[spector]

Assistant Professor, National Chiao Tung University in Hsinchu, Taiwan

**Email:** *dspector AT math.nctu.edu.tw*

**Home-page:** https://sites.google.com/site/danielspectormathematics/

- D. Spector - S. Spector (Preprint)

Uniqueness of Equilibrium with Sufficiently Small Strains in Finite Elasticity (2018) - I. Shafrir - D. Spector (Preprint)

Best constants for two families of higher order critical Sobolev embeddings (2018) - D. Spector (preprint)

An Optimal Sobolev Embedding for $L^1$ (2018) - A. Ponce - D. Spector (Preprint)

A decomposition by non-negative functions in the Sobolev space $W^{k, 1}$ (2018) - D. Spector - J. Van Schaftingen (Preprint)

Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma (2018) - N. Fusco - D. Spector (Preprint)

A Remark on an Integral Characterization of the Dual of BV (2017) - A. Ponce - D. Spector (Preprint)

A Boxing Inequality for the Fractional Perimeter (2017) - J. Goodman - D. Spector (Preprint)

Some remarks on boundary operators of Bessel extensions (2017) - A. Ponce - D. Spector (Preprint)

A note on the Fractional Perimeter and Interpolation (2017) - D. Spector (Preprint)

A note on the sublinear Sobolev inequality (2016) - A. Schikorra - T. T. Shieh - D. Spector (Submitted Paper)

Regularity for a fractional $p$-Laplace equation (2016) - D. Spector - A. Ponce (Preprint)

On formulae decoupling the total variation of BV functions (2016) - T. T. Shieh - D. Spector (Submitted Paper)

On a new class of fractional partial differential equations II (2016) - A. Schikorra - T. T. Shieh - D. Spector (Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)

$L^p$-theory for fractional gradient PDE with VMO coefficients (2015) - D. Spector (Preprint)

On a generalization of $L^p$-differentiability (2015) - R. Garg - D. Spector (C. R. Acad. Sci. Paris Sér. I Math.)

On regularity of solutions to Poisson's equation (2014) - G. Psaradakis - D. Spector (J. Funct. Anal.)

A Leray-Trudinger Inequality (2014) - D. Spector (Accepted Paper:
*C. R. Acad. Sci. Paris Sér. I Math*)

$L^p$-Taylor approximations characterize the Sobolev space $W^{1,p}$ (2014) - R. Garg - D. Spector (Accepted Paper:
*Indiana Univ. Math. J.*)

On the role of Riesz potentials in Poisson's equation and Sobolev embeddings (2014) - J. Lellmann - K. Papafitsoros - C. Schönlieb - D. Spector (Accepted Paper:
*SIAM J. Imaging Sci.*)

Analysis and Application of a Non-Local Hessian (2014) - A. Schikorra - D. Spector - J. Van Schaftingen (Rev. Mat. Iberoam.)

An $L^1$-type estimate for Riesz potentials (2014) - D. Spector - T. Mengesha (Accepted Paper:
*Calc. Var. and PDE*)

Localization of Nonlocal Gradients in Various Topologies (2013) - T. T. Shieh - D. Spector (Accepted Paper:
*Adv. Calc. Var.*)

On a new class of fractional partial differential equations (2013) - G. Leoni - D. Spector (
*Journal of Functional Analysis*)

Characterization of Sobolev and BV spaces (2011) - D. Spector (Accepted Paper:
*Proc. Amer. Math. Soc.*)

Simple proofs of some results of Reshetnyak (2010)

*29 oct 2018 - 31 oct 2018:*Workshop “New developments in PDEs and related topics”*8 feb 2016 - 12 feb 2016:*School and Workshop "PDEs and applications"