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1

Asymptotics of the Fast Diffusion Equation via Entropy Estimates

Adrien Blanchet, Matteo Bonforte, Jean Dolbeault, Gabriele Grillo, Juan Luis Vázquez

Journal:

Archive for Rational Mechanics and Analysis

Année:

2009

Langue:

english

Fichier:

PDF, 438 KB

english, 2009

2

Do two-phase biogas plants separate anaerobic digestion phases? – A mathematical model for the distribution of anaerobic digestion phases among reactor stages

Muha, Ivo, Zielonka, Simon, Lemmer, Andreas, Schönberg, Mandy, Linke, Bernd, Grillo, Alfio, Wittum, Gabriel

Journal:

Bioresource Technology

Année:

2013

Langue:

english

Fichier:

PDF, 457 KB

english, 2013

3

The porous medium equation on Riemannian manifolds with negative curvature. The large-time behaviour

Grillo, Gabriele, Muratori, Matteo, Vázquez, Juan Luis

Journal:

Advances in Mathematics

Année:

2017

Langue:

english

Fichier:

PDF, 804 KB

english, 2017

4

[Lecture Notes in Mathematics] Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions Volume 2186 || Bubbling Blow-Up in Critical Parabolic Problems

Carrillo, José Antonio, del Pino, Manuel, Figalli, Alessio, Mingione, Giuseppe, Vázquez, Juan Luis, Bonforte, Matteo, Grillo, Gabriele

Année:

2017

Langue:

english

Fichier:

PDF, 482 KB

english, 2017

5

The porous medium equation on Riemannian manifolds with negative curvature: the superquadratic case

Grillo, Gabriele, Muratori, Matteo, Vázquez, Juan Luis

Journal:

Mathematische Annalen

Année:

2018

Langue:

english

Fichier:

PDF, 641 KB

english, 2018

6

Uniqueness of very weak solutions for a fractional filtration equation

Grillo, Gabriele, Muratori, Matteo, Punzo, Fabio

Journal:

Advances in Mathematics

Année:

2020

Langue:

english

Fichier:

PDF, 581 KB

english, 2020

7

Uniform Bounds for Solutions to Quasilinear Parabolic Equations

Fabio Cipriani, Gabriele Grillo

Journal:

Journal of Differential Equations

Année:

2001

Langue:

english

Fichier:

PDF, 214 KB

english, 2001

8

Cosmic censorship and Tolman-Bondi spacetimes

Vittorio Gorini, Gabriele Grillo, Mauro Pelizza

Journal:

Physics Letters A

Année:

1989

Langue:

english

Fichier:

PDF, 365 KB

english, 1989

9

Hardy–Poincaré inequalities and applications to nonlinear diffusions

Adrien Blanchet, Matteo Bonforte, Jean Dolbeault, Gabriele Grillo, Juan-Luis Vázquez

Journal:

Comptes Rendus Mathematique

Année:

2007

Langue:

french

Fichier:

PDF, 162 KB

french, 2007

10

Asymptotics of the porous media equation via Sobolev inequalities

Matteo Bonforte, Gabriele Grillo

Journal:

Journal of Functional Analysis

Année:

2005

Langue:

english

Fichier:

PDF, 330 KB

english, 2005

11

Hypercontractivity, Nash inequalities and subordination for classes of

Fabio Cipriani, Gabriele Grillo

Journal:

Semigroup Forum

Année:

2009

Langue:

english

Fichier:

PDF, 445 KB

english, 2009

12

Nonlinear Markov semigroups, nonlinear Dirichlet forms and applications to minimal surfaces

Cipriani, Fabio, Grillo, Gabriele

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Année:

2003

Langue:

english

Fichier:

PDF, 267 KB

english, 2003

13

Classification of radial solutions to the Emden–Fowler equation on the hyperbolic space

Bonforte, Matteo, Gazzola, Filippo, Grillo, Gabriele, Vázquez, Juan Luis

Journal:

