September 19, X. Zhou:
A brief introduction to the viscosity solution
In this talk, we will give a brief introduction to viscosity solution theory. In particular, we will study the comparison principle for viscosity solutions to a general class of second-order fully nonlinear equations.
September 12, S. Malekzadeh:
A characterization of mappings of bounded length distortion
September 5, J. Mirra:
Brezis Nguyen Jacobian Determinant for W^((N-1)/N , N)
November 4, S. Zimmerman:
Lipschitz Extensions Of Mappings Into Lipschitz-connected Metric Spaces
October 28, X. Zhou:
Sobolev Homeomorphism On A Sphere Containing An Arbitrary Cantor Set In The Image
October 21, S. Malekzadeh:
Metric Differentiability - Kirchheim, Rademacher Theorem
September 30, October 7, October 14, S. Zimmerman:
The unrectifiability of Hn
September 23, S. Malekzadeh:
Lusin condition (N) for W1,n functions - A new proof
September 16, J. Mirra:
April 3, Qing Liu:
An elementary introduction to viscosity solution theory
March 27, S. Malekzadeh:
Measures on Rn and von Neumann theorem (II)
March 20, S. Malekzadeh:
Measures on Rn and von Neumann theorem (I)
March 6, J. Mirra:
Classification of all Conformal Maps on domains in R^n (Assuming C^4 Differentiability)
This talk was based on pp. 255-283 of the notes.
February 27, Dr. P. Hajlasz:
The theorem of Meyers and Ziemer
February 20, Soheil Malekzadeh:
Lusin's condition (N) and mappings of the class W^1,n
February 6 - 8, Scott Sheffield:
PDEs, Politics and Tug-of-War
January 30, Kevin Wildrick:
The Heisenberg group as a metric space
January 23, S. Zimmerman:
Whitney Extension Theorem
January 9, J. Mirra:
Generalized Luzin's Theorem
December 4, S. Malekzadeh:
Change of variables for locally Lipschitz mappings
November 28, X. Zhou:
The Hausdorff Dimension of the Cantor Set
November 14, P. Hajlasz:
Maximal functions and Sobolev spaces (Not yet available.)
October 31, S. Malekzadeh: The change of variables formula under the miniman assumptions
The talk is based on the paper:
October 24, S.Zimmerman: The Sard theorem.
The talk is based on the proof that you can find in the following book on pages 195-198.
J.E.Marsden, T.Ratiu, R.Abraham, Manifolds, Tensor Analysis, and Applications
October 17, P.Hajlasz: Brunn-Minkowski inequality, isoperimetric inequality and the boxing inequality.
The Brunn-Minkowski inequality.
The boxing inequality.
October 10, P.Hajlasz: Sobolev inequality, isoperimetric inequality and Gromov's proof.
I covered the material from pages 166-193 from the following notes: