Dichotomy of Linear Partial Differential Equations of Neutral Type in Banach Spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09864-1
Abstract: This present paper is mainly devoted to investigate the property of spectral decomposition of neutral differential equations in infinite dimensional setting, that is the exponential dichotomy. In fact, we prove that the exponential dichotomy of… read more here.
Keywords: partial differential; dichotomy linear; neutral type; equations neutral ... See more keywords
The identity G(D)f = F for a linear partial differential operator G(D). Lusin type and structure results in the non-integrable case
Sign Up to like & getrecommendations! Published in 2020 at "Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1017/prm.2020.85
Abstract: We prove a Lusin type theorem for a certain class of linear partial differential operators G(D), reducing to [1, Theorem 1] when G(D) is the gradient. Moreover, we describe the structure of the set {G(D)f = F},… read more here.
Keywords: type; linear partial; partial differential; lusin type ... See more keywords