The Cauchy problem for <i>p</i>-evolution equations with variable coefficients in Gevrey classes
We study the Cauchy problem for a class of linear evolution equations of arbitrary order with coefficients depending both on time and space variables. Under suitable decay assumptions on the coefficients of the lower-order terms for $ |x| $ large, we prove a result of well-posedness in Gevrey-type spaces.
Authors
- Marco Cappiello (ORCID: https://orcid.org/0000-0003-3722-1950)
- Eliakim Cleyton Machado
- Alessia Ascanelli (ORCID: https://orcid.org/0000-0002-1957-8991)
- Alexandre Arias (ORCID: https://orcid.org/0000-0003-4257-4873)
Institutions
- Collegio Carlo Alberto (IT)
- University of Ferrara (IT)
- Universidade Federal do Paraná (BR)
Publication Details
- Journal
- Evolution equations and control theory
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/eect.2025032
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Conselho Nacional de Desenvolvimento Científico e Tecnológico