Analyticity in space-time of solutions to evolution equations with multilinear operators based on maximal regularity

Space-time analyticity for evolution equations with nonlinear term represented by multilinear operators is considered via the parameter trick. By extending the case of bilinear operators in the previous work, we obtain space-time analyticity for the equations of Fujita type.

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Publication Details

Journal
Differential and Integral Equations
Published
2025-05-05
DOI
https://doi.org/10.57262/die038-0708-509
Primary Topic
advanced mathematical theories
Type
article
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article

Analyticity in space-time of solutions to evolution equations with multilinear operators based on maximal regularity

K. Noda
Differential and Integral Equations
advanced mathematical theories
article

Analyticity in space-time of solutions to evolution equations with multilinear operators based on maximal regularity

K. Noda
article en

Abstract

Space-time analyticity for evolution equations with nonlinear term represented by multilinear operators is considered via the parameter trick. By extending the case of bilinear operators in the previous work, we obtain space-time analyticity for the equations of Fujita type.

Differential and Integral EquationsVol. 38(7/8)
Openalex Percentile: Top 85%
advanced mathematical theories
DOISourceOpenAlex
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Analyticity in space-time of solutions to evolution equations with multilinear operators based on maximal regularity — K. Noda · Differential and Integral Equations (2025) | TGRS Research Map | TGRS