On Large-Time Behavior of Solutions of Parabolic Nondivergent Equations with Increasing Principal Coefficients

On Large-Time Behavior of Solutions of Parabolic Nondivergent Equations with Increasing Principal Coefficients

We investigate sufficient conditions of the stabilization to zero for solutions of the Cauchy problem for linear parabolic second-order equations with increasing principal coefficients and initial-value functions growing at infinity as a power function.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-07, Vol.239 (6), p.788-801
1. Verfasser: Denisov, V. N.
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Mathematical analysis
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We investigate sufficient conditions of the stabilization to zero for solutions of the Cauchy problem for linear parabolic second-order equations with increasing principal coefficients and initial-value functions growing at infinity as a power function.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04326-6