The floating beam problem: weighted regularity of weak solutions

Abstract

This paper gives a refined analysis of the weighted regularity of weak solutions of the two-dimensional time-harmonic floating beam problem which is a simplified version of the floating body problem (cf. F. John [9,10]).

Keywords:

• Weak solutions
• elliptic boundary value problem
• Sobolev space
• Besov space

AMS:

• 76B20

^∗Supported by the Deutsche Forschungsgemeinschaft (DFG) under Grant Do 283/2-2.

^∗Supported by the Deutsche Forschungsgemeinschaft (DFG) under Grant Do 283/2-2.

Notes

^∗Supported by the Deutsche Forschungsgemeinschaft (DFG) under Grant Do 283/2-2.