Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 17, pp. 1-10.

Title: Continuous dependence of solutions to mixed boundary value
       problems for a parabolic equation
  
Authors: Moussa Zakari Djibibe  (Univ. of Lome, Togo)
         Kokou Tcharie          (Univ. of Lome, Togo)
	 Nikolay Iossifovich Yurchuk (Belarussian State Univ, Belarus)

Abstract: 
 We prove the continuous dependence, upon
 the data, of solutions to second-order parabolic equations.
 We study two boundary-value problems: One has a nonlocal (integral)
 condition and the another has a local boundary condition.
 The proofs are based on a priori estimate for the difference
 of solutions.
  
Submitted October 16, 2007. Published February 05, 2008.
Math Subject Classifications: 35K20, 35K25, 35K30.
Key Words: Priori estimate; mixed problem; continuous dependence;
           boundary conditions