Results 261 to 270 of about 4,761,041 (315)
Distributions and Sobolev Spaces [PDF]
, 2015 We have seen the concept of Dirac measure arising in connection with the fundamental solutions of the diffusion and the wave equations. Another interesting situation is the following, where the Dirac measure models a mechanical impulse.
openaire +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Embeddings of Anisotropic Sobolev Spaces
Archive for Rational Mechanics and Analysis, 1986This paper deals with the approximation and the entropy numbers of the embedding I of an anisotropic Sobolev space \(W^{r,p}(\Omega)\) into an Orlicz space \(L^{\phi}(\Omega)\), where \(\Omega\) is an open subset of \({\mathbb{R}}^ n\).
David E. Edmunds, R. M. Edmunds
openaire +2 more sources
2014
Chapter 6 is devoted to the precise definitions and statements of Sobolev and Besov spaces of L p type with some detailed proofs. One of the most useful ways of measuring differentiability properties of functions is in terms of $$L^{p}$$ norms, and is provided by the Sobolev spaces.
openaire +2 more sources
Chapter 6 is devoted to the precise definitions and statements of Sobolev and Besov spaces of L p type with some detailed proofs. One of the most useful ways of measuring differentiability properties of functions is in terms of $$L^{p}$$ norms, and is provided by the Sobolev spaces.
openaire +2 more sources
The Lebesgue and Sobolev Spaces
2014The main focus of chapter 8 is the establishment of basic concepts on Lebesgue and Sobolev spaces. The results developed include the classical Sobolev imbedding and trace theorems for a special class of domains.
openaire +2 more sources
On one generalization of Sobolev spaces
Siberian Mathematical Journal, 1998In [Potential Anal. 5, No. 4, 403-415 (1996; Zbl 0859.46022)], \textit{P. Hajłasz} defined the Sobolev space \(S^1_p(X)\) on an arbitrary metric space.
openaire +3 more sources
Description of traces of functions in the Sobolev space with a Muckenhoupt weight
, 2014A. Tyulenev
semanticscholar +1 more source
A Trudinger–Moser inequality in a weighted Sobolev space and applications
, 2014M. Furtado, E. Medeiros, U. Severo
semanticscholar +1 more source
Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
exaly
The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
exaly
A Poincaré inequality in a Sobolev space with a variable exponent
, 2011P. G. Ciarlet, G. Dincă
semanticscholar +1 more source