All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 7

Displaying 121 – 140 of 140

Showing per page

Functions with prescribed singularities

Giovanni Alberti, S. Baldo, G. Orlandi (2003)

Journal of the European Mathematical Society

The distributional k -dimensional Jacobian of a map u in the Sobolev space W 1 , k − 1 which takes values in the sphere S k − 1 can be viewed as the boundary of a rectifiable current of codimension k carried by (part of) the singularity of u which is topologically relevant. The main purpose of this paper is to investigate the range of the Jacobian operator; in particular, we show that any boundary M of codimension k can be realized as Jacobian of a Sobolev map valued in S k − 1 . In case M is polyhedral, the map we construct...

Fundamental solutions to the fractional heat conduction equation in a ball under Robin boundary condition

Yuriy Povstenko (2014)

Open Mathematics

The central symmetric time-fractional heat conduction equation with Caputo derivative of order 0 < α ≤ 2 is considered in a ball under two types of Robin boundary condition: the mathematical one with the prescribed linear combination of values of temperature and values of its normal derivative at the boundary, and the physical condition with the prescribed linear combination of values of temperature and values of the heat flux at the boundary, which is a consequence of Newton’s law of convective...

Funzioni ( p , q ) -convesse

Ennio De Giorgi, Antonio Marino, Mario Tosques (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We study a class of functions which differ essentially from those which are the sum of a convex function and a regular one and which have interesting properties related to Γ -convergence and to problems with non-convex constraints. In particular some results are given for the associated evolution equations.

Funzioni semiconcave, singolarità e pile di sabbia

Piermarco Cannarsa (2005)

Bollettino dell'Unione Matematica Italiana

La semiconcavità è una nozione che generalizza quella di concavità conservandone la maggior parte delle proprietà ma permettendo di ampliarne le applicazioni. Questa è una rassegna dei punti più salienti della teoria delle funzioni semiconcave, con particolare riguardo allo studio dei loro insiemi singolari. Come applicazione, si discuterà una formula di rappresentazione per la soluzione di un modello dinamico per la materia granulare.

Further generalized versions of Ilmanen’s lemma on insertion of C 1 , ω or C loc 1 , ω functions

Václav Kryštof (2021)

Commentationes Mathematicae Universitatis Carolinae

The author proved in 2018 that if G is an open subset of a Hilbert space, f 1 , f 2 : G → ℝ continuous functions and ω a nontrivial modulus such that f 1 ≤ f 2 , f 1 is locally semiconvex with modulus ω and f 2 is locally semiconcave with modulus ω , then there exists f ∈ C loc 1 , ω ( G ) such that f 1 ≤ f ≤ f 2 . This is a generalization of Ilmanen’s lemma (which deals with linear modulus and functions on an open subset of ℝ n ). Here we extend the mentioned result from Hilbert spaces to some superreflexive spaces, in particular to L p spaces, p ∈ [ 2 , ∞ ) . We also prove...

Currently displaying 121 – 140 of 140

Previous Page 7