The critical exponent for semilinear wave equations with damped oscillations

Abstract We determine the existence exponent for the global small data solutions for a class of evolution equations with power nonlinearity under the effect of a dissipation that dampens the oscillations at low frequencies and produce overdamping at high frequencies.

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Publication Details

Journal
ANNALI DELL UNIVERSITA DI FERRARA
Published
2026-09-30
DOI
https://doi.org/10.1007/s11565-026-00767-5
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

The critical exponent for semilinear wave equations with damped oscillations

Marcello D’Abbicco
ANNALI DELL UNIVERSITA DI FERRARA
Advanced Mathematical Physics Problems
article

The critical exponent for semilinear wave equations with damped oscillations

Marcello D’Abbicco
article en

Abstract

Abstract We determine the existence exponent for the global small data solutions for a class of evolution equations with power nonlinearity under the effect of a dissipation that dampens the oscillations at low frequencies and produce overdamping at high frequencies.

ANNALI DELL UNIVERSITA DI FERRARAVol. 72(4)
Openalex Percentile: Top 6%
Advanced Mathematical Physics Problems
DOIOpen Access PDFOpenAlex
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The critical exponent for semilinear wave equations with damped oscillations — Marcello D’Abbicco · ANNALI DELL UNIVERSITA DI FERRARA (2026) | TGRS Research Map | TGRS