Rights accessRestricted access - publisher's policy
In this paper we investigate the spatial behavior of the solutions for
a theory for the heat conduction with one delay term. We obtain a Phragm én-
Lindelöf type alternative. That is, the solutions either decay in an exponential
way or blow-up at in nity in an exponential way. We also show how to obtain
an upper bound for the amplitude term. Later we point out how to extend
the results to a thermoelastic problem. We nish the paper by considering
the equation obtained by the Taylor approximation to the delay term. A
Phragm én-Lindelöf type alternative is obtained for the forward and backward
in time equations.
CitationLeseduarte, M.C.; Quintanilla, R. Phragmén-Lindelöf alternative for an exact heat conduction equation with delay. "Communications on pure and applied analysis", 01 Maig 2013, vol. 12, núm. 3, p. 1221-1235.
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder. If you wish to make any use of the work not provided for in the law, please contact: email@example.com