Published September 1, 2008
| Version v1
Journal article
Norm Estimations of the Modified Teodorescu Transform with Application to a Multidimensional Equation of Airy Type
Creators
- 1. Freiberg University of Mining and Technology, Institute of Applied Analysis, D-09596 Freiberg (Germany)
Description
We study versions of a generalized Teodorescu transform. In the 2-dimensional case we can describe the asymptotic behaviour by the help of modified Bessel functions. In 3-dimensional case we only have an upper estimate. Such estimates are necessary to prove the convergence of a semi-discretization method for a higher-dimensional analogue of an equation of Airy's type.
Additional details
Identifiers
- DOI
- 10.1063/1.2991025;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 1048
- Journal Issue
- 1
- Journal Page Range
- p. 701-705
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- International conference on numerical analysis and applied mathematics 2008
- Dates
- 16-20 Sep 2008
- Place
- Psalidi, Kos (Greece)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41002681
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; BESSEL FUNCTIONS; CONVERGENCE; DIRAC EQUATION; FUNCTIONAL ANALYSIS; INTEGRO-DIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2008 American Institute of Physics