| Yifeng Yu |
 |
| Email address: |
yifengyu@math.utexas.edu
|
| Voice
Phone Number: |
512-475-8145 |
| Office: |
RLM
10-148
|
| Research interest: |
Partial
Differential Equations |
My paper and preprints:
| [1] Tangent lines of contact for the
Infinity Laplacian, Calc. Var. Partial
Differential Equations 21 (2004),
no. 4, 349--355 |
| [2]
$L^{\infty}$ variational problems and Aronsson equations, Arch.
Rational. Mechanics. Anal, 182,
no1, 153-180. |
| [3]
Various
properties of solutions to the
infinity
Laplacian equation, (with L.C. Evans). Comm. Partial Differential Equations,
30 (2005),
no. 7-9,
1401--1428. |
[4] Genralized
cone comparion
principle for
viscosity solutions of the Aronsson equation and absoute minimizers,
(with
Ron Gariepy, Changyou Wang), Comm. Partial
Differential Equations. 31
(2006), no. 7-9, 1027-1046.
|
| [5] Some
properites of the
infinity ground state, Indiana
university
mathematics Journal. 56 No. 2 (2007),
947–964 |
| [6] A remark on the
semiclassical measure, Proc. Amer. Math. Soc. 135 (2007), no.5,1449-1454. |
| [7] $C^1$-regularity
of the Aronsson equation in $\R^2$, (with Changyou wang), to appear
in Annales
I'Institut H. Poincar\'e- Analyse non lin\'eaire. |
[8] $L^{\infty}$ variational problems and weak KAM
theory, Comm.
Pure Appl. Math, Vol.
60, 1111-1147 (2007).
|
| [9] A simple proof of the propagation
of
singularities for solutions of Hamilton-Jacobi equations, , Ann. Sc. Norm.
Super. Pisa. Cl. Sci. (5). 2006, 439-444. |
| [10] Singular
set of a convex potential in two
dimensions, to
appear in Comm.
Partial Differential Equations. |
[11] A
remark on the $C^2$
solution of the infinity Laplacian equation, Electron. J. Diff. Eqns.,
Vol.
2006(2006), No. 122, pp. 1-4.
|
[12] Derivation
of
Aronsson equation for $C^1$ Hamiltonian, (with M.G. Crandall,
Changyou
Wang), to appear in Trans. Amer. Math. Soc.
|
[13] Asymptotic
behavior
of infinity harmonic functions near isolated singularity,
(with
Ovidius Savin, Changyou Wang), to appear in Int. Math. Res. Not.
|
[14] Uniqueness
and
Nonuniqueness of viscosity solutions of Aronsson equations, (with
Robert Jensen, Changyou Wang), accepted by Arch. Rational.
Mechanics. Anal.
|
[15] uniqueness
of values
of Aronsson operators and applications to ``tug-of-war" game
theory, submitted.
|
[16] Dynamics
of propagation of singularities of semiconcave functions, (with P.
Cannarsa), to appear in J. Eur. Math. Soc
(JEMS).
|
[17] Properties of effective Hamiltonian and
connections with Aubry-Mather theory in two dimension, submitted.
|
My teaching:
2008 Spring: Instructor
for 340L and 372K
Links:
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