Geodesic
Continuous dependence of solutions to mixed boundary value problems for a parabolic equation
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35K20, 35K25, 35K30
Keywords: priori estimate, mixed problem, continuous dependence, boundary conditions 
@article{EJDE_2008__2008__a66,
     author = {Djibibe, Moussa Zakari and Tcharie, Kokou and Yurchuk, Nikolay Iossifovich},
     title = {Continuous dependence of solutions to mixed boundary value problems for a parabolic equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a66/}
}
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Djibibe, Moussa Zakari; Tcharie, Kokou; Yurchuk, Nikolay Iossifovich. Continuous dependence of solutions to mixed boundary value problems for a parabolic equation. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a66/