Chen, Yuting; Fan, Zhenbin Novel interpolation spaces and maximal-weighted Hölder regularity results for the fractional abstract Cauchy problem. (English) Zbl 07819206 Math. Nachr. 297, No. 2, 560-576 (2024). MSC: 34G10 35B65 46B70 47A10 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Fan}, Math. Nachr. 297, No. 2, 560--576 (2024; Zbl 07819206) Full Text: DOI
Agresti, Antonio; Lindemulder, Nick; Veraar, Mark On the trace embedding and its applications to evolution equations. (English) Zbl 07747160 Math. Nachr. 296, No. 4, 1319-1350 (2023). MSC: 46E35 35B65 35K90 45N05 46E40 47D06 60H15 PDFBibTeX XMLCite \textit{A. Agresti} et al., Math. Nachr. 296, No. 4, 1319--1350 (2023; Zbl 07747160) Full Text: DOI arXiv OA License
Kim, Kyeong-Hun; Park, Daehan; Ryu, Junhee A Sobolev space theory for the stochastic partial differential equations with space-time non-local operators. (English) Zbl 1492.60188 J. Evol. Equ. 22, No. 3, Paper No. 57, 57 p. (2022). MSC: 60H15 35R60 26A33 47G20 60H40 46E35 PDFBibTeX XMLCite \textit{K.-H. Kim} et al., J. Evol. Equ. 22, No. 3, Paper No. 57, 57 p. (2022; Zbl 1492.60188) Full Text: DOI arXiv
Alam, Md. Mansur; Dubey, Shruti Strict Hölder regularity for fractional order abstract degenerate differential equations. (English) Zbl 1485.34021 Ann. Funct. Anal. 13, No. 1, Paper No. 4, 29 p. (2022). Reviewer: Marko Kostić (Novi Sad) MSC: 34A08 34G25 34A09 46B70 PDFBibTeX XMLCite \textit{Md. M. Alam} and \textit{S. Dubey}, Ann. Funct. Anal. 13, No. 1, Paper No. 4, 29 p. (2022; Zbl 1485.34021) Full Text: DOI
Alam, Md Mansur; Dubey, Shruti; Baleanu, Dumitru New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem. (English) Zbl 1497.34006 Bound. Value Probl. 2021, Paper No. 82, 18 p. (2021). Reviewer: Marko Kostić (Novi Sad) MSC: 34A08 34G10 34A12 46B70 PDFBibTeX XMLCite \textit{M. M. Alam} et al., Bound. Value Probl. 2021, Paper No. 82, 18 p. (2021; Zbl 1497.34006) Full Text: DOI
Diekmann, O.; Verduyn Lunel, S. M. Twin semigroups and delay equations. (English) Zbl 1472.34120 J. Differ. Equations 286, 332-410 (2021). Reviewer: Anatoli F. Ivanov (Lehman) MSC: 34K05 46G10 47D06 26A42 PDFBibTeX XMLCite \textit{O. Diekmann} and \textit{S. M. Verduyn Lunel}, J. Differ. Equations 286, 332--410 (2021; Zbl 1472.34120) Full Text: DOI arXiv
Lindemulder, Nick Difference norms for vector-valued Bessel potential spaces with an application to pointwise multipliers. (English) Zbl 1365.46031 J. Funct. Anal. 272, No. 4, 1435-1476 (2017). Reviewer: George O. Okikiolu (London) MSC: 46E40 42B15 46B09 46E30 46E35 PDFBibTeX XMLCite \textit{N. Lindemulder}, J. Funct. Anal. 272, No. 4, 1435--1476 (2017; Zbl 1365.46031) Full Text: DOI arXiv
Murakami, Satoru; Ngoc, Pham Huu Anh On stability and robust stability of positive linear Volterra equations in Banach lattices. (English) Zbl 1218.45013 Cent. Eur. J. Math. 8, No. 5, 966-984 (2010). Reviewer: Kun Soo Chang (Seoul) MSC: 45N05 45M10 45J05 47D06 45D05 45M20 46B42 PDFBibTeX XMLCite \textit{S. Murakami} and \textit{P. H. A. Ngoc}, Cent. Eur. J. Math. 8, No. 5, 966--984 (2010; Zbl 1218.45013) Full Text: DOI