Calculus of Variations and Partial Differential Equations

Année:

2013

Langue:

english

Fichier:

PDF, 538 KB

english, 2013

14

Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations

Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez

Journal:

Milan Journal of Mathematics

Année:

2012

Langue:

english

Fichier:

PDF, 786 KB

english, 2012

15

Lp -exponential decay for solutions to functional equations in local Dirichlet spaces

Cipriani, Fabio, Grillo, Gabriele

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Année:

1998

Langue:

english

Fichier:

PDF, 166 KB

english, 1998

16

Forchheimer’s correction in modelling flow and transport in fractured porous media

Grillo, Alfio, Logashenko, Dmitriy, Stichel, Sabine, Wittum, Gabriel

Journal:

Computing and Visualization in Science

Année:

2012

Langue:

english

Fichier:

PDF, 689 KB

english, 2012

17

Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov–Bohm magnetic field

Grillo, Gabriele, Kovařík, Hynek

Journal:

Journal of Differential Equations

Année:

2014

Langue:

english

Fichier:

PDF, 342 KB

english, 2014

18

Stability and qualitative properties of radial solutions of the Lane–Emden–Fowler equation on Riemannian models

Berchio, Elvise, Ferrero, Alberto, Grillo, Gabriele

Journal:

Journal de Mathématiques Pures et Appliquées

Année:

2014

Langue:

english

Fichier:

PDF, 1.42 MB

english, 2014

19

Sharp Two-Sided Heat Kernel Estimates of Twisted Tubes and Applications

Grillo, Gabriele, Kovařík, Hynek, Pinchover, Yehuda

Journal:

Archive for Rational Mechanics and Analysis

Année:

2014

Langue:

english

Fichier:

PDF, 333 KB

english, 2014

20

On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density

Grillo, Gabriele, Muratori, Matteo, Punzo, Fabio

Journal:

Discrete and Continuous Dynamical Systems

Année:

2015

Langue:

english

Fichier:

PDF, 655 KB

english, 2015

21

Fractional porous media equations: existence and uniqueness of weak solutions with measure data

Grillo, Gabriele, Muratori, Matteo, Punzo, Fabio

Journal:

Calculus of Variations and Partial Differential Equations

Année:

2015

Langue:

english

Fichier:

PDF, 827 KB

english, 2015

22

Smoothing effects for the porous medium equation on Cartan–Hadamard manifolds

Grillo, Gabriele, Muratori, Matteo

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Année:

2015

Langue:

english

Fichier:

PDF, 718 KB

english, 2015

23

Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows

Fanelli, Luca, Grillo, Gabriele, Kovařík, Hynek

Journal:

Journal of Functional Analysis

Année:

2015

Langue:

english

Fichier:

PDF, 330 KB

english, 2015

24

Climate change fosters the decline of epiphytic Lobaria species in Italy

Nascimbene, Juri, Casazza, Gabriele, Benesperi, Renato, Catalano, Immacolata, Cataldo, Daniela, Grillo, Maria, Isocrono, Deborah, Matteucci, Enrica, Ongaro, Silvia, Potenza, Giovanna, Puntillo, Domeni

Journal:

Biological Conservation

Année:

2016

Langue:

english

Fichier:

PDF, 933 KB

english, 2016

25

Sharp Poincaré–Hardy and Poincaré–Rellich inequalities on the hyperbolic space

Berchio, Elvise, Ganguly, Debdip, Grillo, Gabriele

Journal:

Journal of Functional Analysis

Année:

2017

Langue:

english

Fichier:

PDF, 455 KB

english, 2017

26

-Poincaré inequalities on the hyperbolic space

Berchio, Elvise, D’Ambrosio, Lorenzo, Ganguly, Debdip, Grillo, Gabriele

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Année:

2017

Langue:

english

Fichier:

PDF, 768 KB

english, 2017

27

[Lecture Notes in Mathematics] Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions Volume 2186 ||

