Abstract
We consider the (Formula presented.) -mixed problem in domains in (Formula presented.) with (Formula presented.) -boundary. We assume that the boundary between the sets where we specify Neumann and Dirichlet data is Lipschitz. With these assumptions, we show that we may solve the (Formula presented.) -mixed problem for q in the range (Formula presented.).
Original language | English |
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Pages (from-to) | 181-193 |
Number of pages | 13 |
Journal | Complex Variables and Elliptic Equations |
Volume | 66 |
Issue number | 2 |
DOIs | |
State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2020 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- 35J25
- Besov spaces
- Laplace's equation
- Mixed boundary value problem
- Zaremba's problem
- harmonic analysis
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics