This article concerns the generation of analytic semigroups by an operator matrix in the space . We assume that one of the diagonal elements is strongly elliptic and the other is weakly elliptic, while the sum of the non-diagonal elements is weakly elliptic.
Submitted June 15, 2012. Published September 28, 2012.
Math Subject Classifications: 35B40, 35B45, 35K55, 35K65.
Key Words: Analytic semigroup; infinitesimal generator; operator matrix; dissipative operator; dual space; adjoint operator; strongly elliptic operator.
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| Salah Badraoui |
Laboratoire LAIG, Université du 08 Mai 1945-Guelma
BP 401, Guelma 24000, Algeria
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