Abstract wave equations with generalized Wentzell boundary conditions |
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| Authors: | András Bátkai |
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| Institution: | a ELTE TTK, Department of Applied Analysis, Pf. 120, H-1518 Budapest, Hungary
b Department of Pure and Applied Mathematics, Division of Engineering, University of L’Aquila, Località Monteluco, I-67040 Roio Poggio (AQ), Italy |
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| Abstract: | 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 C0,1] with non-local Wentzell-type boundary conditions. Moreover, in Appendix A we give a perturbation result for sine and cosine families. |
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| Keywords: | 47D09 34G10 35L05 |
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