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Conference dinner will take place on Monday the 11th.

Titles and Abstracts 

August 8, Morning Session/ Chair: Sun-Sig Byun

Lihe Wang
(Jiao Tong University & University of Iowa)
 Geometry and analysis for elliptic equations

Nguyen Cong Phuc
 (Louisiana State University)

 The Naver-Stokes equations in nonendpoint borderline Lorentz spaces

Shulin Zhou (Peking University)

 Existence and uniqueness of weak solutions for 2D low-curvature equation

August 8, Afternoon Session/ Chair: Lihe Wang

Christoph Scheven (University of Duisburg-Essen)

 The heat flow for surfaces of prescribed mean curvature


Eun Kyoung Lee (Pusan National University)

 Positive radial solutions on exterior domains with nonlinear boundary conditions

Myoungjean Bae (POSTECH)
 Degenerate elliptic equations related to Prandtl-Meyer reflection

Seungjin Ryu
(University of Seoul)

 Weighted Orlicz estimates for general nonlinear parabolic equations over nonsmooth domains

Chunqin Zhou
(Jiao Tong University)

 Existence results for mean field equation of the equilibrium turbulence in the super critical case

Yumi Cho (Seoul National University)

 Global gradient estimates for nonlinear obstacle problems


August 9, Morning Session/ Chair: Zhongwei Shen

Lubomira Softova (Seconda Universita di Napoli)

 Lp-integrability of the gradient of solutions to quasilinear systems with discontinuous coefficients

Tuomo Kuusi
(Aalto University)

 A quantitative modulus of continuity for the two-phase Stefan problem

Tong Li (University of Iowa)

 Global wellposedness and traveling wave solutions of PDE models of chemotaxis


August 9, Afternoon Session/ Chair: Tuomo Kuusi

Yannick Sire
(Universite d'Aix-Marseille III)

 Nonlocal phase transitions

Martin Dindos (University of Edinburgh)

 The stationary Navier-Stokes system in nonsmooth manifolds

Hayk Mikayelyan (Xi'an Jiaotong-Liverpool University)

 An elliptic equation with discontinuous coefficients on the level set and the Bellman equation

Yong-Cheol Kim (Korea University)

 Regularity results for nonlocal fully nonlinear equations

Deliang Xu (Jiao Tong University)

 Regularity of dirac-harmonic maps with general potential by assuming integrability in Zygmmund space LlogL

Sukjung Hwang
(University of Edinburgh)

 Hölder continuity of a bounded weak solution of generalized parabolic p-Laplacian equations.


August 10, Morning Session/ Chair: Ki-Ahm Lee

Kin Ming Hui (Academia Sinica)

 Asympoptic behavior of solutions of the higher dimensional logarithmic diffusion equation

Panagiota Daskalopoulos (Columbia University)

 Type II ancient compact solutions to the Yamabe flow

Yoshie Sugiyama (Kyushu University)

 Uniqueness theorem on weak solutions to the Keller-Segel system of degenerate and singular types


August 10, Afternoon Session/ Chair: Kin-Ming Hui

Futoshi Takahashi
(Osaka City University)

 Extremal solutions to Liouville-Gelfand type elliptic problems with nonlinear Neumann boundary conditions

Xu-Jia Wang (Australian National University)

 The Lp-Minkowski problem

Hyunsuk Kang (GIST)

 Evolution of convex hypersurfaces by the square root of the scalar curvature with an anisotropic factor

Lami Kim (Hokkaido University)

 α-Gauss curvature flows with flat sides

Soojung Kim

 Harnack inequality for nondivergent parabolic operators on Riemannian manifolds


August 11, Morning Session/Chair: Panagiota Daskalopoulos

Yoshihiro Tonegawa (Hokkaido University)

 A regularity theorem for Brakke's curvature flow of networks

Juan Luis Vazquez (Universidad Autónoma de Madrid)

 Nonlinear diffusion with fractional Laplacian operators

Seick Kim (Yonsei University)

 Green's function for elliptic and parabolic systems with discontinuous coefficients


August 11, Afternoon Session/ Chair: Seick Kim 

James McCoy
(University of Wollongong)

 Fully nonlinear curvature flow of axially symmetric hypersurfaces

Matteo Bonforte (Universidad Autónoma de Madrid)

 A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on bounded domains

Werner Varnhorn (Kassel University)

 On optimal initial value conditions for strong solutions of the Navier-Stokes equations

Daniel Hauer (University of Sydney)

 Uniform convergence of solutions to elliptic equations on domains with shrinking holes

Minha Yoo (NIMS)

 A drift approximation for qusi-linear parabolic PDEs with oblique boundary data


August 12, Morning Session/ Chair: Juan Luis Vazquez

Natasa Sesum (Rutgers University)

 Singularity formation in the Yamabe flow

Robert McCann (University of Toronto)

 Optimal transport: old and new

Zhongwei Shen (University of Kentucky)

 Convergence Rates in Almost-Periodic Homogenization