Generation of analytic semigroups by strongly elliptic operators

Stewart, H. Bruce

doi:10.1090/S0002-9947-1974-0358067-4

Generation of analytic semigroups by strongly elliptic operators
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by H. Bruce Stewart PDF

Trans. Amer. Math. Soc. 199 (1974), 141-162 Request permission

Abstract:

Strongly elliptic operators realized under Dirichlet boundary conditions in unbounded domains are shown to generate analytic semigroups in the topology of uniform convergence. This fact is applied to initial-boundary value problems for temporally homogeneous and temporally inhomogeneous parabolic equations.

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