Well-Posedness of Third Order Degenerate Differential Equations with Finite Delay in Banach Spaces
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DOI: 10.1007/s00025-021-01376-8
Abstract: In this paper, we give necessary and sufficient conditions for the $$L^p$$ -well-posedness (resp. $$B_{p,q}^s$$ -well-posedness) for the third order degenerate differential equation with finite delay: $$(Mu)'''(t) + (Nu)''(t)= Au(t) + Bu'(t) + Gu''_t +… read more here.
Keywords: order degenerate; degenerate differential; finite delay; well posedness ... See more keywords
Well-posedness of Third Order Differential Equations in Hölder Continuous Function Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s0008439518000048
Abstract: Abstract In this paper, by using operator-valued ${\dot{C}}^{\unicode[STIX]{x1D6FC}}$ -Fourier multiplier results on vector-valued Hölder continuous function spaces, we give a characterization of the $C^{\unicode[STIX]{x1D6FC}}$ -well-posedness for the third order differential equations $au^{\prime \prime \prime }(t)+u^{\prime… read more here.
Keywords: continuous function; function spaces; lder continuous; prime prime ... See more keywords