Advances in Nonlinear Analysis

Program

Download full program as ps file, or as TEX file. (Only collected abstracts, the schedule can be found below. A printed version of the complete program including additional information will be provided at the conference.)

Conference location: Giant Eagle Auditorium, Baker Hall.

Time Friday, May 30 Saturday, May 31 Sunday, June 1

8.00-9.00 Continental breakfast
(Giant Eagle Auditorium, Baker Hall) Continental breakfast
(Giant Eagle Auditorium, Baker Hall) Continental breakfast
(Giant Eagle Auditorium, Baker Hall)

9.00-9.45
Chair: Irene Fonseca
G. Dal Maso, SISSA, Trieste
Existence results for variational models in fracture mechanics
Chair: David Kinderlehrer
R. D. James, Minneapolis
The possible existence of some interesting hybrid materials nominally forbidden by basic physics
Chair: Victor Mizel
G. Alberti, Pisa
Ginzburg-Landau functionals and the Plateau problem.
A variational approach

10.00-10.45 K. Bhattacharya, Caltech
Free boundary problems in heterogeneous bodies B. Dacorogna, Lausanne
Viscosity solutions and almost everywhere solutions of first order partial differential equations G. Dolzmann, Maryland
Variational problems in the analysis of solid-solid phase transformations

10.45-11.15 Coffee break Coffee break Coffee break

11.15-12.00 J. Malý, Charles University, Prague
Scalar minimizers with fractal singular sets G. Buttazzo, Pisa
Optimal networks in mass transportation problems P. Marcellini, Florence
Implicit partial differential equations

12.00-2.00 Lunch break Lunch break Lunch break

2.00-2.45
Chair: David Owen
A. Garroni, Rome
Gamma-limit of a variational model for dislocations Special sessions, see table below
Chair: Gianni Dal Maso
E. Acerbi, Parma
From p-laplacian to
p(x)-laplacian

3.00-3.45 A. Braides, Rome
Multiple scale effects in the passage from discrete to continuum variational problems G. Friesecke, Warwick
Minimum energy configurations of large atomistic systems

3.45-4.15 Coffee break Coffee break

4.15-5.00 Free for discussions R. V. Kohn, Courant, New York
A continuum approach to structure of twist grain boundaries

6.30 Welcome reception
(Schatz Dining Room, University Center)

Time	Friday, May 30	Saturday, May 31	Sunday, June 1
8.00-9.00	Continental breakfast (Giant Eagle Auditorium, Baker Hall)	Continental breakfast (Giant Eagle Auditorium, Baker Hall)	Continental breakfast (Giant Eagle Auditorium, Baker Hall)
9.00-9.45	Chair: Irene Fonseca G. Dal Maso, SISSA, Trieste Existence results for variational models in fracture mechanics	Chair: David Kinderlehrer R. D. James, Minneapolis The possible existence of some interesting hybrid materials nominally forbidden by basic physics	Chair: Victor Mizel G. Alberti, Pisa Ginzburg-Landau functionals and the Plateau problem. A variational approach
10.00-10.45	K. Bhattacharya, Caltech Free boundary problems in heterogeneous bodies	B. Dacorogna, Lausanne Viscosity solutions and almost everywhere solutions of first order partial differential equations	G. Dolzmann, Maryland Variational problems in the analysis of solid-solid phase transformations
10.45-11.15	Coffee break	Coffee break	Coffee break
11.15-12.00	J. Malý, Charles University, Prague Scalar minimizers with fractal singular sets	G. Buttazzo, Pisa Optimal networks in mass transportation problems	P. Marcellini, Florence Implicit partial differential equations
12.00-2.00	Lunch break	Lunch break	Lunch break
2.00-2.45	Chair: David Owen A. Garroni, Rome Gamma-limit of a variational model for dislocations	Special sessions, see table below	Chair: Gianni Dal Maso E. Acerbi, Parma From p-laplacian to p(x)-laplacian
3.00-3.45	A. Braides, Rome Multiple scale effects in the passage from discrete to continuum variational problems		G. Friesecke, Warwick Minimum energy configurations of large atomistic systems
3.45-4.15	Coffee break		Coffee break
4.15-5.00	Free for discussions		R. V. Kohn, Courant, New York A continuum approach to structure of twist grain boundaries
6.30		Welcome reception (Schatz Dining Room, University Center)

Special sessions on Saturday, May 31, afternoon:

Room: Wean Hall 6423 Room: Wean Hall 8427 Room: Wean Hall 5403

Time I A Partial Differential Equations
Chair: Massimiliano Morini II A Phase Boundaries and
Geometrical Evolution
Chair: Georg Dolzmann III Calculus of Variations
Chair: Marc Oliver Rieger

2.00 G. Pisante, Lausanne
Sufficient conditions for the existence of viscosity solutions for non convex Hamiltonians S. Watson, Northwestern Univ.
Coarsening dynamics of faceted crystal surfaces Q. Xia, Univ. of Texas
Variational problems in the intersection homology theory of singular varities

