Geodesic
Solution of the Cauchy problem for a parabolic equation with singular coefficients
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 47, Tome 477 (2018), pp. 35-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is concerned with the Cauchy problem for the second order parabolic equation with the singular coefficients with respect to $t$ at the first order spatial derivatives. The solution of the problem is constructed in the explicit form. For it, it is defined a weighted Hölder space with the weight as a positive power of $t$. The existence, uniqueness, estimates of the solution are proved. 
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G. I. Bizhanova. Solution of the Cauchy problem for a parabolic equation with singular coefficients. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 47, Tome 477 (2018), pp. 35-53. http://geodesic.mathdoc.fr/item/ZNSL_2018_477_a2/

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