Bu, Shang Quan Well-posedness of equations with fractional derivative. (English) Zbl 1213.47046 Acta Math. Sin., Engl. Ser. 26, No. 7, 1223-1232 (2010). Reviewer: Dashan Fan (Milwaukee) MSC: 47D06 47A10 46J15 34K30 42A45 26A33 PDFBibTeX XMLCite \textit{S. Q. Bu}, Acta Math. Sin., Engl. Ser. 26, No. 7, 1223--1232 (2010; Zbl 1213.47046) Full Text: DOI
Grabiner, Sandy Homomorphisms of the algebra of locally integrable functions on the half line. (English) Zbl 1116.43003 J. Aust. Math. Soc. 81, No. 2, 253-278 (2006). Reviewer: Ahmed I. Zayed (Chicago) MSC: 43A22 46J40 46J45 43A20 43A10 PDFBibTeX XMLCite \textit{S. Grabiner}, J. Aust. Math. Soc. 81, No. 2, 253--278 (2006; Zbl 1116.43003) Full Text: DOI
Bu, Shangquan; Chill, Ralph A remark about the interpolation of spaces of continuous, vector-valued functions. (English) Zbl 1063.47031 J. Math. Anal. Appl. 288, No. 1, 246-250 (2003). Reviewer: W. D. Evans (Cardiff) MSC: 47D06 46M35 PDFBibTeX XMLCite \textit{S. Bu} and \textit{R. Chill}, J. Math. Anal. Appl. 288, No. 1, 246--250 (2003; Zbl 1063.47031) Full Text: DOI
Wang, Y. G.; Oberguggenberger, M. Nonlinear parabolic equations with regularized derivatives. (English) Zbl 0926.35055 J. Math. Anal. Appl. 233, No. 2, 644-658 (1999). Reviewer: Manfred Möller (Johannesburg) MSC: 35K55 65M99 65N99 46F10 35D05 PDFBibTeX XMLCite \textit{Y. G. Wang} and \textit{M. Oberguggenberger}, J. Math. Anal. Appl. 233, No. 2, 644--658 (1999; Zbl 0926.35055) Full Text: DOI
de Pagter, Ben; Schep, Anton R. Diagonals of positive semigroups. (English) Zbl 0905.47029 Integral Equations Oper. Theory 27, No. 4, 446-472 (1997). MSC: 47D06 47B65 47D03 46B42 PDFBibTeX XMLCite \textit{B. de Pagter} and \textit{A. R. Schep}, Integral Equations Oper. Theory 27, No. 4, 446--472 (1997; Zbl 0905.47029) Full Text: DOI
Engler, Hans Contractive properties for the heat equation in Sobolev spaces. (English) Zbl 0577.46037 J. Funct. Anal. 64, 412-435 (1985). MSC: 46E35 35K05 47D03 PDFBibTeX XMLCite \textit{H. Engler}, J. Funct. Anal. 64, 412--435 (1985; Zbl 0577.46037) Full Text: DOI
Staffans, Olof J. Tauberian theorems for a positive definite form, with applications to a Volterra equation. (English) Zbl 0329.45002 Trans. Am. Math. Soc. 218, 239-259 (1976). MSC: 45D05 45J05 45M05 42A82 46F10 PDFBibTeX XMLCite \textit{O. J. Staffans}, Trans. Am. Math. Soc. 218, 239--259 (1976; Zbl 0329.45002) Full Text: DOI
Leitman, M. J.; Mizel, V. J. On fading memory spaces and hereditary integral equations. (English) Zbl 0297.45001 Arch. Ration. Mech. Anal. 55, 18-51 (1974). MSC: 45G10 45D05 46E30 39B05 PDFBibTeX XMLCite \textit{M. J. Leitman} and \textit{V. J. Mizel}, Arch. Ration. Mech. Anal. 55, 18--51 (1974; Zbl 0297.45001) Full Text: DOI