Chiarini, Alberto; Conforti, Giovanni; Greco, Giacomo; Tamanini, Luca Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability. (English) Zbl 1525.49033 Commun. Partial Differ. Equations 48, No. 6, 895-943 (2023). MSC: 49Q22 60E15 34K20 47D07 53C21 PDFBibTeX XMLCite \textit{A. Chiarini} et al., Commun. Partial Differ. Equations 48, No. 6, 895--943 (2023; Zbl 1525.49033) Full Text: DOI arXiv
Kroemer, Milan; Laux, Tim The Hele-Shaw flow as the sharp interface limit of the Cahn-Hilliard equation with disparate mobilities. (English) Zbl 1510.35025 Commun. Partial Differ. Equations 47, No. 12, 2444-2486 (2022). Reviewer: Michał Kowalczyk (Santiago) MSC: 35B25 35K58 35B35 35K35 35K65 76D27 82C26 PDFBibTeX XMLCite \textit{M. Kroemer} and \textit{T. Laux}, Commun. Partial Differ. Equations 47, No. 12, 2444--2486 (2022; Zbl 1510.35025) Full Text: DOI arXiv
Bredies, Kristian; Carioni, Marcello; Fanzon, Silvio A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients. (English) Zbl 1518.35226 Commun. Partial Differ. Equations 47, No. 10, 2023-2069 (2022). MSC: 35F05 28A50 35C15 35L03 65J20 PDFBibTeX XMLCite \textit{K. Bredies} et al., Commun. Partial Differ. Equations 47, No. 10, 2023--2069 (2022; Zbl 1518.35226) Full Text: DOI arXiv
Griffin-Pickering, Megan; Iacobelli, Mikaela Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus. (English) Zbl 1478.35205 Commun. Partial Differ. Equations 46, No. 10, 1892-1939 (2021). MSC: 35Q83 35Q60 35Q20 76X05 82D10 35A01 35A02 PDFBibTeX XMLCite \textit{M. Griffin-Pickering} and \textit{M. Iacobelli}, Commun. Partial Differ. Equations 46, No. 10, 1892--1939 (2021; Zbl 1478.35205) Full Text: DOI arXiv
Lewin, Mathieu; Sabin, Julien The Hartree and Vlasov equations at positive density. (English) Zbl 1462.35398 Commun. Partial Differ. Equations 45, No. 12, 1702-1754 (2020). MSC: 35Q83 35Q40 35A01 35A02 81Q05 PDFBibTeX XMLCite \textit{M. Lewin} and \textit{J. Sabin}, Commun. Partial Differ. Equations 45, No. 12, 1702--1754 (2020; Zbl 1462.35398) Full Text: DOI arXiv
Spener, Adrian; Weber, Frederic; Zacher, Rico The fractional Laplacian has infinite dimension. (English) Zbl 1427.35338 Commun. Partial Differ. Equations 45, No. 1, 57-75 (2020). MSC: 35R11 47D07 35B65 60G22 PDFBibTeX XMLCite \textit{A. Spener} et al., Commun. Partial Differ. Equations 45, No. 1, 57--75 (2020; Zbl 1427.35338) Full Text: DOI arXiv
Laurençot, Philippe Mass-conserving self-similar solutions to coagulation-fragmentation equations. (English) Zbl 1425.45006 Commun. Partial Differ. Equations 44, No. 9, 773-800 (2019). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 45K05 PDFBibTeX XMLCite \textit{P. Laurençot}, Commun. Partial Differ. Equations 44, No. 9, 773--800 (2019; Zbl 1425.45006) Full Text: DOI arXiv
Alonso, Ricardo Emergence of exponentially weighted \(L^p\)-norms and Sobolev regularity for the Boltzmann equation. (English) Zbl 1507.35054 Commun. Partial Differ. Equations 44, No. 5, 416-446 (2019). MSC: 35B45 35B65 35Q20 PDFBibTeX XMLCite \textit{R. Alonso}, Commun. Partial Differ. Equations 44, No. 5, 416--446 (2019; Zbl 1507.35054) Full Text: DOI
Carrillo, José Antonio; Grunert, Katrin; Holden, Helge A Lipschitz metric for the Hunter-Saxton equation. (English) Zbl 1420.35305 Commun. Partial Differ. Equations 44, No. 4, 309-334 (2019). Reviewer: Jonathan Eckhardt (Loughborough) MSC: 35Q53 35B35 35B60 35D30 35R09 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Commun. Partial Differ. Equations 44, No. 4, 309--334 (2019; Zbl 1420.35305) Full Text: DOI arXiv
