Abstract
In this final chapter we summarize the contents of the first edition of the present monograph “Semigroups, boundary value problems and Markov processes” which was published in 2004. In Sect. 13.1 we study a class of degenerate boundary value problems for second-order elliptic differential operators which includes as particular cases the Dirichlet and Robin problems. We state existence and uniqueness theorems for this class of degenerate elliptic boundary value problems (Theorems 13.1 and 13.2). The crucial point is how to define modified boundary Besov and Hölder spaces in which our boundary value problems are uniquely solvable.
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Taira, K. (2014). Concluding Remarks. In: Semigroups, Boundary Value Problems and Markov Processes. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43696-7_13
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