Edit Profile (opens in new tab) Muratori, Matteo Co-Author Distance Author ID: muratori.matteo Published as: Muratori, Matteo Documents Indexed: 38 Publications since 2013, including 3 Additional arXiv Preprints Co-Authors: 23 Co-Authors with 36 Joint Publications 609 Co-Co-Authors all top 5 Co-Authors 2 single-authored 20 Grillo, Gabriele 11 Punzo, Fabio 4 Dolbeault, Jean 3 Bonforte, Matteo 3 Nazaret, Bruno 3 Vazquez, Juan Luis 2 Ishige, Kazuhiro 2 Petitt, Troy 2 Soave, Nicola 1 Addona, Davide 1 Berchio, Elvise 1 De Ponti, Nicolò 1 Esteban, Maria J. 1 Fotache, Alin Razvan 1 Kawakami, Tatsuki 1 Loss, Michael 1 Orrieri, Carlo 1 Porzio, Maria Michaela 1 Quirós Gracián, Fernando 1 Roncoroni, Alberto 1 Rossi, Maurizia 1 Savaré, Giuseppe 1 Somaglia, Jacopo all top 5 Serials 4 Journal of Differential Equations 4 Journal of Functional Analysis 3 Mathematische Annalen 3 Discrete and Continuous Dynamical Systems 2 Advances in Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Kinetic and Related Models 1 Applicable Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 IMRN. International Mathematics Research Notices 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Rivista di Matematica della Università di Parma. New Series 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 32 Partial differential equations (35-XX) 14 Global analysis, analysis on manifolds (58-XX) 8 Functional analysis (46-XX) 6 Real functions (26-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 1 Potential theory (31-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 375 times in 159 Documents Cited by ▼ Year ▼ Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities. Zbl 1277.35217 Grillo, Gabriele; Muratori, Matteo; Porzio, Maria Michaela 41 2013 Fractional porous media equations: existence and uniqueness of weak solutions with measure data. Zbl 1333.35322 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 29 2015 The porous medium equation on Riemannian manifolds with negative curvature. the large-time behaviour. Zbl 1437.35428 Grillo, Gabriele; Muratori, Matteo; Vázquez, Juan Luis 28 2017 Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds. Zbl 1330.58025 Grillo, Gabriele; Muratori, Matteo 25 2016 Radial fast diffusion on the hyperbolic space. Zbl 1336.35201 Grillo, Gabriele; Muratori, Matteo 24 2014 Gradient flows and evolution variational inequalities in metric spaces. I: structural properties. Zbl 1448.49015 Muratori, Matteo; Savaré, Giuseppe 22 2020 The porous medium equation with large initial data on negatively curved Riemannian manifolds. Zbl 1388.35199 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 20 2018 On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density. Zbl 1336.35057 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 20 2015 The porous medium equation with measure data on negatively curved Riemannian manifolds. Zbl 1400.35153 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 17 2018 Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1361.35075 Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno 17 2017 Sharp short and long time \(L^{\infty }\) bounds for solutions to porous media equations with homogeneous Neumann boundary conditions. Zbl 1270.35146 Grillo, Gabriele; Muratori, Matteo 16 2013 Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities. (Symétrie des fonctions extrémales pour des inégalités de Caffarelli-Kohn-Nirenberg sous-critiques.) Zbl 1379.49009 Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Muratori, Matteo 16 2017 Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds. Zbl 1405.35234 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 14 2019 Weighted fast diffusion equations II: sharp asymptotic rates of convergence in relative error by entropy methods. Zbl 1361.35076 Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno 12 2017 The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case. Zbl 1411.35261 Grillo, Gabriele; Muratori, Matteo; Vázquez, Juan Luis 11 2019 Nonlinear characterizations of stochastic completeness. Zbl 1441.35248 Grillo, Gabriele; Ishige, Kazuhiro; Muratori, Matteo 11 2020 Weighted interpolation inequalities: a perturbation approach. Zbl 1390.49005 Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno 7 2017 Conditions at infinity for the inhomogeneous filtration equation. Zbl 1302.35193 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 6 2014 On the equivalence of Sobolev norms in Malliavin spaces. Zbl 1511.60078 Addona, Davide; Muratori, Matteo; Rossi, Maurizia 5 2022 Uniqueness of very weak solutions for a fractional filtration equation. Zbl 1439.35531 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 4 2020 Fast diffusion on noncompact manifolds: well-posedness theory and connections with semilinear elliptic equations. Zbl 1471.35285 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 4 2021 Some rigidity results for Sobolev inequalities and related PDEs on Cartan-Hadamard manifolds. Zbl 1522.58012 Muratori, Matteo; Soave, Nicola 4 2023 Sharp asymptotics for the