Discontinuous Parabolic Problems with a Nonlocal Initial Condition

<p/> <p>We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial condition. We are concerned with the existence of solutions in the weak sense. Our technique is based on the Green's function, integral representation of solutions...

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Bibliographic Details
Main Author: Boucherif Abdelkader
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2011/965759