Rodríguez Bernal, AníbalCholewa, Jan W.2023-11-162023-11-162023Cholewa, 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/s02195305235001610219-530510.1142/S0219530523500161https://hdl.handle.net/20.500.14352/88748In 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.enghttp://creativecommons.org/licenses/by/4.0/journal articlehttps://doi.org/10.1142/S0219530523500161restricted access517.98Semigroups and linear differential equationsFractional diffusion equationsHigher-order parabolic equationsAnálisis funcional y teoría de operadores1202 Análisis y Análisis Funcional