Differential and Integral Equations

Stability for a class of semilinear parabolic equations

Anna Buttu

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Abstract

We state a global existence and decay result for a class of semilinear evolution equations in a Banach space. The result is applied to semilinear parabolic equations of second and fourth order in $[0, \infty)\times \Bbb R^n.$

Article information

Source
Differential Integral Equations, Volume 8, Number 5 (1995), 1145-1156.

Dates
First available in Project Euclid: 20 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1369056048

Mathematical Reviews number (MathSciNet)
MR1325550

Zentralblatt MATH identifier
0824.34071

Subjects
Primary: 34G20: Nonlinear equations [See also 47Hxx, 47Jxx]
Secondary: 34D99: None of the above, but in this section 35B35: Stability 35K55: Nonlinear parabolic equations

Citation

Buttu, Anna. Stability for a class of semilinear parabolic equations. Differential Integral Equations 8 (1995), no. 5, 1145--1156. https://projecteuclid.org/euclid.die/1369056048


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