Some results on nonlinear heat equations for materials of fading memory type

Journal of Integral Equations and Applications

Volumn 2, Issue 3, 1990, Pages 375-391

  Clément, Ph ^a   Da Prato, G ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b SCUOLA NORMALE SUPERIORE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243917995     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181075569     Document Type: Article

References (8)

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2. M.G. Crandall and J.A. Nohel, An abstract functional differential equation and a related nonlinear Volterra equation, Israel J. Math. 29 (1978), 313-328.
3. G. Da Prato and M. Iannelli, Existence and regularity for a class of integro-differential equations of parabolic type, J. Math. Anal. Appl. 112 (1985), 36-55.
4. J.L. Lions and J. Peetre, Sur une classe d'espaces d'interpolation, Institut de Hautes Etudes Scientifiques, Publ. Math. 19 (1964), 5-68.
5. A. Lunardi, On the linear heat equation for materials of fading memory type, SIAM J. Math. Anal., to appear.
6. A. Lunardi, Laplace transform methods in integrodifferential equations, J. Integral Equations Appl. 10 (1985), 185-211.
7. J.W. Nunziato, On heat conduction in materials with memory, Quart. Appl. Math. 29 (1971), 187-204.
8. J. Prüß, On Linear Volterra equations of parabolic type in Banach spaces, Trans. Amer. Math. Soc. 301 (1987), 691-721.