Cauchy problem for a class of parabolic systems of Shilov type with variable coefficients

DOI10.2478/s11533-012-0025-7zbMath1239.35061OpenAlexW2137263329MaRDI QIDQ424120

Iryna M. Dovzhytska, Vladyslav A. Litovchenko

Publication date: 31 May 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0025-7

zbMATH Keywords

Cauchy problemcorrect solvabilitygeneralized initial dataprinciple of localizationShilov parabolic systems with variable coefficients

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Higher-order parabolic systems (35K41) Initial value problems for higher-order parabolic systems (35K46)

Related Items (6)

Nonlocal problem with impulsive action for parabolic equations of the vector order ⋮ Fundamental solution of the Cauchy problem for the Shilov-type parabolic systems with coefficients of bounded smoothness ⋮ Stabilization of solutions to Shilov-type parabolic systems with nonnegative genus ⋮ Conjugate Cauchy problem for parabolic Shilov type systems with nonnegative genus ⋮ Modified Cauchy problem with impulse action for parabolic Shilov equations ⋮ Inverse problem for $2b$-order differential equation with a time-fractional derivative

Cites Work

• The fundamental matrix of solutions of the Cauchy problem for a class of parabolic systems of the Shilov type with variable coefficients
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