Geodesic
The quasilinear parabolic Venttsel' problem with discontinuous leading coefficients
Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 2, pp. 93-99

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New results on the strong solvability in Sobolev spaces of the quasilinear Venttsel' problem for parabolic equations with discontinuous leading coefficients are obtained.
Keywords: quasilinear second-order parabolic equation, Venttsel' problem, $VMO_x$ class, a priori estimate, existence theorem. 
@article{FAA_2023_57_2_a5,
     author = {D. E. Apushkinskaya and A. I. Nazarov and D. K. Palagachev and L. G. Softova},
     title = {The quasilinear parabolic {Venttsel'} problem with discontinuous leading coefficients},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {93--99},
     publisher = {mathdoc},
     volume = {57},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2023_57_2_a5/}
}
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D. E. Apushkinskaya; A. I. Nazarov; D. K. Palagachev; L. G. Softova. The quasilinear parabolic Venttsel' problem with discontinuous leading coefficients. Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 2, pp. 93-99. http://geodesic.mathdoc.fr/item/FAA_2023_57_2_a5/