The Cauchy problem for a multi-dimensional parabolic equation with Dini-continuous coefficients

DOI10.1007/S10958-022-06018-0zbMath1495.35094OpenAlexW4287831865MaRDI QIDQ2160279

I. V. Zhenyakova, M. F. Cherepova

Publication date: 3 August 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06018-0

zbMATH Keywords

unbounded right-hand sidesolution smoothness in the Dini space

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

On the fundamental solution of a parabolic equation with Dini continuous coefficients ⋮ Regular fundamental solution to parabolic equation with Dini continuous coefficients in many spatial variables

Cites Work

• Unnamed Item
• On solution of the fundamental boundary value problems for a one- dimensional parabolic equation of second order by the method of potentials
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• Regularity of solution to the Cauchy problem for parabolic equation in the Dini space
• Uniqueness theorem for parabolic Cauchy problem

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