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Nonlinear Evolution Equations and Related Topics

Organizer(s):
Name:	Affiliation:	Country:
Goro Akagi	Tohoku University	Japan
Michinori Ishiwata	Osaka University	Japan
Mitsuharu Otani	Waseda University	Japan

Introduction:

This session will focus on the recent developments in the theory of Nonlinear Evolution Equations and Related Topics including the theory of abstract evolution equations in Banach spaces as well as the studies of several types of nonlinear partial differential equations (the existence, regularity, and asymptotic behavior of solutions).

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Goro Akagi	Tohoku University	Existence of distributional solutions to elliptic systems of $p$-Laplacian type for locally integrable forcing
Yutaro Chiyo	Tokyo University of Science, Department of Mathematics	Boundedness and stabilization in some degenerate parabolic-elliptic-elliptic attraction-repulsion chemotaxis system
Katsuyuki Ishii	Kobe University	A threshold type algorithm for fourth order geometric motions
Akisato Kubo	Fujita Health University	Non-linear evolution equations with non-local coefficients and smoothing effect
Jihoon Lee	Chonnam National University	Non-autonomous singular perturbations of semilinear problems with dynamic boundary conditions
Yoshifumi Mimura	Nihon University	A chimera gradient flow approach to chemotaxis systems with indirect signal production
Yoshihito Nakajima	Tohoku University	Existence of time-fractional gradient flows for nonconvex energies in Hilbert spaces
Tomoyuki Oka	Fukuoka Institute of Technology	Construction of distance functions for topology optimization
Yuya Tanaka	Department of Mathematical Sciences, Kwansei Gakuin University	Boundedness of solutions to a chemotaxis system with a Robin boundary condition
Shun Uchida	Oita University/Faculty of Science and Technology	Optimal control problem of evolution equation governed by hypergraph Laplacian
Yoshihiro Ueda	Kobe University	Stability of non-zero equilibrium states for the viscous conservation laws with delay effect
Riccardo Voso	University of Vienna	Weighted Energy-Dissipation approach to semilinear gradient flows with state-dependent dissipation
Tatsuya Watanabe	Kyoto Sangyo University	Standing waves for the nonlinear Schr\odinger-Poisson system with a doping profile