Carrillo, José Antonio, del Pino, Manuel, Figalli, Alessio, Mingione, Giuseppe, Vázquez, Juan Luis, Bonforte, Matteo, Grillo, Gabriele

Année:

2017

Langue:

english

Fichier:

PDF, 4.86 MB

english, 2017

28

3D Spatially Resolved Models of the Intracellular Dynamics of the Hepatitis C Genome Replication Cycle

Knodel, Markus, Reiter, Sebastian, Targett-Adams, Paul, Grillo, Alfio, Herrmann, Eva, Wittum, Gabriel

Journal:

Année:

2017

Langue:

english

Fichier:

PDF, 5.38 MB

english, 2017

29

Improved multipolar Poincaré–Hardy inequalities on Cartan–Hadamard manifolds

Berchio, Elvise, Ganguly, Debdip, Grillo, Gabriele

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Année:

2019

Langue:

english

Fichier:

PDF, 372 KB

english, 2019

30

Improved multipolar Poincaré–Hardy inequalities on Cartan–Hadamard manifolds

Berchio, Elvise, Ganguly, Debdip, Grillo, Gabriele

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Année:

2019

Fichier:

PDF, 372 KB

2019

31

Semiempirical methods do Fukui functions: Unlocking a modeling framework for biosystems

Grillo, Igor Barden, Urquiza‐Carvalho, Gabriel A., Chaves, Elton José Ferreira, Rocha, Gerd Bruno

Journal:

Journal of Computational Chemistry

Année:

2020

Langue:

english

Fichier:

PDF, 3.81 MB

english, 2020

32

The fractional porous medium equation on the hyperbolic space

Berchio, Elvise, Bonforte, Matteo, Ganguly, Debdip, Grillo, Gabriele

Journal:

Calculus of Variations and Partial Differential Equations

Année:

2020

Fichier:

PDF, 575 KB

2020

33

Long-Time Behaviour of Langevin Algorithms with Time-dependent Energy Function

Gabriele Grillo

Journal:

Mathematische Nachrichten

Année:

1995

Langue:

english

Fichier:

PDF, 879 KB

english, 1995

34

A multiscale analysis of growth and diffusion dynamics in biological materials

Alfio Grillo, Gabriel Wittum, Gaetano Giaquinta, Milan V. Mićunović

Journal:

International Journal of Engineering Science

Année:

2009

Langue:

english

Fichier:

PDF, 430 KB

english, 2009

35

Locally Advanced Rectal Cancer Patients Receiving Radio-Chemotherapy: A Novel Clinical–Pathologic Score Correlates With Global Outcome

Rossana Berardi, Giovanna Mantello, Mario Scartozzi, Stefano Del Prete, Gabriele Luppi, Roberto Martinelli, Marco Fumagalli, Filippo Grillo-Ruggieri, Italo Bearzi, Alessandra Mandolesi, Cristina Marmo

Journal:

International Journal of Radiation Oncology*Biology*Physics

Année:

2009

Langue:

english

Fichier:

PDF, 461 KB

english, 2009

36

On the equivalence between p-Poincaré inequalities and – regularization and decay estimates of certain nonlinear evolutions

Gabriele Grillo

Journal:

Journal of Differential Equations

Année:

2010

Langue:

english

Fichier:

PDF, 216 KB

english, 2010

37

Effective diffusivity in membranes with tetrakaidekahedral cells and implications for the permeability of human stratum corneum

Ivo Muha, Arne Naegel, Sabine Stichel, Alfio Grillo, Michael Heisig, Gabriel Wittum

Journal:

Journal of Membrane Science

Année:

2011

Langue:

english

Fichier:

PDF, 766 KB

english, 2011

38

The Markov property for classes of nonlinear parabolic equations

Fabio Cipriani, Gabriele Grillo

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Année:

2001

Fichier:

