Generation of analytic semigroups by strongly elliptic operators

@article{Stewart1974GenerationOA,
  title={Generation of analytic semigroups by strongly elliptic operators},
  author={H. Bruce Stewart},
  journal={Transactions of the American Mathematical Society},
  year={1974},
  volume={199},
  pages={141-162}
}
  • H. Stewart
  • Published 1 November 1974
  • Mathematics
  • Transactions of the American Mathematical Society
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. Introduction. Extending the results of a previous paper [19], we propose to prove a theorem on the generation of analytic semigroups by strongly elliptic operators A… 
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