Uniqueness of the solution of the first initial-boundary value problem for a parabolic system with differentiable coefficients in a half-strip with nonsmooth lateral boundary

DOI10.1134/S0012266121050050zbMath1467.35009OpenAlexW3160056315MaRDI QIDQ2034731

E. A. Baderko, S. I. Sakharov

Publication date: 23 June 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121050050

zbMATH Keywords

one space dimensionsecond-order Petrovskii parabolic system

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 (4)

Uniqueness of solutions of initial-boundary value problems for parabolic systems with dini-continuous coefficients in domains on the plane ⋮ Classical solutions of the first boundary value problem for parabolic systems on the plane ⋮ Existence and uniqueness of the classical solution of the first boundary value problem for parabolic systems on the plane ⋮ Uniqueness of solutions to initial-boundary value problems for parabolic systems with dini-continuous coefficients in a semibounded domain on the plane

Cites Work

• Simple layer potential and the first boundary value problem for a parabolic system on the plane
• Dirichlet problem for parabolic systems with dini continuous coefficients on the plane
• Uniqueness of solution to the first initial boundary value problem for parabolic systems on the plane in a model case
• Smoothness in the dini space of a single layer potential for a parabolic system in the plane
• Uniqueness of a solution in a Hölder class to the first initial boundary value problem for a parabolic system in a bounded nonsmooth domain in the plane
• Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries
• The first boundary value problem for parabolic systems in plane domains with nonsmooth lateral boundaries
• Uniqueness of solution of the first initial-boundary value problem for parabolic systems with constant coefficients in a semibounded domain on the plane
• On smoothness of thermal potentials in Dini-Hölder space
• Analogs of Giraud's theorem for a second-order parabolic equation
• ON THE MAXIMUM PRINCIPLE FOR STRONGLY ELLIPTIC AND PARABOLIC SECOND ORDER SYSTEMS WITH CONSTANT COEFFICIENTS
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• Bitsadze–Samarskii problem for parabolic systems with Dini continuous coefficients
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