On the stabilization of time averages of the solution to a Petrovskii-parabolic system of equations. (English. Russian original) Zbl 1506.35014
Differ. Equ. 58, No. 11, 1558-1562 (2022); translation from Differ. Uravn. 58, No. 11, 1557-1561 (2022).
Summary: We study necessary and sufficient conditions for stabilization of time averages of the solution of the Cauchy problem for a system of Petrovskii-parabolic equations.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35C15 | Integral representations of solutions to PDEs |
| 35E05 | Fundamental solutions to PDEs and systems of PDEs with constant coefficients |
| 35K45 | Initial value problems for second-order parabolic systems |
Keywords:
Green’s matrixReferences:
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