Well-posedness for the reaction-diffusion equation with temperature in a critical Besov space
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2022.04.009
Abstract: We derive a model for the non-isothermal reaction-diffusion equation. Combining ideas from non-equilibrium thermodynamics with the energetic variational approach we obtain a general system modeling the evolution of a non-isothermal chemical reaction with general mass… read more here.
Keywords: reaction diffusion; reaction; besov space; critical besov ... See more keywords
On optimal approximation in periodic Besov spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.02.027
Abstract: Abstract We work with spaces of periodic functions on the d-dimensional torus. We show that estimates for L ∞ -approximation of Sobolev functions remain valid when we replace L ∞ by the isotropic periodic Besov… read more here.
Keywords: besov spaces; approximation periodic; besov space; besov ... See more keywords
Equivalent Characterization on Besov Space
Sign Up to like & getrecommendations! Published in 2021 at "Abstract and Applied Analysis"
DOI: 10.1155/2021/6688250
Abstract: In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm. Fourier multiplier, real interpolation, and Littlewood-Paley decomposition are applied. read more here.
Keywords: equivalent characterization; besov space; characterization besov;