Wang, Yulan; Winkler, Michael An interpolation inequality involving \(L \log L\) spaces and application to the characterization of blow-up behavior in a two-dimensional Keller-Segel-Navier-Stokes system. (English) Zbl 07825019 J. Lond. Math. Soc., II. Ser. 109, No. 3, Article ID e12885, 33 p. (2024). MSC: 26D10 35B44 35B40 92C17 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{M. Winkler}, J. Lond. Math. Soc., II. Ser. 109, No. 3, Article ID e12885, 33 p. (2024; Zbl 07825019) Full Text: DOI OA License
Brigati, Giovanni; Dolbeault, Jean; Simonov, Nikita On Gaussian interpolation inequalities. (Sur des inégalités d’interpolation Gaussiennes.) (English. French summary) Zbl 07816874 C. R., Math., Acad. Sci. Paris 362, 21-44 (2024). MSC: 26D10 46T12 46E35 39B62 43A90 49J40 58E35 PDFBibTeX XMLCite \textit{G. Brigati} et al., C. R., Math., Acad. Sci. Paris 362, 21--44 (2024; Zbl 07816874) Full Text: DOI arXiv
Biswas, Chetna; Das, Subir; Singh, Anup; Altenbach, Holm Solution of variable-order partial integro-differential equation using Legendre wavelet approximation and operational matrices. (English) Zbl 07824457 ZAMM, Z. Angew. Math. Mech. 103, No. 2, Article ID e202200222, 16 p. (2023). MSC: 65M70 65T60 65D32 42C10 65M22 35R09 45K05 26A33 35R11 76S05 86A05 PDFBibTeX XMLCite \textit{C. Biswas} et al., ZAMM, Z. Angew. Math. Mech. 103, No. 2, Article ID e202200222, 16 p. (2023; Zbl 07824457) Full Text: DOI
Dolbeault, Jean; Zhang, An Parabolic methods for ultraspherical interpolation inequalities. (English) Zbl 1518.58014 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1347-1365 (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J35 26D10 35K65 47D07 35B65 53C21 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{A. Zhang}, Discrete Contin. Dyn. Syst. 43, No. 3--4, 1347--1365 (2023; Zbl 1518.58014) Full Text: DOI arXiv
Bonforte, Matteo; Dolbeault, Jean; Nazaret, Bruno; Simonov, Nikita Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations. (English) Zbl 07700753 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1070-1089 (2023). MSC: 26D10 46E35 35K55 35B40 49K20 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1070--1089 (2023; Zbl 07700753) Full Text: DOI arXiv
Adamczak, Radosław; Polaczyk, Bartłomiej; Strzelecki, Michał Modified log-Sobolev inequalities, Beckner inequalities and moment estimates. (English) Zbl 1489.60028 J. Funct. Anal. 282, No. 7, Article ID 109349, 76 p. (2022). Reviewer: Carlo Sempi (Lecce) MSC: 60E15 60J25 60J27 46E35 46E39 26D10 PDFBibTeX XMLCite \textit{R. Adamczak} et al., J. Funct. Anal. 282, No. 7, Article ID 109349, 76 p. (2022; Zbl 1489.60028) Full Text: DOI arXiv
Daus, Esther S.; Ptashnyk, Mariya; Raithel, Claudia Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise. (English) Zbl 1502.35177 J. Differ. Equations 309, 386-426 (2022). MSC: 35Q92 92B05 60G60 60J60 60G51 60G22 35B65 35A01 35A02 47H10 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{E. S. Daus} et al., J. Differ. Equations 309, 386--426 (2022; Zbl 1502.35177) Full Text: DOI arXiv
Dolbeault, Jean Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results. (English) Zbl 1481.35006 Milan J. Math. 89, No. 2, 355-386 (2021). MSC: 35-02 35A23 26D10 35B06 35J60 35K55 46B70 46E35 49J40 49K20 49K30 53C21 PDFBibTeX XMLCite \textit{J. Dolbeault}, Milan J. Math. 89, No. 2, 355--386 (2021; Zbl 1481.35006) Full Text: DOI arXiv
