T. G. Bhaskar and R. Kumar, “Analyticity of Semigroup Generated by a Class of Differential Operators with Interface,” Nonlinear Analysis, Vol. 39, No. 6, 2000, pp. 779-791. doi:10.1016/S0362-546X(98)00237-5

has been cited by the following article:

• TITLE: Analyticity of Semigroups generated by Degenerate Mixed Differential Operators

  AUTHORS: Adel Saddi

  KEYWORDS: Adjoint, Interface, Dissipative Operators, Analytic Semigroups

  JOURNAL NAME: Advances in Pure Mathematics, Vol.1 No.3, June 3, 2011

  ABSTRACT: In this paper we are interested in studying the dissipativity of degenerate mixed differential operators involving an interface point. We show that, under particular interface conditions, such operators generate analytic semigroups on an appropriate Hilbert space . To illustrate the results an example is discussed.