Refine
Has Fulltext
- yes (155) (remove)
Document Type
- Conference Proceeding (145)
- Report (9)
- Article (1)
Institute
- In Zusammenarbeit mit der Bauhaus-Universität Weimar (82)
- Graduiertenkolleg 1462 (31)
- Professur Angewandte Mathematik (13)
- Institut für Strukturmechanik (ISM) (12)
- Professur Computergestütztes kooperatives Arbeiten (9)
- Institut für Konstruktiven Ingenieurbau (IKI) (4)
- Professur Informatik im Bauwesen (4)
- Professur Stochastik und Optimierung (3)
- Professur Computer Vision in Engineering (2)
- Professur Stahlbau (2)
Keywords
- Angewandte Informatik (155) (remove)
In this paper we consider the time independent Klein-Gordon equation on some conformally flat 3-tori with given boundary data. We set up an explicit formula for the fundamental solution. We show that we can represent any solution to the homogeneous Klein-Gordon equation on the torus as finite sum over generalized 3-fold periodic elliptic functions that are in the kernel of the Klein-Gordon operator. Furthermore we prove Cauchy and Green type integral formulas and set up a Teodorescu and Cauchy transform for the toroidal Klein-Gordon operator. These in turn are used to set up explicit formulas for the solution to the inhomogeneous version of the Klein-Gordon equation on the 3-torus.