Uniqueness of the solution of the Cauchy problem for parabolic systems

DOI10.1134/S0012266119060077zbMath1423.35163OpenAlexW2957185091WikidataQ127477767 ScholiaQ127477767MaRDI QIDQ2332104

M. F. Cherepova, E. A. Baderko

Publication date: 1 November 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119060077

Mathematics Subject Classification ID

Initial value problems for second-order parabolic systems (35K45) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (5)

Smooth solution of the second initial-boundary value problem for a model parabolic system in a semibounded nonsmooth domain on the plane ⋮ Uniqueness of solutions of initial-boundary value problems for parabolic systems with dini-continuous coefficients in domains on the plane ⋮ Poisson potential in the first initial-boundary value problem for a parabolic system in a semibounded domain on the plane ⋮ On the unique solvability of initial-boundary value problems for parabolic systems in bounded plane domains with nonsmooth lateral boundaries ⋮ On the smoothness of the Poisson potential for second-order parabolic systems on the plane

Cites Work

• Uniqueness of a solution to the Cauchy problem for parabolic systems
• Tikhonov-Petrovskii problem for second-order parabolic equations
• Uniqueness theorem for parabolic Cauchy problem
• THE METHOD OF INTRODUCING A PARAMETER IN THE STUDY OF EVOLUTIONARY EQUATIONS
• Linear second-order partial differential equations of the parabolic type
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