porous media equation in low dimensions via Gagliardo-Nirenberg inequalities. Zbl 1332.35159 Grillo, Gabriele; Muratori, Matteo 4 2014 Smoothing effects for the filtration equation with different powers. Zbl 1515.35074 Fotache, Alin Razvan; Muratori, Matteo 4 2017 The fractional Laplacian in power-weighted \(L^{p}\) spaces: integration-by-parts formulas and self-adjointness. Zbl 1358.47029 Muratori, Matteo 4 2016 Porous medium equations on manifolds with critical negative curvature: unbounded initial data. Zbl 1418.35348 Muratori, Matteo; Punzo, Fabio 2 2019 Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below. Zbl 1496.35054 De Ponti, Nicolò; Muratori, Matteo; Orrieri, Carlo 2 2022 Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations. Zbl 1498.46046 Muratori, Matteo; Roncoroni, Alberto 2 2022 Nonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds. Zbl 1473.35013 Kawakami, Tatsuki; Muratori, Matteo 2 2021 Some recent advances in nonlinear diffusion on negatively-curved Riemannian manifolds: from barriers to smoothing effects. Zbl 1462.35181 Muratori, Matteo 1 2021 The porous medium equation with large data on Cartan-Hadamard manifolds under general curvature bounds. Zbl 1518.35453 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 1 2023 Some rigidity results for Sobolev inequalities and related PDEs on Cartan-Hadamard manifolds. Zbl 1522.58012 Muratori, Matteo; Soave, Nicola 4 2023 The porous medium equation with large data on Cartan-Hadamard manifolds under general curvature bounds. Zbl 1518.35453 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 1 2023 On the equivalence of Sobolev norms in Malliavin spaces. Zbl 1511.60078 Addona, Davide; Muratori, Matteo; Rossi, Maurizia 5 2022 Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below. Zbl 1496.35054 De Ponti, Nicolò; Muratori, Matteo; Orrieri, Carlo 2 2022 Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations. Zbl 1498.46046 Muratori, Matteo; Roncoroni, Alberto 2 2022 Fast diffusion on noncompact manifolds: well-posedness theory and connections with semilinear elliptic equations. Zbl 1471.35285 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 4 2021 Nonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds. Zbl 1473.35013 Kawakami, Tatsuki; Muratori, Matteo 2 2021 Some recent advances in nonlinear diffusion on negatively-curved Riemannian manifolds: from barriers to smoothing effects. Zbl 1462.35181 Muratori, Matteo 1 2021 Gradient flows and evolution variational inequalities in metric spaces. I: structural properties. Zbl 1448.49015 Muratori, Matteo; Savaré, Giuseppe 22 2020 Nonlinear characterizations of stochastic completeness. Zbl 1441.35248 Grillo, Gabriele; Ishige, Kazuhiro; Muratori, Matteo 11 2020 Uniqueness of very weak solutions for a fractional filtration equation. Zbl 1439.35531 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 4 2020 Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds. Zbl 1405.35234 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 14 2019 The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case. Zbl 1411.35261 Grillo, Gabriele; Muratori, Matteo; Vázquez, Juan Luis 11 2019 Porous medium equations on manifolds with critical negative curvature: unbounded initial data. Zbl 1418.35348 Muratori, Matteo; Punzo, Fabio 2 2019 The porous medium equation with large initial data on negatively curved Riemannian manifolds. Zbl 1388.35199 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 20 2018 The porous medium equation with measure data on negatively curved Riemannian manifolds. Zbl 1400.35153 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 17 2018 The porous medium equation on Riemannian manifolds with negative curvature. the large-time behaviour. Zbl 1437.35428 Grillo, Gabriele; Muratori, Matteo; Vázquez, Juan Luis 28 2017 Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1361.35075 Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno 17 2017 Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities. (Symétrie des fonctions extrémales pour des inégalités de Caffarelli-Kohn-Nirenberg sous-critiques.) Zbl 1379.49009 Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Muratori, Matteo 16 2017 Weighted fast diffusion equations II: sharp asymptotic rates of convergence in relative error by entropy methods. Zbl 1361.35076 Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno 12 2017 Weighted interpolation inequalities: a perturbation approach. Zbl 1390.49005 Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno 7 2017 Smoothing effects for the filtration equation with different powers. Zbl 1515.35074 Fotache, Alin Razvan; Muratori, Matteo 4 2017 Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds. Zbl 1330.58025 Grillo, Gabriele; Muratori, Matteo 25 2016 The fractional Laplacian in power-weighted \(L^{p}\) spaces: integration-by-parts formulas and self-adjointness. Zbl 1358.47029 Muratori, Matteo 4 2016 Fractional porous media equations: existence and uniqueness of weak solutions with measure data. Zbl 1333.35322 