2.20 A. Domokos, Univ. of Pittsburgh
Regularity results for the p-Laplacian in the Heisenberg group H. Merdan, Univ. of Pittsburgh
Renormalization group methods and regimes in interface problems S. Levine, Duquesne Univ., Pittsburgh
Nonstandard Growth Functionals in Image Restoration

2.40 A. Tudorascu, Carnegie Mellon
General Fokker-Planck Equations via Monge-Kantorovich-Theory Y. Altundas, Univ. of Minnesota
Parallel Computation of Phase Field Model and Comparision with the Experiment L. Freddi, Udine
A Young measures theory for martensitic thin films via dimension reduction

3.00 C. Rios, Mc Master Univ.
A higher dimensional Partial Legendre Transform and regularity of degenerate Monge Ampere equations J. S. Moll, Valencia
The Total Variation Flow with Measure Initial Conditions V. Kucher, San Diego
The second variation of a two-phase potential and some necessary conditions for local minimizers at an interface

3.20 Coffee break in the Lounge (Wean Hall 6620) Coffee break in the Lounge (Wean Hall 6620) Coffee break in the Lounge (Wean Hall 6620)

I B Partial Differential Equations and Numerical Analysis II B Homogenization and Calculus of Variations III Calculus of Variations (cont.)

4.00 X. Yao, Texas A&M Univ.
A Minimax Method for Finding the Eigenpairs of Nonlinear Operators M. Camar-Eddine, Univ. of Utah
Determination of the closure of the set of elasticity functionals N. Jung, Urbana-Champaign
Continuity Properties of Distributional Determinant of the Hessian

4.20 I. Nikolova, Univ. of Pittsburgh
Level Set-like Method Applied to Solving Markstein (Eiconal) Equation C. Wang, Univ. of Kentucky
The Aronsson equation for absolute minimizer of L-infinity functional associated with vector fields satisfying Hormander's condition J. Zimmer, Caltech, Passadena
On the computation of certain nonconvex hulls

	Room: Wean Hall 6423	Room: Wean Hall 8427	Room: Wean Hall 5403
Time	I A Partial Differential Equations Chair: Massimiliano Morini	II A Phase Boundaries and Geometrical Evolution Chair: Georg Dolzmann	III Calculus of Variations Chair: Marc Oliver Rieger
2.00	G. Pisante, Lausanne Sufficient conditions for the existence of viscosity solutions for non convex Hamiltonians	S. Watson, Northwestern Univ. Coarsening dynamics of faceted crystal surfaces	Q. Xia, Univ. of Texas Variational problems in the intersection homology theory of singular varities
2.20	A. Domokos, Univ. of Pittsburgh Regularity results for the p-Laplacian in the Heisenberg group	H. Merdan, Univ. of Pittsburgh Renormalization group methods and regimes in interface problems	S. Levine, Duquesne Univ., Pittsburgh Nonstandard Growth Functionals in Image Restoration
2.40	A. Tudorascu, Carnegie Mellon General Fokker-Planck Equations via Monge-Kantorovich-Theory	Y. Altundas, Univ. of Minnesota Parallel Computation of Phase Field Model and Comparision with the Experiment	L. Freddi, Udine A Young measures theory for martensitic thin films via dimension reduction
3.00	C. Rios, Mc Master Univ. A higher dimensional Partial Legendre Transform and regularity of degenerate Monge Ampere equations	J. S. Moll, Valencia The Total Variation Flow with Measure Initial Conditions	V. Kucher, San Diego The second variation of a two-phase potential and some necessary conditions for local minimizers at an interface
3.20	Coffee break in the Lounge (Wean Hall 6620)	Coffee break in the Lounge (Wean Hall 6620)	Coffee break in the Lounge (Wean Hall 6620)
	I B Partial Differential Equations and Numerical Analysis	II B Homogenization and Calculus of Variations	III Calculus of Variations (cont.)
4.00	X. Yao, Texas A&M Univ. A Minimax Method for Finding the Eigenpairs of Nonlinear Operators	M. Camar-Eddine, Univ. of Utah Determination of the closure of the set of elasticity functionals	N. Jung, Urbana-Champaign Continuity Properties of Distributional Determinant of the Hessian
4.20	I. Nikolova, Univ. of Pittsburgh Level Set-like Method Applied to Solving Markstein (Eiconal) Equation	C. Wang, Univ. of Kentucky The Aronsson equation for absolute minimizer of L-infinity functional associated with vector fields satisfying Hormander's condition	J. Zimmer, Caltech, Passadena On the computation of certain nonconvex hulls

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The CNA, established in 1991, is a National Science Foundation sponsored research and training center concentrating in the areas including nonlinear analysis, continuum mechanics, scientific computation, and mathematical finance.