Stabilization of solutions to Shilov-type parabolic systems with nonnegative genus

DOI10.1134/S0037446614020104zbMathNoneOpenAlexW1976526896MaRDI QIDQ483441

Vladyslav A. Litovchenko, Iryna M. Dovzhytska

Publication date: 17 December 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446614020104

zbMATH Keywords

Cauchy problemstabilization of solutionsgeneralized initial dataShilov-parabolic systems with variable coefficients

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx)

Related Items (5)

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 ⋮ Conjugate Cauchy problem for parabolic Shilov type systems with nonnegative genus ⋮ Modified Cauchy problem with impulse action for parabolic Shilov equations ⋮ Pseudodifferential local interaction equation for moving objects

Cites Work

• The fundamental matrix of solutions of the Cauchy problem for a class of parabolic systems of the Shilov type with variable coefficients
• Cauchy problem for a class of parabolic systems of Shilov type with variable coefficients
• Some stabilization theorems for solutions of the Cauchy problem for Shilov-parabolic systems in classes of generalized functions
• On the behaviour of solutions of parabolic equations for large values of time
• THE STABILIZATION OF SOLUTIONS OF THE GENERALIZED CAUCHY PROBLEM FOR ULTRAPARABOLIC EQUATIONS
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