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 29 2015 On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density. Zbl 1336.35057 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 20 2015 Radial fast diffusion on the hyperbolic space. Zbl 1336.35201 Grillo, Gabriele; Muratori, Matteo 24 2014 Conditions at infinity for the inhomogeneous filtration equation. Zbl 1302.35193 Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio 6 2014 Sharp asymptotics for the porous media equation in low dimensions via Gagliardo-Nirenberg inequalities. Zbl 1332.35159 Grillo, Gabriele; Muratori, Matteo 4 2014 Porous media equations with two weights: smoothing and decay properties of energy solutions via Poincaré inequalities. Zbl 1277.35217 Grillo, Gabriele; Muratori, Matteo; Porzio, Maria Michaela 41 2013 Sharp short and long time \(L^{\infty }\) bounds for solutions to porous media equations with homogeneous Neumann boundary conditions. Zbl 1270.35146 Grillo, Gabriele; Muratori, Matteo 16 2013 all cited Publications top 5 cited Publications all top 5 Cited by 197 Authors 26 Muratori, Matteo 21 Punzo, Fabio 18 Grillo, Gabriele 11 Bonforte, Matteo 11 Dolbeault, Jean 8 Vazquez, Juan Luis 7 Ganguly, Debdip 7 Meglioli, Giulia 6 Porzio, Maria Michaela 5 Berchio, Elvise 5 Simonov, Nikita 4 Colombo, Fabrizio 4 Endal, Jørgen 4 Esteban, Maria J. 4 Savaré, Giuseppe 4 Winkler, Michael 3 Andreucci, Daniele 3 Chlebicka, Iwona 3 del Teso, Félix 3 Fila, Marek 3 Gantner, Jonathan 3 Loss, Michael 3 Monsaingeon, Léonard 3 Nazaret, Bruno 3 Roychowdhury, Prasun 3 Tedeev, Anatoliĭ Fedorovich 3 Torebek, Berikbol Tillabayuly 2 Bianchi, Davide 2 Dello Schiavo, Lorenzo 2 Iagar, Razvan Gabriel 2 Karmakar, Debabrata 2 Lavenant, Hugo 2 Marini, Ludovico 2 Mazumdar, Saikat 2 Pinchover, Yehuda 2 Roidos, Nikolaos 2 Roncoroni, Alberto 2 Ruzhansky, Michael V. 2 Sabitbek, Bolys 2 Sánchez, Ariel 2 Schimperna, Giulio 2 Segatti, Antonio 2 Setti, Alberto G. 2 Shao, Yuanzhen 2 Shenfeld, Yair 2 Tamanini, Luca 2 Valdinoci, Enrico 2 Vorotnikov, Dmitry A. 2 Zozulia, Yevhen S. 1 Akagi, Goro 1 Alonso-Orán, Diego 1 Ambrosio, Luigi 1 Arras, Benjamin 1 Azami, Shahroud 1 Bazan, Aldo 1 Bhakta, Mousomi 1 Bignamini, Davide A. 1 Bisterzo, Andrea 1 Boccardo, Lucio 1 Bonheure, Denis 1 Bouin, Emeric 1 Brasco, Lorenzo 1 Brena, Camillo 1 Brigati, Giovanni 1 Burazin, Krešimir 1 Carlier, Guillaume 1 Castéras, Jean-baptiste 1 Catino, Giovanni 1 Cavagnari, Giulia 1 Chainais-Hillairet, Claire 1 Chamizo Lorente, Fernando 1 Chen, Xiaopeng 1 Chikami, Noboru 1 Colombo, Maria 1 Conforti, Giovanni 1 Craig, Katy 1 Daniilidis, Aris 1 De Ponti, Nicolò 1 Diehl, Nicolau M. L. 1 Dipierro, Serena 1 Drábek, Pavel 1 Du, Shi-Zhong 1 Duarte, Rodrigo 1 Ehrlacher, Virginie 1 Elamvazhuthi, Karthik 1 Fabris, Lucineia 1 Ferrari, Simone 1 Ferrero, Alberto 1 Fetecau, Razvan C. 1 Figalli, Alessio 1 Fino, Ahmad Z. 1 Fogagnolo, Mattia 1 Fornaro, Simona 1 Fotache, Alin Razvan 1 Gál, Hedvig 1 Gallo, Marco 1 Gao, Zu 1 Gigli, Nicola 1 Guo, Lianhong 1 Guo, Tian-Pei ...and 97 more Authors all top 5 Cited in 64 Serials 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Discrete and Continuous Dynamical Systems 8 Advances in Mathematics 8 Journal of Differential Equations 8 Journal of Functional Analysis 8 Calculus of Variations and Partial Differential Equations 5 Journal of Mathematical Analysis and Applications 5 The Journal of Geometric Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Evolution Equations 3 Mathematical Methods in the Applied Sciences 3 Mathematische Annalen 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Potential Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Advanced Nonlinear Studies 3 Milan Journal of Mathematics 2 Communications in Mathematical Physics 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Probability Theory and Related Fields 2 Asymptotic Analysis 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Sciences (New York) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Revista Matemática Complutense 2 Discrete and Continuous Dynamical Systems. Series S 2 Kinetic and Related Models 2 Journal of Elliptic and Parabolic Equations 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Journal of Lie Theory 1 Advances in Differential Equations 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Optimization Letters 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Probability Surveys 1 Science China. Mathematics 1 Evolution Equations and Control Theory 1 Journal de l’École Polytechnique – Mathématiques 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 28 Fields 126 Partial differential equations (35-XX) 37 Global analysis, analysis on manifolds (58-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 21 Real functions (26-XX) 20 Functional analysis (46-XX) 16 Differential geometry (53-XX) 13 Operator theory (47-XX) 11 Fluid mechanics (76-XX) 9 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Difference and functional equations (39-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) Citations by Year