Salah Badraoui
Abstract:
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 email: sabadraoui@hotmail.com |
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