2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 23-32. 

Title: On the well-posedness of the heat equation on unbounded domains

Authors: Wolfgang Arendt (Univ. Ulm, Germany)
         Soumia Lalaoui Rhali (Univ. Sidi  Mohamed Ben Abdellah, Morocco)
 
Abstract: 
 This work concerns the well-posedness of the heat equation
 in an unbounded open domain, under basic regularity
 assumptions on this domain.

Published October 15, 2004.
Math Subject Classifications: 35K05, 35K20, 47D06.
Key Words: Unbounded domains; heat equation; Dirichlet problem; 
           resolvent positive operators.