactions of the American Mathematical Society · 1980
Strongly elliptic operators are shown to generate analytic semigroups of evolution operators in the topology of uniform convergence, when realized under general boundary conditions on (possibly) unbounded domains. An application to the existence and regularity of solutions to parabolic initial-boundary value problems is indicated.