Lavenant, Hugo; Santambrogio, Filippo Optimal density evolution with congestion: \(L^\infty \) bounds via flow interchange techniques and applications to variational mean field games. (English) Zbl 1414.49026 Commun. Partial Differ. Equations 43, No. 12, 1761-1802 (2018). MSC: 49K20 35Q91 49J20 49N90 49N60 49Q20 PDFBibTeX XMLCite \textit{H. Lavenant} and \textit{F. Santambrogio}, Commun. Partial Differ. Equations 43, No. 12, 1761--1802 (2018; Zbl 1414.49026) Full Text: DOI arXiv
Roidos, Nikolaos; Schrohe, Elmar Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities. (English) Zbl 1409.35122 Commun. Partial Differ. Equations 43, No. 10, 1456-1484 (2018). MSC: 35K59 35K65 35R01 PDFBibTeX XMLCite \textit{N. Roidos} and \textit{E. Schrohe}, Commun. Partial Differ. Equations 43, No. 10, 1456--1484 (2018; Zbl 1409.35122) Full Text: DOI arXiv
Feireisl, Eduard; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka On weak solutions to the 2D Savage-Hutter model of the motion of a gravity-driven avalanche flow. (English) Zbl 1346.35196 Commun. Partial Differ. Equations 41, No. 5, 759-773 (2016). MSC: 35Q86 35L60 35D30 76B15 86A05 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Commun. Partial Differ. Equations 41, No. 5, 759--773 (2016; Zbl 1346.35196) Full Text: DOI
Gomez, Christophe; Pinaud, Olivier; Ryzhik, Lenya Hypoelliptic estimates in radiative transfer. (English) Zbl 1342.35206 Commun. Partial Differ. Equations 41, No. 1, 150-184 (2016). MSC: 35Q20 35F10 35H10 35B65 35Q41 82C70 PDFBibTeX XMLCite \textit{C. Gomez} et al., Commun. Partial Differ. Equations 41, No. 1, 150--184 (2016; Zbl 1342.35206) Full Text: DOI
Wu, Lijiang; Slepčev, Dejan Nonlocal interaction equations in environments with heterogeneities and boundaries. (English) Zbl 1327.35057 Commun. Partial Differ. Equations 40, No. 7, 1241-1281 (2015). MSC: 35D30 45K05 49K20 92D50 PDFBibTeX XMLCite \textit{L. Wu} and \textit{D. Slepčev}, Commun. Partial Differ. Equations 40, No. 7, 1241--1281 (2015; Zbl 1327.35057) Full Text: DOI
McCann, Robert J.; Seis, Christian The spectrum of a family of fourth-order nonlinear diffusions near the global attractor. (English) Zbl 1323.35062 Commun. Partial Differ. Equations 40, No. 2, 191-218 (2015). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K25 35K65 35B40 35C20 PDFBibTeX XMLCite \textit{R. J. McCann} and \textit{C. Seis}, Commun. Partial Differ. Equations 40, No. 2, 191--218 (2015; Zbl 1323.35062) Full Text: DOI arXiv
Bolley, François; Carrillo, José A. Nonlinear diffusion: geodesic convexity is equivalent to Wasserstein contraction. (English) Zbl 1404.35266 Commun. Partial Differ. Equations 39, No. 10, 1860-1869 (2014). MSC: 35K59 35R11 35B05 35K15 37D40 76S05 PDFBibTeX XMLCite \textit{F. Bolley} and \textit{J. A. Carrillo}, Commun. Partial Differ. Equations 39, No. 10, 1860--1869 (2014; Zbl 1404.35266) Full Text: DOI arXiv
Kim, Young-Heon; Kitagawa, Jun On the degeneracy of optimal transportation. (English) Zbl 1304.49093 Commun. Partial Differ. Equations 39, No. 7, 1329-1363 (2014). MSC: 49Q20 35J96 PDFBibTeX XMLCite \textit{Y.-H. Kim} and \textit{J. Kitagawa}, Commun. Partial Differ. Equations 39, No. 7, 1329--1363 (2014; Zbl 1304.49093) Full Text: DOI arXiv
