Published January 2009
| Version v1
Journal article
Logarithmic Klein-Gordon Equation
Creators
- 1. Department of Mathematics and Information Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw (Poland)
Description
We study weak solutions to the Klein-Gordon equation with the logarithmic nonlinearity on interval. Such kinds of nonlinearities appear in inflation cosmology and in supersymmetric field theories. Moreover, this framework is applied in nuclear physics, optics, and geophysics. We obtained the existence of weak solutions. For this purpose the Galerkin method, logarithmic Sobolev inequality and compactness theorem are applied. (author)
Availability note (English)
Also available at http://th-www.if.uj.edu.pl/acta/Additional details
Additional titles
- Augmented title (English)
- PACS numbers: 03.65.Pm, 02.30.Jr, 02.30.Sa
Identifiers
Publishing Information
- Journal Title
- Acta Physica Polonica. Series B
- Journal Volume
- B40
- Journal Issue
- 1
- Journal Page Range
- p. 59-66
- ISSN
- 0587-4254
INIS
- Country of Publication
- Poland
- Country of Input or Organization
- Poland
- INIS RN
- 40022890
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- KLEIN-GORDON EQUATION; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; POTENTIALS; QUANTUM MECHANICS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Optional Information
- Notes
- 25 refs.