Generation of analytic semigroups by strongly elliptic operators under general boundary conditions

Stewart, H. Bruce

doi:10.1090/S0002-9947-1980-0561838-5

Generation of analytic semigroups by strongly elliptic operators under general boundary conditions
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Trans. Amer. Math. Soc. 259 (1980), 299-310 Request permission

Abstract:

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.

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