Geodesic
Stability of the unique solvability for some differential equations
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 3, pp. 170-182 
I. G. Tsar'kov. Stability of the unique solvability for some differential equations. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 3, pp. 170-182. http://geodesic.mathdoc.fr/item/TIMM_2008_14_3_a15/
@article{TIMM_2008_14_3_a15,
     author = {I. G. Tsar'kov},
     title = {Stability of the unique solvability for some differential equations},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {170--182},
     year = {2008},
     volume = {14},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2008_14_3_a15/}
}
TY  - JOUR
AU  - I. G. Tsar'kov
TI  - Stability of the unique solvability for some differential equations
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2008
SP  - 170
EP  - 182
VL  - 14
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TIMM_2008_14_3_a15/
LA  - ru
ID  - TIMM_2008_14_3_a15
ER  - 
%0 Journal Article
%A I. G. Tsar'kov
%T Stability of the unique solvability for some differential equations
%J Trudy Instituta matematiki i mehaniki
%D 2008
%P 170-182
%V 14
%N 3
%U http://geodesic.mathdoc.fr/item/TIMM_2008_14_3_a15/
%G ru
%F TIMM_2008_14_3_a15

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Conditions on a differential equation are studied under which it is possible to estimate the deviation of some of its continuous solutions from each other in the uniform metric given their deviations on a grid.

[1] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, 2-e izd., Nauka, M., 1973, 576 pp. | MR

[2] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975, 480 pp. | MR | Zbl

[3] Pokhozhaev S. I., “Ob uravneniyakh vida $\Delta u=f(x,u,Du)$”, Mat. sb., 113(155):2(10) (1980), 324–338 | MR | Zbl

[4] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967, 736 pp. | MR

[5] Solonnikov V. A., “Apriornye otsenki dlya uravnenii vtorogo poryadka parabolicheskogo tipa”, Tr. MIAN, 70, 1964, 133–212 | MR | Zbl