Cañizo, José A.; Desvillettes, Laurent; Fellner, Klemens Improved duality estimates and applications to reaction-diffusion equations. (English) Zbl 1295.35142 Commun. Partial Differ. Equations 39, No. 6, 1185-1204 (2014). MSC: 35B45 35B40 35K57 35K51 PDFBibTeX XMLCite \textit{J. A. Cañizo} et al., Commun. Partial Differ. Equations 39, No. 6, 1185--1204 (2014; Zbl 1295.35142) Full Text: DOI arXiv Link
Campos, Juan F.; Dolbeault, Jean Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane. (English) Zbl 1297.35032 Commun. Partial Differ. Equations 39, No. 5, 806-841 (2014). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35K15 92C17 35K58 35R09 35C06 PDFBibTeX XMLCite \textit{J. F. Campos} and \textit{J. Dolbeault}, Commun. Partial Differ. Equations 39, No. 5, 806--841 (2014; Zbl 1297.35032) Full Text: DOI arXiv
Cullen, M. J. P.; Gilbert, D. K.; Pelloni, B. Solutions of the fully compressible semi-geostrophic system. (English) Zbl 1307.35215 Commun. Partial Differ. Equations 39, No. 4, 591-625 (2014). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q35 35Q86 35D30 86A10 PDFBibTeX XMLCite \textit{M. J. P. Cullen} et al., Commun. Partial Differ. Equations 39, No. 4, 591--625 (2014; Zbl 1307.35215) Full Text: DOI arXiv Link
Bossy, Mireille; Fontbona, Joaquin; Jabin, Pierre-Emmanuel; Jabir, Jean-François Local existence of analytical solutions to an incompressible Lagrangian stochastic model in a periodic domain. (English) Zbl 1274.35384 Commun. Partial Differ. Equations 38, No. 7-9, 1141-1182 (2013). MSC: 35Q83 35Q84 82C31 PDFBibTeX XMLCite \textit{M. Bossy} et al., Commun. Partial Differ. Equations 38, No. 7--9, 1141--1182 (2013; Zbl 1274.35384) Full Text: DOI arXiv Link
Blanchet, Adrien; Laurençot, Philippe The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in \(\mathbb R^d, d\geq 3\). (English) Zbl 1282.35202 Commun. Partial Differ. Equations 38, No. 4-6, 658-686 (2013). Reviewer: Gabriela Marinoschi (Bucharest) MSC: 35K65 47J30 35Q92 35B33 35K45 92C17 35B44 PDFBibTeX XMLCite \textit{A. Blanchet} and \textit{P. Laurençot}, Commun. Partial Differ. Equations 38, No. 4--6, 658--686 (2013; Zbl 1282.35202) Full Text: DOI arXiv
Alonso, Ricardo; Cañizo, José A.; Gamba, Irene; Mouhot, Clément A new approach to the creation and propagation of exponential moments in the Boltzmann equation. (English) Zbl 1280.82008 Commun. Partial Differ. Equations 38, No. 1-3, 155-169 (2013). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 26D10 35A23 76P05 82D10 PDFBibTeX XMLCite \textit{R. Alonso} et al., Commun. Partial Differ. Equations 38, No. 1--3, 155--169 (2013; Zbl 1280.82008) Full Text: DOI arXiv
Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. (English) Zbl 1258.35164 Commun. Partial Differ. Equations 37, No. 10-12, 2209-2227 (2012). MSC: 35Q35 35J60 76B03 86A10 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Commun. Partial Differ. Equations 37, No. 10--12, 2209--2227 (2012; Zbl 1258.35164) Full Text: DOI arXiv
Calogero, Simone Exponential convergence to equilibrium for kinetic Fokker-Planck equations. (English) Zbl 1254.35220 Commun. Partial Differ. Equations 37, No. 8, 1357-1390 (2012). MSC: 35Q84 35B40 58J65 PDFBibTeX XMLCite \textit{S. Calogero}, Commun. Partial Differ. Equations 37, No. 8, 1357--1390 (2012; Zbl 1254.35220) Full Text: DOI arXiv
Krieger, Joachim; Strain, Robert M. Global solutions to a non-local diffusion equation with quadratic non-linearity. (English) Zbl 1247.35087 Commun. Partial Differ. Equations 37, No. 4-6, 647-689 (2012). MSC: 35Q20 35B65 35K55 PDFBibTeX XMLCite \textit{J. Krieger} and \textit{R. M. Strain}, Commun. Partial Differ. Equations 37, No. 4--6, 647--689 (2012; Zbl 1247.35087) Full Text: DOI arXiv
