Fetching the paper…

Reading the bibliography…

2019

Continuity and canceling operators of order $n$ on $\mathbb{R}^n$

Raiţă, Bogdan, Skorobogatova, Anna

Original
PDF
Post on X

Understand

We prove that for elliptic and canceling linear differential operators $\mathbb{B}$ of order $n$ on $\mathbb{R}^n$, continuity of a map $u$ can be inferred from the fact that $\mathbb{B} u$ is a measure.

We also prove strict continuity of the embedding of the space $\mathrm{BV}^{\mathbb{B}}(\mathbb{R}^n)$ of functions of bounded $\mathbb{B}$-variation into the space of continuous functions vanishing at infinity.

Continuity and canceling operators of order $n$ on $\mathbb{R}^n$ · Around

Built on

Davoli, E
Original
1902
Earlier work this paper cites.
Smith, K. T
1961
Earlier work this paper cites.
Ornstein, D
1962
Earlier work this paper cites.
Smith, K. T
1970
Earlier work this paper cites.
Anzellotti, G
1980
Earlier work this paper cites.
Strang, G
1980
Earlier work this paper cites.
Brezis, H
1983
Earlier work this paper cites.
Lions, P.L
1985
Earlier work this paper cites.
Dorronsoro, J. R
1989
Earlier work this paper cites.
Kałamajska, A
1993
Earlier work this paper cites.
Kałamajska, A
1994
Earlier work this paper cites.
Ambrosio, L
2000
Earlier work this paper cites.

Similar

Bourgain, J
2003
Cited alongside, same era.
Bourgain, J
2004
Cited alongside, same era.
Van Schaftingen, J
2004
Cited alongside, same era.
Van Schaftingen, J
2004
Cited alongside, same era.
Roginskaya, M
2006
Cited alongside, same era.
Bourgain, J
2007
Cited alongside, same era.
Fonseca, I
2007
Cited alongside, same era.
Ponce, A. C
2007
Cited alongside, same era.

Then

Bousquet, P
2014
Later among the works it cites.
Rindler, F
2015
Later among the works it cites.
Kirchheim, B
2016
Later among the works it cites.
Arroyo-Rabasa, A
2017
Later among the works it cites.
Breit, D
Original
2017
Later among the works it cites.
Gmeineder, F
Original
2017
Later among the works it cites.
Arroyo-Rabasa, A
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Van Schaftingen, J

2008

Cited alongside, same era.

Ziemer, W. P

2012

Cited alongside, same era.

Maz’ya, V

2013

Cited alongside, same era.

Van Schaftingen, J

2013

Cited alongside, same era.

2018

Later among the works it cites.

2018

Later among the works it cites.

2018

Later among the works it cites.

Brezis, H

2019

Closest in time.

Gmeineder, F

2019

Closest in time.