Geodesic
On the solvability of the Dirichlet problem for anisotropic parabolic equations in non-convex domains
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 1, pp. 131-146

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The Cauchy—Dirichlet problem in non-convex domains for anisotropic parabolic equation with time-dependent exponents and gradient term is considered. We state sufficient conditions that guarantee the existence and uniqueness of a viscosity solution which is Lipschitz continuous in the space variables and Hölder continuous in time.
Keywords: boundary value problems, a priori estimates, viscosity solutions. .
Mots-clés : anisotropic equations 
@article{SJIM_2022_25_1_a9,
     author = {Ar. S. Tersenov},
     title = {On the solvability of the {Dirichlet} problem for anisotropic  parabolic equations in non-convex domains},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {131--146},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a9/}
}
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Ar. S. Tersenov. On the solvability of the Dirichlet problem for anisotropic  parabolic equations in non-convex domains. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 1, pp. 131-146. http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a9/