Lerner, Nicolas; Morimoto, Yoshinori; Pravda-Starov, Karel Hypoelliptic estimates for a linear model of the Boltzmann equation without angular cutoff. (English) Zbl 1251.35064 Commun. Partial Differ. Equations 37, No. 1-3, 234-284 (2012). Reviewer: Sérgio Luís Zani (São Carlos) MSC: 35Q20 35H10 35B65 82C40 PDFBibTeX XMLCite \textit{N. Lerner} et al., Commun. Partial Differ. Equations 37, No. 1--3, 234--284 (2012; Zbl 1251.35064) Full Text: DOI arXiv
Chen, Hua; Li, Wei-xi; Xu, Chao-Jiang Gevrey hypoellipticity for a class of kinetic equations. (English) Zbl 1242.35103 Commun. Partial Differ. Equations 36, No. 4-6, 693-728 (2011). Reviewer: Luigi Rodino (Torino) MSC: 35H10 35B65 35A27 35Q20 PDFBibTeX XMLCite \textit{H. Chen} et al., Commun. Partial Differ. Equations 36, No. 4--6, 693--728 (2011; Zbl 1242.35103) Full Text: DOI arXiv
Tudorascu, A.; Wunsch, M. On a nonlinear, nonlocal parabolic problem with conservation of mass, mean and variance. (English) Zbl 1242.35144 Commun. Partial Differ. Equations 36, No. 7-9, 1426-1454 (2011). Reviewer: Ulisse Stefanelli (Pavia) MSC: 35K55 46N10 49J99 35Q84 PDFBibTeX XMLCite \textit{A. Tudorascu} and \textit{M. Wunsch}, Commun. Partial Differ. Equations 36, No. 7--9, 1426--1454 (2011; Zbl 1242.35144) Full Text: DOI
Figalli, Alessio Regularity properties of optimal maps between nonconvex domains in the plane. (English) Zbl 1193.35086 Commun. Partial Differ. Equations 35, No. 3, 465-479 (2010). MSC: 35J96 49K20 35B65 PDFBibTeX XMLCite \textit{A. Figalli}, Commun. Partial Differ. Equations 35, No. 3, 465--479 (2010; Zbl 1193.35086) Full Text: DOI
Matthes, Daniel; McCann, Robert J.; Savaré, Giuseppe A family of nonlinear fourth order equations of gradient flow type. (English) Zbl 1187.35131 Commun. Partial Differ. Equations 34, No. 11, 1352-1397 (2009). Reviewer: Hans-Christoph Grunau (Magdeburg) MSC: 35K65 35K30 35B36 49J45 35B40 35K59 76A20 35Q84 PDFBibTeX XMLCite \textit{D. Matthes} et al., Commun. Partial Differ. Equations 34, No. 11, 1352--1397 (2009; Zbl 1187.35131) Full Text: DOI arXiv
Tudorascu, Adrian Lubrication approximation for thin viscous films: asymptotic behavior of nonnegative solutions. (English) Zbl 1128.35025 Commun. Partial Differ. Equations 32, No. 7, 1147-1172 (2007). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35K65 35K55 35K35 PDFBibTeX XMLCite \textit{A. Tudorascu}, Commun. Partial Differ. Equations 32, No. 7, 1147--1172 (2007; Zbl 1128.35025) Full Text: DOI
Mouhot, Clément Explicit coercivity estimates for the linearized Boltzmann and Landau operators. (English) Zbl 1101.76053 Commun. Partial Differ. Equations 31, No. 9, 1321-1348 (2006). MSC: 76P05 45K05 82B40 PDFBibTeX XMLCite \textit{C. Mouhot}, Commun. Partial Differ. Equations 31, No. 9, 1321--1348 (2006; Zbl 1101.76053) Full Text: DOI arXiv
Milakis, Emmanouil On the regularity of optimal sets in mass transfer problems. (English) Zbl 1117.49034 Commun. Partial Differ. Equations 31, No. 4-6, 817-826 (2006). Reviewer: Alexander Plakhov (Aveiro) MSC: 49N60 49Q20 PDFBibTeX XMLCite \textit{E. Milakis}, Commun. Partial Differ. Equations 31, No. 4--6, 817--826 (2006; Zbl 1117.49034) Full Text: DOI
