L. Jentsch; D. Natroshvili; I. Sigua : Mixed Interface Problems of Thermoelastic Pseudo-Oscillations
- Author(s) :
- L. Jentsch; D. Natroshvili; I. Sigua
- Title :
- Mixed Interface Problems of Thermoelastic Pseudo-Oscillations
- Electronic source :
- [gzipped ps-file] 114
kB
[gzipped dvi-file] 51 kB
- Preprint series
- Technische Universität Chemnitz-Zwickau, Fakultät für Mathematik (Germany). Preprint 97-1, 1997
- Mathematics Subject Classification :
- 31B10 [ Integral representations of harmonic functions (higher-dimensional)
]
- 31B25 [ Boundary behavior of harmonic functions (higher-dim.) ]
- 35C15 [ Integral representations of solutions of PDE ]
- 35E05 [ Fundamental solutions (PDE with constant coefficients) ]
- 45F15 [ Systems of singular linear integral equations ]
- 73B30 [ Thermodynamics of solids ]
- 73B40 [ Anisotropic materials ]
- 73C15 [ Uniqueness theorems in elasticity ]
- 73D30 [ Linear vibrations of solids ]
- 31B25 [ Boundary behavior of harmonic functions (higher-dim.) ]
- Abstract :
- Three-dimensional basic and mixed interface problems of the mathematical
theory of thermoelastic pseudo-oscillations are considered for piecewise homogeneous
anisotropic bodies. Applying the method of boundary potentials and the theory of
pseudodifferential equations existence and uniqueness theorems of solutions are proved
in the space of regular functions C^(k+ alpha) and in the Bessel-potential (H^(s)_(p))
and Besov (B^(s)_(p,q)) spaces. In addition to the classical regularity results
for solutions to the basic interface problems, it is shown that in the mixed interface
problems the displacement vector and the temperature are Hölder continuous with
exponent 0<alpha<1/2.
- Keywords :
- mixed interface problems, thermoelastic pseudo-oscillations, pseudodifferential equations
- Language :
- english
- Publication time :
- 1/1997
