GENERALIZATION OF AN INEQUALITY BY TALAGRAND, AND LINKS WITH THE LOGARITHMIC SOBOLEV INEQUALITY F. OTTO AND C. VILLANI Abstract. We show that transport inequalities, similar to the one derived by Talagrand [30] for the G

Source URL: cedricvillani.org

TRANSFER OF ENERGY TO HIGH FREQUENCIES IN THE CUBIC DEFOCUSING ¨ NONLINEAR SCHRODINGER EQUATION J. COLLIANDER, M. KEEL, G. STAFFILANI, H. TAKAOKA, AND T. TAO

Source URL: math.umn.edu

• Mathematical analysis
• Mathematics
• Calculus
• Joseph Fourier
• Mathematical physics
• Multivariable calculus
• Partial differential equation
• Wave equation
• Fourier transform
• Sobolev inequality
• Fourier series
• N1

ENDPOINT STRICHARTZ ESTIMATES By MARKUS KEEL and TERENCE TAO Abstract. We prove an abstract Strichartz estimate, which implies previously unknown endpoint 4) and the Schr¨odinger equation (in

Source URL: www.math.umn.edu

• Operator theory
• Wave mechanics
• Strichartz estimate
• Wave equation
• Sobolev inequality
• Partial differential equation
• Heat equation

A LOGARITHMIC SOBOLEV FORM OF THE LI-YAU PARABOLIC INEQUALITY D. Bakry, M. Ledoux University of Toulouse, France Abstract. – We present a finite dimensional version of the logarithmic Sobolev inequality for heat kerne

Source URL: www.math.univ-toulouse.fr

`cnica de Catalunya Universitat Polite ` tica Aplicada Programa de Doctorat de Matema ` tica Aplicada I Departament de Matema

Source URL: www.ma.utexas.edu

• Differential operators
• Fourier analysis
• Sobolev spaces
• Partial differential equations
• Elliptic operator
• Calculus of variations
• Laplace operator
• Isoperimetric inequality
• Differential equation
• Calculus
• Mathematical analysis
• Multivariable calculus

REGULARITY OF MINIMIZERS UP TO DIMENSION 7 IN DOMAINS OF DOUBLE REVOLUTION ´ AND XAVIER ROS-OTON XAVIER CABRE Abstract. We consider the class of semi-stable positive solutions to semilinear equations −∆u = f (u) in

Source URL: www.ma.utexas.edu

• Calculus
• Inequalities
• Ordinal number
• Sobolev inequality
• Symbol
• Spectral theory of ordinary differential equations
• Mathematical analysis
• Mathematics
• Sobolev spaces

NONEXISTENCE RESULTS FOR NONLOCAL EQUATIONS WITH CRITICAL AND SUPERCRITICAL NONLINEARITIES XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We prove nonexistence of nontrivial bounded solutions to some nonlinear problems invo

Source URL: www.ma.utexas.edu

• Operator theory
• Multivariable calculus
• Sobolev spaces
• Fourier analysis
• Harmonic functions
• Laplace operator
• Hilbert space
• Sobolev inequality
• Differential operator
• Mathematical analysis
• Calculus
• Mathematics

` TREBALL DE FI DE MASTER Minimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weights Autor: Xavier Ros

Source URL: www.ma.utexas.edu

• Sobolev spaces
• Inequalities
• Sobolev inequality
• Partial differential equations
• Calculus of variations
• Isoperimetric inequality
• Ordinal number
• Poincaré inequality
• Mathematical analysis
• Calculus
• Mathematics

THE EXTREMAL SOLUTION FOR THE FRACTIONAL LAPLACIAN XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We study the extremal solution for the problem (−∆)s u = λf (u) in Ω, u ≡ 0 in Rn \ Ω, where λ > 0 is a parameter

Source URL: www.ma.utexas.edu

• Differential operators
• Sobolev spaces
• Partial differential equations
• Spectral theory
• Fourier analysis
• Ordinal number
• Constructible universe
• Sobolev inequality
• Laplace operator
• Mathematical analysis
• Calculus
• Mathematics

1 Wet Paper Codes with Improved Embedding Efficiency Jessica Fridrich, Member, IEEE, Miroslav Goljan, and David Soukal

Source URL: www.ws.binghamton.edu

• Coding theory
• Category theory
• Differential topology
• Embedding
• Order theory
• Linear code
• Steganography
• Sobolev inequality
• Mathematics
• Topology
• Abstract algebra