THE DIRICHLET PROBLEM FOR THE FRACTIONAL LAPLACIAN: REGULARITY UP TO THE BOUNDARY XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We study the regularity up to the boundary of solutions to the Dirichlet problem for the fract

Source URL: www.ma.utexas.edu

• Partial differential equations
• Constructible universe
• Free boundary problem
• Harmonic function
• Heat equation
• Ordinal numbers
• Sobolev spaces
• Symbol
• Ordinal arithmetic
• Calculus
• Mathematics
• Mathematical analysis

LOCAL INTEGRATION BY PARTS AND POHOZAEV IDENTITIES FOR HIGHER ORDER FRACTIONAL LAPLACIANS XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We establish an integration by parts formula in bounded domains for the higher order f

Source URL: www.ma.utexas.edu

• Fourier analysis
• Harmonic functions
• Partial differential equations
• Constructible universe
• Laplace operator
• Sheaf
• Congruence lattice problem
• Sobolev space
• Mathematical analysis
• Calculus
• Mathematics

THE DIRICHLET PROBLEM FOR NONLOCAL OPERATORS WITH SINGULAR KERNELS: CONVEX AND NONCONVEX DOMAINS XAVIER ROS-OTON AND ENRICO VALDINOCI Abstract. We study the interior regularity of solutions to the Dirichlet problem Lu =

Source URL: www.ma.utexas.edu

• Fourier analysis
• Fractional calculus
• Constructible universe
• Mathematical analysis
• Sobolev spaces
• 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

On the Hunter-Saxton equation on Diff A (R) Peter W. Michor Norwegian Summer School on Analysis and Geometry Bergen, Norway. Based on [ Martin Bauer, Martins Bruveris, M: The homogeneous Sobolev metric

Source URL: www.mat.univie.ac.at

A STRUCTURALLY DAMPED PLATE EQUATION WITH DIRICHLET-NEUMANN BOUNDARY CONDITIONS ROBERT DENK AND ROLAND SCHNAUBELT Abstract. We investigate sectoriality and maximal regularity in Lp -Lq Sobolev spaces for the structurally

Source URL: www.math.kit.edu

UDKON THE SYNCHROTRON RADIATION OF ULTRARELATIVISTIC ELECTRONS MOVING ALONG CURVED SPIRAL TRAJECTORY Ya.M. Sobolev Institute of Radio Astronomy, NAS of Ukraine, Kharkov, Ukraine

Source URL: www.kipt.kharkov.ua

¯ Line shape of ψ(3770) in e+ e− → D D N. N. Achasov a ∗, G. N. Shestakov a † a Laboratory of Theoretical Physics, S.L. Sobolev Institute for Mathematics, SD RAN,

Source URL: quarks.inr.ac.ru

NFN - Nationales Forschungsnetzwerk http://www.gs.jku.at G+S Report No. 21

Source URL: www.gs.jku.at

• Sobolev spaces
• Fourier analysis
• Fractional calculus
• Vector space
• Algebra
• Mathematics
• Linear algebra

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