Abstract wave equations with generalized Wentzell boundary conditions
We introduce a general framework which allows to verify if abstract wave equations with
generalized Wentzell boundary conditions are well-posed, ie, are governed by a cosine
family. As an example we study wave equations for second order differential operators on C
[0, 1] with non-local Wentzell-type boundary conditions. Moreover, in Appendix A we give a
perturbation result for sine and cosine families.
generalized Wentzell boundary conditions are well-posed, ie, are governed by a cosine
family. As an example we study wave equations for second order differential operators on C
[0, 1] with non-local Wentzell-type boundary conditions. Moreover, in Appendix A we give a
perturbation result for sine and cosine families.
We introduce a general framework which allows to verify if abstract wave equations with generalized Wentzell boundary conditions are well-posed, i.e., are governed by a cosine family. As an example we study wave equations for second order differential operators on C[0,1] with non-local Wentzell-type boundary conditions. Moreover, in Appendix A we give a perturbation result for sine and cosine families.
Elsevier
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