PDF, 302 KB

2001

39

Synaptic bouton sizes are tuned to best fit their physiological performances

Markus Knodel, Gillian Queisser, Dan Bucher, Romina Geiger, Lee How Ge, Alfio Grillo, Christoph Schuster, Gabriel Wittum

Journal:

BMC Neuroscience

Année:

2011

Langue:

english

Fichier:

PDF, 424 KB

english, 2011

40

Simulated annealing with time-dependent energy function

Alberto Frigerio, Gabriele Grillo

Journal:

Mathematische Zeitschrift

Année:

1993

Langue:

english

Fichier:

PDF, 737 KB

english, 1993

41

Fast diffusion flow on manifolds of nonpositive curvature

Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez

Journal:

Journal of Evolution Equations

Année:

2008

Langue:

english

Fichier:

PDF, 337 KB

english, 2008

42

Special Fast Diffusion with Slow Asymptotics: Entropy Method and Flow on a Riemannian Manifold

Matteo Bonforte, Gabriele Grillo, Juan Luis Vázquez

Journal:

Archive for Rational Mechanics and Analysis

Année:

2010

Langue:

english

Fichier:

PDF, 503 KB

english, 2010

43

Three-dimensional simulation of the thermohaline-driven buoyancy of a brine parcel

Alfio Grillo, Michael Lampe, Gabriel Wittum

Journal:

Computing and Visualization in Science

Année:

2010

Langue:

english

Fichier:

PDF, 637 KB

english, 2010

44

Lq–L∞ Hölder continuity for quasilinear parabolic equations associated to Sobolev derivations

Fabio Cipriani, Gabriele Grillo

Journal:

Journal of Mathematical Analysis and Applications

Année:

2002

Langue:

english

Fichier:

PDF, 184 KB

english, 2002

45

Effects of fluconazole in the prophylaxis of oropharyngeal candidiasis in patients undergoing radiotherapy for head and neck tumour: results from a double-blind placebo-controlled trial

R. CORVÒ, M. AMICHETTI, A. ASCARELLI, G. ARCANGELI, A. BUFFOLI, N. CELLINI, L. CIONINI, C. DE RENZIS, E. EMILIANI, P. FRANCHINI, P. GABRIELE, C. GOBITTI, F. GRILLO RUGGIERI, F. BERTONI, S.M. MAGRINI,

Journal:

European Journal of Cancer Care

Année:

2008

Langue:

english

Fichier:

PDF, 140 KB

english, 2008

46

Hardy and Rellich-Type Inequalities for Metrics Defined by Vector Fields

Gabriele Grillo

Journal:

Potential Analysis

Année:

2003

Langue:

english

Fichier:

PDF, 207 KB

english, 2003

47

Mathematical modeling of process liquid flow and acetoclastic methanogenesis under mesophilic conditions in a two-phase biogas reactor

Ivo Muha, Alfio Grillo, Michael Heisig, Mandy Schönberg, Bernd Linke, Gabriel Wittum

Journal:

Bioresource Technology

Année:

2012

Langue:

english

Fichier:

PDF, 445 KB

english, 2012

48

Growth, mass transfer, and remodeling in fiber-reinforced, multi-constituent materials

Alfio Grillo, Salvatore Federico, Gabriel Wittum

Journal:

International Journal of Non-Linear Mechanics

Année:

2012

Langue:

english

Fichier:

PDF, 326 KB

english, 2012

49

Behaviour near extinction for the Fast Diffusion Equation on bounded domains

Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez

Journal:

Journal de Mathématiques Pures et Appliquées

Année:

2012

Fichier:

PDF, 387 KB

2012

50

Complexing a small interfering RNA with divalent cationic surfactants

Ristori, Sandra, Ciani, Laura, Candiani, Gabriele, Battistini, Chiara, Frati, Alessia, Grillo, Isabelle, In, Martin

Journal:

Année:

2011

Langue:

english

Fichier:

PDF, 614 KB

english, 2011