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On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞.

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Authors and Affiliations

  1. Hanoi Pedagogic Institute, Vietnam

    Tran Thi Loan &  Nguyen Manh Hung

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  1. Tran Thi Loan
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  2. Nguyen Manh Hung
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Tran Thi Loan, Nguyen Manh Hung On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations. Ukrainian Mathematical Journal 54, 2080–2087 (2002). https://doi.org/10.1023/A:1024093803153

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  • DOI: https://doi.org/10.1023/A:1024093803153

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