Differential and Integral Equations

Semilinear differential and integrodifferential equations with Hille-Yosida operators

Eugenio Sinestrari

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Abstract

Existence and uniqueness of weak and strong solutions for semilinear differential and integrodifferential abstract equations with a Hille-Yosida operator are proved together with criteria for the global existence of the solutions. An application is given to a semilinear one-dimensional wave equation.

Article information

Source
Differential Integral Equations, Volume 23, Number 1/2 (2010), 1-30.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019384

Mathematical Reviews number (MathSciNet)
MR2588799

Zentralblatt MATH identifier
1240.35570

Subjects
Primary: 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] 35L05: Wave equation 35L90: Abstract hyperbolic equations

Citation

Sinestrari, Eugenio. Semilinear differential and integrodifferential equations with Hille-Yosida operators. Differential Integral Equations 23 (2010), no. 1/2, 1--30. https://projecteuclid.org/euclid.die/1356019384


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