El-Nabulsi, Rami Ahmad; Anukool, Waranont A mapping from Schrödinger equation to Navier-Stokes equations through the product-like fractal geometry, fractal time derivative operator and variable thermal conductivity. (A mapping from Schrodinger equation to Navier-Stokes equations through the product-like fractal geometry, fractal time derivative operator and variable thermal conductivity.) (English) Zbl 1502.35078 Acta Mech. 232, No. 12, 5031-5039 (2021). MSC: 35Q30 35Q55 28A80 26A33 76D05 76Y05 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi} and \textit{W. Anukool}, Acta Mech. 232, No. 12, 5031--5039 (2021; Zbl 1502.35078) Full Text: DOI
Zhang, Qifeng; Hesthaven, Jan S.; Sun, Zhi-zhong; Ren, Yunzhu Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. (English) Zbl 1480.65230 Adv. Comput. Math. 47, No. 3, Paper No. 35, 33 p. (2021). MSC: 65M06 65M12 65M15 26A33 35R11 35Q56 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Adv. Comput. Math. 47, No. 3, Paper No. 35, 33 p. (2021; Zbl 1480.65230) Full Text: DOI Link
Kondratyev, Stanislav; Vorotnikov, Dmitry Convex Sobolev inequalities related to unbalanced optimal transport. (English) Zbl 1437.26021 J. Differ. Equations 268, No. 7, 3705-3724 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 26D10 35B40 35K57 49Q20 58B20 PDFBibTeX XMLCite \textit{S. Kondratyev} and \textit{D. Vorotnikov}, J. Differ. Equations 268, No. 7, 3705--3724 (2020; Zbl 1437.26021) Full Text: DOI arXiv
Kondratyev, Stanislav; Vorotnikov, Dmitry Nonlinear Fokker-Planck equations with reaction as gradient flows of the free energy. (English) Zbl 1430.49049 J. Funct. Anal. 278, No. 2, Article ID 108310, 40 p. (2020). MSC: 49Q20 26D10 35Q84 58B20 35D30 92D25 PDFBibTeX XMLCite \textit{S. Kondratyev} and \textit{D. Vorotnikov}, J. Funct. Anal. 278, No. 2, Article ID 108310, 40 p. (2020; Zbl 1430.49049) Full Text: DOI arXiv
Carrillo, José A.; Delgadino, Matías G.; Dolbeault, Jean; Frank, Rupert L.; Hoffmann, Franca Reverse Hardy-Littlewood-Sobolev inequalities. (English. French summary) Zbl 1442.35011 J. Math. Pures Appl. (9) 132, 133-165 (2019). Reviewer: Shuangjie Peng (Wuhan) MSC: 35A23 26D15 35K55 46E35 49J40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Math. Pures Appl. (9) 132, 133--165 (2019; Zbl 1442.35011) Full Text: DOI arXiv
Kondratyev, Stanislav; Vorotnikov, Dmitry Spherical Hellinger-Kantorovich gradient flows. (English) Zbl 1428.35602 SIAM J. Math. Anal. 51, No. 3, 2053-2084 (2019). MSC: 35Q84 26D10 49Q20 58B20 PDFBibTeX XMLCite \textit{S. Kondratyev} and \textit{D. Vorotnikov}, SIAM J. Math. Anal. 51, No. 3, 2053--2084 (2019; Zbl 1428.35602) Full Text: DOI arXiv
Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry A new multicomponent Poincaré-Beckner inequality. (English) Zbl 1360.26016 J. Funct. Anal. 272, No. 8, 3281-3310 (2017). Reviewer: George Stoica (Saint John) MSC: 26D10 49Q20 52B11 58B20 PDFBibTeX XMLCite \textit{S. Kondratyev} et al., J. Funct. Anal. 272, No. 8, 3281--3310 (2017; Zbl 1360.26016) Full Text: DOI arXiv
Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1361.35075 Kinet. Relat. Models 10, No. 1, 33-59 (2017). MSC: 35K55 46E35 49K30 26D10 49K20 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Kinet. Relat. Models 10, No. 1, 33--59 (2017; Zbl 1361.35075) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Jankowiak, Gaspard The Moser-Trudinger-Onofri inequality. (English) Zbl 1347.46024 Chin. Ann. Math., Ser. B 36, No. 5, 777-802 (2015). MSC: 46E35 26D10 35K55 58J60 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Chin. Ann. Math., Ser. B 36, No. 5, 777--802 (2015; Zbl 1347.46024) Full Text: DOI arXiv
