Large solutions and smoothing properties for nonlinear thermoelastic systems

Journal of Differential Equations

Volumn 127, Issue 2, 1996, Pages 454-483

  Muñoz Rivera, Jaime E ^a,b   Racke, Reinhard ^c  

^a LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

^b FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^c UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030594501     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0078     Document Type: Article

References (10)

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2. 2. A. AROSIO AND S. SPAGNOLO, Global solutions to the Cauchy problem for a nonlinear hyperbolic equation, in "Nonlinear Partial Differential Equations and Their Applications," Collège de France Seminar, Vol. VI, Pitman Research Notes Math, Vol. 109, pp. 1-26, Longman, Essex, 1984.
3. 3. C. M. DAFERMOS, Asymptotic stability in viscoelasticity, Arch. Rational Mech. Anal. 37 (1970), 297-308.
4. 4. G. DASSIOS AND F. ZAFIROPOULOS, Equipartition of energy in linearized 3-D viscoelasticity, Quart. Appl. Math. 48 (1990), 715-730.
5. 5. D. HUET, "Décomposition spectrale et opérateurs," Presses Universitaires de France, Paris, 1976.
6. 6. J. U. KIM, On the energy decay of a linear thermoelastic bar and plate, SIAM J. Math. Anal. 23 (1992), 889-899.
7. 7. J. L. LIONS AND E. MAGENES, "Problèmes aux limites non homogènes et applications," Vol. 1, Dunod, Paris, 1968.
8. 8. Z. LIU AND S. ZHENG, Exponential stability of the Kirchhoff plate with thermal or viscoelastic damping, Quart. Appl. Math., to appear.
9. 9. J. E. MUÑOZ RIVERA, Asymptotic behaviour in linear viscoelasticity, Quart. Appl. Math. 52 (1994), 629-648.
10. 10. J. E. MUÑOZ RIVERA AND R. RACKE, Smoothing properties, decay and global existence of solutions to nonlinear coupled systems of thermoelastic type, SIAM J. Math. Anal. 26 (1995), 1547-1563.