Strain, Robert M.; Guo, Yan Almost exponential decay near Maxwellian. (English) Zbl 1096.82010 Commun. Partial Differ. Equations 31, No. 1-3, 417-429 (2006). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82B40 82C40 82D05 82D10 PDFBibTeX XMLCite \textit{R. M. Strain} and \textit{Y. Guo}, Commun. Partial Differ. Equations 31, No. 1--3, 417--429 (2006; Zbl 1096.82010) Full Text: DOI
Mouhot, Clément Quantitative lower bounds for the full Boltzmann equation. I: Periodic boundary conditions. (English) Zbl 1112.76061 Commun. Partial Differ. Equations 30, No. 5-6, 881-917 (2005). MSC: 76P05 82B40 82D05 PDFBibTeX XMLCite \textit{C. Mouhot}, Commun. Partial Differ. Equations 30, No. 5--6, 881--917 (2005; Zbl 1112.76061) Full Text: DOI arXiv
Hérau, Frédéric; Sjöstrand, Johannes; Stolk, Christiaan C. Semiclassical analysis for the Kramers-Fokker-Planck equation. (English) Zbl 1083.35149 Commun. Partial Differ. Equations 30, No. 5-6, 689-760 (2005). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35S10 35P20 47D06 81Q20 47A10 47G30 PDFBibTeX XMLCite \textit{F. Hérau} et al., Commun. Partial Differ. Equations 30, No. 5--6, 689--760 (2005; Zbl 1083.35149) Full Text: DOI arXiv
Desvillettes, Laurent; Wennberg, Bernt Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. (English) Zbl 1103.82020 Commun. Partial Differ. Equations 29, No. 1-2, 133-155 (2004). MSC: 82C40 35F20 35B65 76P05 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{B. Wennberg}, Commun. Partial Differ. Equations 29, No. 1--2, 133--155 (2004; Zbl 1103.82020) Full Text: DOI
Cáceres, Maria J.; Carrillo, José A.; Goudon, Thierry Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles. (English) Zbl 1045.35094 Commun. Partial Differ. Equations 28, No. 5-6, 969-989 (2003). MSC: 35F25 82C40 35B40 PDFBibTeX XMLCite \textit{M. J. Cáceres} et al., Commun. Partial Differ. Equations 28, No. 5--6, 969--989 (2003; Zbl 1045.35094) Full Text: DOI
Lederman, Claudia; Markowich, Peter A. On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. (English) Zbl 1024.35040 Commun. Partial Differ. Equations 28, No. 1-2, 301-332 (2003). MSC: 35K57 35B40 35K15 PDFBibTeX XMLCite \textit{C. Lederman} and \textit{P. A. Markowich}, Commun. Partial Differ. Equations 28, No. 1--2, 301--332 (2003; Zbl 1024.35040) Full Text: DOI
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. (English) Zbl 0982.35113 Commun. Partial Differ. Equations 26, No. 1-2, 43-100 (2001). Reviewer: Nikita E.Ratanov (Chelyabinsk) MSC: 35Q72 35B40 82D37 82C31 26D10 PDFBibTeX XMLCite \textit{A. Arnold} et al., Commun. Partial Differ. Equations 26, No. 1--2, 43--100 (2001; Zbl 0982.35113) Full Text: DOI
Desvillettes, Laurent; Villani, Cédric On the spatially homogeneous Landau equation for hard potentials. II: H-theorem and applications. (English) Zbl 0951.35130 Commun. Partial Differ. Equations 25, No. 1-2, 261-298 (2000). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35Q72 82C31 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Villani}, Commun. Partial Differ. Equations 25, No. 1--2, 261--298 (2000; Zbl 0951.35130) Full Text: DOI
Desvillettes, Laurent; Villani, Cédric On the spatially homogeneous Landau equation for hard potentials. I: Existence, uniqueness and smoothness. (English) Zbl 0946.35109 Commun. Partial Differ. Equations 25, No. 1-2, 179-259 (2000). Reviewer: Dimitar Kolev (Sofia) MSC: 35Q72 82C31 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Villani}, Commun. Partial Differ. Equations 25, No. 1--2, 179--259 (2000; Zbl 0946.35109) Full Text: DOI