Isaac Newton Institute for Mathematical Sciences

Nonlinear Partial Differential Equations

8 Jan - 6 Jul 2001

Organisers: H Brezis (Paris), EN Dancer (Sydney) JF Toland (Bath),NS Trudinger (Aust Nat Univ)

Isaac Newton Institute for Mathematical Sciences

A Newton Institute Workshop

Geometric Evolutions and Nonlinear Elliptic Equations

26 Mar - 6 Apr 2001

Timetable:

List of participants

Monday 26 March

09.00-10.00 Registration

10.00-11.00 K Ecker (Monash)

Local mean value and monotonicity formulas for mean curvature flow

11.00-11.30 Coffee

11.30-12.30 V Galaktionov (Bath)

Backward and forward problems of blow-up in nonlinear parabolic
equations

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 L Caffarelli (Austin)

Mass transfer and Monge Ampere equations

15.00-15.30 Tea

16.00-17.00 N Ivochkina (St Petersburg)

On degenerate fully nonlinear equations

17.30-18.30 Wine Reception

19.00- . Dinner at Wolfson Court

Tuesday 27 March

10.00-11.00 J Velazquez (Madrid)

Singular behaviours in mean curvature flow

11.00-11.30 Coffee

11.30-12.30 T Ilmanen (ETHZ)

Minimal hypersurfaces and mean curvature flow
with $L^2$ curvature bounds

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 W Klingenberg (Humboldt)

Deformation of Pseudoconvex Hypersurfaces

15.00-15.30 Tea

19.00- . Dinner at Wolfson Court

Wednesday 28 March

10.00-11.00 M Struwe (ETHZ)

Curvature flows

11.00-11.30 Coffee

11.30-12.30 B Chow (UCSD)

Aleksandrov reflection and expanding curvature flows
of Euclidean convex hypersurfaces

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-14.25 M-T Wang (Stanford)

Deformation of symplectic diffeomorphisms
to isometries under mean curvature flow

14.30-14.55 K Smoczyk (MPI Leipzig)

Angle theorems for the Langrangian mean curvature flow

15.00-15.30 Tea

15.30-15.55 S Brendle (Tu"bingen)

A family of curvature flows on surfaces with boundary

16.00-16.25 M Simon (Freiburg)

The deformation of $C^0$ Riemannian metrics in the direction of their
Ricci curvature

19.00- . Conference dinner at Wolfson Court

Thursday 29 March

10.00-11.00 G Huisken (Tu"bingen)

Higher regularity for inverse mean curvature flow

11.00-11.30 Coffee

11.30-12.30 H-D Cao (Texas A&M)

On type II singularities of the Ka"hler-Ricci flow

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 Evolution equations clinic

15.00-15.30 Tea

15.30-16.30 Evolution equations clinic (continued)

19.00- . Dinner at Wolfson Court

Friday 30 March

10.00-11.00 P Topping (Warwick)

Reverse bubbling and nonuniqueness in the harmonic map flow

11.00-11.30 Coffee

11.30-11.55 X-N Ma (Bar-Ilan)

A sufficient condition for the Christoffel-Minkowski problem

12.00-12.25 BH Andrews (ANU)

Christoffel-Minkowski problems, continued: the flow approach

12.30-13.30 Lunch at the Centre for Mathematical Sciences

15.00-15.30 Tea

19.00- . Dinner at Wolfson Court

Monday 2 April

09.00-10.00 Registration

10.00-11.00 X Cabre' (Barcelona)

Nonconvex fully nonlinear elliptic equations:
$C^{2,\alpha}$ regularity for some Bellman-Isaacs equations

11.00-11.30 Coffee

11.30-12.30 F Tomi (Heidelberg)

On expansions of hypersurfaces

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 J Urbas (ANU)

Interior estimates for solutions of $k$-curvature equations

15.00-15.30 Tea

16.30-17.30 A Schnirelman (Tel Aviv)

Special Seminar: Braids, Flows and Magnetic Equilibria

17.30-18.30 Wine Reception

19.00- . Dinner at Wolfson Court

Tuesday 3 April

10.00-11.00 X Wang (ANU)

New results for locally convex hypersurfaces in Euclidean space

11.00-11.30 Coffee

11.30-12.30 R Schaetzle (ETHZ)

Quadratic tilt-excess decay and strong maximum principle for varifolds

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 J Norbury (Oxford)

Pattern Formation in Fast Reaction Slow Diffusion Equations with
Convex Nonlinearities that are Inhomogeneous in the Domain

More info

15.00-15.30 Tea

16.00-17.00 U Cegrell (Umea)

The complex Monge-Ampe`re operator

19.00- . Dinner at Wolfson Court

Wednesday 4 April

10.00-11.00 P Delanoe" (Nice)

Non-existence for second order fully nonlinear elliptic equations

11.00-11.30 Coffee

11.30-12.30 M Bardi (Padova)

Some asymptotic problems for degenerate parabolic
Hamilton-Jacobi-Bellman equations

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 G Citti (Bologna)

Regularity for solutions of the Levi curvature equation

15.00-15.30 Tea

16.00-16.30 P Bayard (Nice)

The Dirichlet problem for Lorentzian curvature equations

19.00- . Conference dinner at Wolfson Court

Thursday 5 April

10.00-11.00 YY Li (Rutgers)

Extensions to a theorem of Jorgens, Calabi and Pogorelov

11.00-11.30 Coffee

11.30-12.30 Y Brenier (CNRS Nice / Paris 6)

Geometric evolution equations for fluids and plasmas

12.30-13.30 Lunch at the Centre for Mathematical Sciences

14.00-15.00 Nonlinear equations clinic

15.00-15.30 Tea

15.30-16.30 Nonlinear equations clinic (continued)

19.00- . Dinner at Wolfson Court

Friday 6 April

10.00-11.00 X Chen (Princeton)

Kaehler Ricci flow in Kaehler-Einstein manifolds

11.00-11.30 Coffee

11.30-12.30 P-F Guan (McMasters)

On a conjecture of Chern-Levine-Nirenberg regarding the invariant norm

12.30-13.30 Lunch at the Centre for Mathematical Sciences

15.00-15.30 Tea

19.00- . Dinner at Wolfson Court