On linear higher-order parabolic equations in Morrey spaces
Loading...
Official URL
Full text at PDC
Publication date
2023
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publishing
Citations
Exportar
Citation
Cholewa, J. W., & Rodríguez-Bernal, A. (2023). On linear higher-order parabolic equations in Morrey spaces. Analysis And Applications, 21(06), 1561-1608. https://doi.org/10.1142/s0219530523500161
Abstract
In this paper, linear higher-order parabolic equation is shown to define a semigroup in Morrey spaces. For higher-order diffusion equation, the associated semigroup is proved analytic and sharp semigroup estimates in Morrey scale are derived. The analysis also includes semigroups in Morrey scale related to solving linear higher-order fractional diffusion equations.