Geodesic
On the initial-boundary value problem for semilinear parabolic equation with controlled principal part
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 317-324

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The first initial-boundary value problem for a semilinear parabolic equation with controlled coefficients of the main part is considered. Sufficient stability conditions (at perturbation of the controlled coefficients) of the existence of global solutions of the initial-boundary value problem are formulated.
Keywords: semilinear parabolic equation, the first initial-boundary value problem, the controlled main part, the stability of the existence of global solutions. 
@article{VTAMU_2018_23_122_a24,
     author = {M. S. Korzhavina and V. I. Sumin},
     title = {On the initial-boundary value problem for semilinear parabolic equation with controlled principal part},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {317--324},
     publisher = {mathdoc},
     volume = {23},
     number = {122},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a24/}
}
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M. S. Korzhavina; V. I. Sumin. On the initial-boundary value problem for semilinear parabolic equation with controlled principal part. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 317-324. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a24/