The 24th Northeastern Symposiumon Mathematical Analysis
Date： 20 - 21 February 2023
Venue： Kawai Hall, Graduate School of Science, Tohoku University(at Kita-Aobayama Campus)
6-3, Aramaki Aza-Aoba, Aoba-ku,Sendai 980-8578
https://www.sci.tohoku.ac.jp/campusmap/kita-aobayama/
URL: https://www.math.sci.hokudai.ac.jp/sympo/nema/24_en.html

Program
20 February 2023
09:45 - 09:50

Opening

09:50 - 10:40

Takayoshi Ogawa (Tohoku University)
Maximal L1 regularity for parabolic equations and a free boundary problem of the Navier–Stokes equations

10:50 - 11:40Hiroaki Kikuchi (Tsuda University)
Threshold solutions for the 3D focusing cubic-quintic nonlinear
Schrödinger equation

11:40 - 13:10

Lunch (90min)

13:10 - 13:40

Tatsu-Hiko Miura (Hirosaki University)
Error estimate for classical solutions to the heat equation in amoving thin domain and its limit equation

13:50 - 14:20

Kotaro Hisa (Tohoku University)
Initial traces and solvability for a semilinear heat equation on ahalf space of RN

14:30 - 15:00

Yusuke Ishigaki (Tokyo Institute of Technology)
Asymptotic stability of stationary solutions to outﬂow problem
for compressible viscoelastic system

15:15 - 15:35

Shuntaro Tsubouchi (The University of Tokyo, D2)
Continuity of derivatives for certain very singular elliptic problems

15:35 - 15:55

Tatsuya Hosono (Tohoku University, D2)
Global existence and (8π)2 -threshold of solutions to the 4D attractionrepulsion chemotaxis system

16:00 - 16:30

Poster Preview (Zoom)

16:30 - 18:30

Poster Session (Zoom)

21 February 2023
10:00 - 10:50

Hideo Kubo (Hokkaido University)
Global existence and blow-up for nonlinear wave equations withinverse-square potential

11:00 - 11:30

Alessandro Palmieri (University of Bari)
Blow-up results for a semilinear wave equation in the expandingde Sitter spacetime

11:40 - 12:10

Nobuhito Miyake (The University of Tokyo)
Eventual global positivity of solutions to Cauchy problems ofpolyharmonic heat equations

12:10 - 13:40

Lunch (90min)

13:40 - 14:10

Takuya Sato (Tohoku University)
The initial boundary value problem for the nonlinear Schrödinger
equation with the nonlinear Neumann boundary condition in one
space dimension

14:20 - 14:40

Motofumi Aoki (Tohoku University, D3)
On the relationship between the Cauchy problem and the energy
conservation law for the compressible Navier–Stokes equations

14:40 - 15:00

Shun Tsuhara (Tohoku University, D2)
The boundary Strichartz estimates for the Schrödinger equationin the two-dimensional half plane and its application

15:00 - 15:20

Kiichi Tashiro (Tokyo Institute of Technology, M2)
On the construction of canonical mean curvature ﬂow by elliptic
regularization

15:30 - 15:50

Poster Award Ceremony

16:00 - 16:50

Philippe Souplet (Université Sorbonne Paris Nord)
Some recent Liouville type results and their applications (Zoom)

16:50 - 16:55

ClosingPosters
P1. Dáithı́ Ó hAodha (Tohoku University, D2)
Large-Time Behaviour of Solutions to the Linearised Compressible NavierStokes Equations
P2. Yudai Kanda (Tohoku University, M2)
Gradient inequality for a Sobolev gradient ﬂow and its application to GrossPitaevskii eigenvalue problem
P3. Sho Katayama (The University of Tokyo, M2)
Thresholds for the existence of solutions to supercritical elliptic problems
P4. Shunsuke Kitamura (Tohoku University, D1)
The lifespan estimates of classical solutions of one dimensional semilinear
wave equations of derivative type with characteristic weights
P5. Mizuki Kojima (Tokyo Institute of Technology, D1)
On a time-fractional doubly critical equation, and its quantitative approachto the classical counterpart
P6. Kenta Kumagai (Tokyo Institute of Technology, M2)
Regularity of extremal solutions of semilinear elliptic equations with general
nonlinearities
P7. Fuya Hiroi (Tohoku University, M2)
Curve diﬀusion ﬂow for planar open curves on V-shaped polygonal lines
P8. Kazuya Hirose (Hokkaido University, M2)
A dynamical approach to lower gradient estimates for viscosity solutions ofHamilton-Jacobi equations
P9. Shimpei Makida (Hokkaido University, D1)
Stability of viscosity solutions on expanding networks
P10. Hiroki Miyakawa (Tohoku University, M2)
Maximal regularity for degenerate elliptic and parabolic equations of p-Laplaciantype
P11. Yoshihito Nakajima (Tohoku University, M2)
Time-fractional evolution equations and applications to degenerate parabolicequations
P12. Shozo Ogino (Tohoku University, M2)
Singular limit problem of the initial value problem to the compressible NavierStokes equations in the critical Besov spaceP13. Yusuke Oka (The University of Tokyo, M2)
Existence of solutions for time fractional semilinear parabolic equations inBesov–Morrey spaces
P14. Akihito Ohgane (Hokkaido University, M2)
Appropriate selection of sensory input produces good swing movement
P15. Florian Salin (Tohoku University, D1)
Implicit Scheme for Fractional Nonlinear Diﬀusion Equation Preserving Decay of Energy
P16. Kotaro Sato (Tohoku University, D2)
On some unidirectional evolution equation arising from fracture mechanics

This workshop is partially supported by Japan Society for the Promotion of Science, KAKENHI: Grant-in-Aid for
Scientiﬁc Research (B) (No. 20H01812) “Evolution equations describing nonstandard irreversible processes – Analysis on singularities emerging in thedynamics of solutions –” Institute for Mathematics in Advanced Interdisciplinary Study

Organizing Committee
Goro Akagi (Tohoku University)
Masaharu Kobayashi (Hokkaido University)
Lorenzo Cavallina (Tohoku University)