Uniqueness of solutions of initial-boundary value problems for parabolic systems with dini-continuous coefficients in domains on the plane

DOI10.1134/S1064562422020065zbMath1494.35004OpenAlexW4286652520MaRDI QIDQ2155322

E. A. Baderko, S. I. Sakharov

Publication date: 15 July 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422020065

zbMATH Keywords

initial-boundary value problemboundary integral equationsparabolic systemnonsmooth lateral boundaryuniqueness of classical solution

Mathematics Subject Classification ID

Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (7)

Poisson potential in the first initial-boundary value problem for a parabolic system in a semibounded domain on the plane ⋮ Smooth solution of the first initial-boundary value problem for parabolic systems in a semibounded domain with nonsmooth lateral boundary on the plane ⋮ On the unique solvability of initial-boundary value problems for parabolic systems in bounded plane domains with nonsmooth lateral boundaries ⋮ Uniqueness of solutions to initial-boundary value problems for parabolic systems with dini-continuous coefficients in a semibounded domain on the plane ⋮ Volume potential and initial-boundary value problems for parabolic systems with Dini continuous coefficients in the plane ⋮ Initial-boundary value problems for homogeneous parabolic systems in a semibounded plane domain and complementarity condition ⋮ Smooth solution to the second initial-boundary value problem for a parabolic system in a domain with nonsmooth lateral boundary

Cites Work

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• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• Dirichlet problem for parabolic systems with Dini continuous coefficients

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