Carrillo, J. A.; Huang, Y.; Santos, M. C.; Vázquez, J. L. Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure. (English) Zbl 1307.35311 J. Differ. Equations 258, No. 3, 736-763 (2015). MSC: 35R11 35K55 35K65 26A33 76S05 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Differ. Equations 258, No. 3, 736--763 (2015; Zbl 1307.35311) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael Nonlinear flows and rigidity results on compact manifolds. (English) Zbl 1294.58005 J. Funct. Anal. 267, No. 5, 1338-1363 (2014). MSC: 58J35 35J60 26D10 53C21 58J60 46E35 58E35 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Funct. Anal. 267, No. 5, 1338--1363 (2014; Zbl 1294.58005) Full Text: DOI arXiv
Dolbeault, Jean; Toscani, Giuseppe Improved interpolation inequalities, relative entropy and fast diffusion equations. (English) Zbl 1450.46020 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 917-934 (2013). MSC: 46E35 26D10 35K55 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{G. Toscani}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 917--934 (2013; Zbl 1450.46020) Full Text: DOI arXiv
Mayorga-Zambrano, J.; Salinas, Z. Sobolev-like cones of trace-class operators on unbounded domains: interpolation inequalities and compactness properties. (English) Zbl 1283.81066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 93, 78-89 (2013). MSC: 81Q10 82B10 26D15 35J10 35P10 47B34 PDFBibTeX XMLCite \textit{J. Mayorga-Zambrano} and \textit{Z. Salinas}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 93, 78--89 (2013; Zbl 1283.81066) Full Text: DOI
Dolbeault, J.; Felmer, P.; Mayorga-Zambrano, J. Compactness properties for trace-class operators and applications to quantum mechanics. (English) Zbl 1151.81014 Monatsh. Math. 155, No. 1, 43-66 (2008). MSC: 81Q10 82B10 26D15 35J10 47B34 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Monatsh. Math. 155, No. 1, 43--66 (2008; Zbl 1151.81014) Full Text: DOI Link
Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu \(L^q\)-functional inequalities and weighted porous media equations. (English) Zbl 1148.26018 Potential Anal. 28, No. 1, 35-59 (2008). Reviewer: Wei Nian Li (Binzhou) MSC: 26D10 35K55 39B62 46E27 46E35 60E15 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Potential Anal. 28, No. 1, 35--59 (2008; Zbl 1148.26018) Full Text: DOI arXiv
Bartier, Jean-Philippe; Dolbeault, Jean; Illner, Reinhard; Kowalczyk, Michał A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. (English) Zbl 1117.35030 Math. Models Methods Appl. Sci. 17, No. 3, 327-362 (2007). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35K10 26D10 35K15 35K20 35K65 46E35 47J20 PDFBibTeX XMLCite \textit{J.-P. Bartier} et al., Math. Models Methods Appl. Sci. 17, No. 3, 327--362 (2007; Zbl 1117.35030) Full Text: DOI
Arnold, Anton; Dolbeault, Jean Refined convex Sobolev inequalities. (English) Zbl 1087.35018 J. Funct. Anal. 225, No. 2, 337-351 (2005). Reviewer: Denise Huet (Nancy) MSC: 35B45 26D10 46E35 PDFBibTeX XMLCite \textit{A. Arnold} and \textit{J. Dolbeault}, J. Funct. Anal. 225, No. 2, 337--351 (2005; Zbl 1087.35018) Full Text: DOI Link
Del Pino, Manuel; Dolbeault, Jean Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the \(p\)-Laplacian. (English. Abridged French version) Zbl 1090.35096 C. R., Math., Acad. Sci. Paris 334, No. 5, 365-370 (2002). MSC: 35K55 26D10 46E35 PDFBibTeX XMLCite \textit{M. Del Pino} and \textit{J. Dolbeault}, C. R., Math., Acad. Sci. Paris 334, No. 5, 365--370 (2002; Zbl 1090.35096) Full Text: DOI