Geodesic
Contact problem for a second-order parabolic equation with Dini-continuous coefficients
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings – XXXI". Voronezh, May 3-9, 2020, Tome 204 (2022), pp. 135-145

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We consider a contact problem for second-order parabolic equations with Dini-continuous coefficients in a strip divided by a nonsmooth curve into two domains. The existence and uniqueness of a regular solution to this problem is proved.
Keywords: parabolic contact problem, parabolic equation with discontinuous coefficients, method of boundary integral equations, simple layer potential. 
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     author = {S. I. Saharov},
     title = {Contact problem for a second-order parabolic equation with {Dini-continuous} coefficients},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {135--145},
     publisher = {mathdoc},
     volume = {204},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_204_a13/}
}
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S. I. Saharov. Contact problem for a second-order parabolic equation with Dini-continuous coefficients. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings – XXXI". Voronezh, May 3-9, 2020, Tome 204 (2022), pp. 135-145. http://geodesic.mathdoc.fr/item/INTO_2022_204_a13/