Geodesic
Continuous dependence of solutions to mixed boundary value problems for a parabolic equation
Electronic journal of differential equations, Tome 2008 (2008)
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},
     year = {2008},
     volume = {2008},
     zbl = {1136.35312},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a66/}
}
TY  - JOUR
AU  - Djibibe,  Moussa Zakari
AU  - Tcharie,  Kokou
AU  - Yurchuk,  Nikolay Iossifovich
TI  - Continuous dependence of solutions to mixed boundary value problems for a parabolic equation
JO  - Electronic journal of differential equations
PY  - 2008
VL  - 2008
UR  - http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a66/
LA  - en
ID  - EJDE_2008__2008__a66
ER  - 
%0 Journal Article
%A Djibibe,  Moussa Zakari
%A Tcharie,  Kokou
%A Yurchuk,  Nikolay Iossifovich
%T Continuous dependence of solutions to mixed boundary value problems for a parabolic equation
%J Electronic journal of differential equations
%D 2008
%V 2008
%U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a66/
%G en
%F EJDE_2008__2008__a66
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/