Ranges of -homogeneous operators and their perturbations
Pavel Drábek (1980)
Časopis pro pěstování matematiky
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Pavel Drábek (1980)
Časopis pro pěstování matematiky
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William H. Mc Connell (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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David Jerison, Carlos E. Kenig (1989)
Journées équations aux dérivées partielles
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Simader, Christian G.
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D'yakonov, E. (2000)
Discrete Dynamics in Nature and Society
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Pierre-Etienne Druet (2010)
Applications of Mathematics
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We consider a model for transient conductive-radiative heat transfer in grey materials. Since the domain contains an enclosed cavity, nonlocal radiation boundary conditions for the conductive heat-flux are taken into account. We generalize known existence and uniqueness results to the practically relevant case of lower integrable heat-sources, and of nonsmooth interfaces. We obtain energy estimates that involve only the norm of the heat sources for exponents close to one. Such estimates...