Complete second order differential equations in Banach spaces with dynamic boundary conditions |
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| Authors: | Ti-Jun Xiao Jin Liang |
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| Institution: | a Department of Mathematics, University of Science and Technology of China, Anhui, Hefei, 230026, People's Republic of China
b Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076, Tübingen, Germany |
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| Abstract: | In this paper, we deal with the mixed initial boundary value problem for complete second order (in time) linear differential equations in Banach spaces, in which time-derivatives occur in the boundary conditions. General wellposedness theorems are obtained (for the first time), which are used to solve the corresponding inhomogeneous problems. Examples of applications to initial boundary value problems for partial differential equations are also presented. |
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| Keywords: | Second order Differential equations in Banach spaces Mixed initial boundary value problem Dynamic boundary conditions Wellposedness Inhomogeneous Hyperbolic equations Wentzell boundary conditions |
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