Strictly elliptic operators with generalized Wentzell boundary conditions on continuous functions on manifolds with boundary

Author:

Binz Tim

Abstract

AbstractWe prove that strictly elliptic operators with generalized Wentzell boundary conditions generate analytic semigroups of angle $$\frac{\pi }{2}$$ π 2 on the space of continuous functions on a compact manifold with boundary.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference13 articles.

1. Aubin, T.: Nonlinear Analysis on Manifolds. Monge–Ampère Equations. Springer, Berlin (1982)

2. Binz, T., Engel, K.-J.: Operators with Wentzell boundary conditions and the Dirichlet-to-Neumann operator. Math. Nachr. 292, 733–746 (2019)

3. Binz, T.: Dirichlet-to-Neumann operators on manifolds (preprint) (2018)

4. Binz, T.: Strictly elliptic Operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds (preprint) (2018)

5. Engel, K.-J., Fragnelli, G.: Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions. Adv. Differ. Equ. 10, 1301–1320 (2005)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Correction to: Strictly elliptic operators with generalized Wentzell boundary conditions on continuous functions on manifolds with boundary;Archiv der Mathematik;2021-07-07

2. First-order evolution equations with dynamic boundary conditions;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2020-10-19

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