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Averages andK-Functionals Related to the Laplacian

✍ Scribed by Z Ditzian; K Runovskii

Book ID
102579443
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
190 KB
Volume
97
Category
Article
ISSN
0021-9045

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✦ Synopsis

For R d or T d , averages on balls and spheres are shown to satisfy an equivalence relation with K-functionals that are generated by the Laplacian. The converse result is given in terms of strong converse inequality of type A and type D for the averages on the Ball and on the sphere, respectively. Combinations of averages on concentric balls and spheres yield strong converse results of type B for higher levels of smoothness. 1999 Academic Press B t ( f, x)= 1 m(B) t d | Bt f (x+u) dV(u),

πŸ“œ SIMILAR VOLUMES

Doubly nonlinear Volterra equations rela
Doubly nonlinear Volterra equations related to the p-Laplacian operator
✍ Sujin Kang πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 171 KB

In this paper we consider a doubly nonlinear Volterra equation related to the p-Laplacian with a nonsmooth kernel. By exploiting a suitable implicit time-discretization technique we obtain the existence of global strong solution. Copyright