In this notes we present a rather general framework which allows to prove in a unified and systematic way that certain second order differential operators with Wentzell-type boundary conditions generate analytic semigroups or even cosine families on spaces of continuous functions. It is based on similarity transformations and perturbation techniques which allow to decouple (complicated) Wentzell boundary conditions yielding to an operator with (much simpler) abstract “Dirichlet” boundary conditions and an abstract “Dirichlet–Neumann” operator on a “boundary space”.
Systems of evolution equations
ENGEL, KLAUS JOCHEN OTTO
1994-01-01
Abstract
In this notes we present a rather general framework which allows to prove in a unified and systematic way that certain second order differential operators with Wentzell-type boundary conditions generate analytic semigroups or even cosine families on spaces of continuous functions. It is based on similarity transformations and perturbation techniques which allow to decouple (complicated) Wentzell boundary conditions yielding to an operator with (much simpler) abstract “Dirichlet” boundary conditions and an abstract “Dirichlet–Neumann” operator on a “boundary space”.File in questo prodotto:
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