## Basic Information

### Major Professional Backgrounds

- 2020/04/01, Hiroshima University, Graduate School of Advanced Science and Engineering, Associate Professor
- 2019/09/01, 2020/03/31, Hiroshima University, Graduate School of Engineering, Associate Professor
- 2017/01/01, 2019/08/31, Ehime University, Graduate School of Science and Engineering, Lecture
- 2015/04/01, 2016/12/31, Nagoya University, Research Fellowship for Young Scientists (PD)
- 2014/04/01, 2015/03/31, Osaka University, Research Fellowship for Young Scientists (PD)
- 2013/04/01, 2014/03/31, Osaka University, Research Fellowship for Young Scientists (DC2)

### Educational Backgrounds

- Osaka University, Japan, 2011/04, 2014/03
- Osaka University, Japan, 2009/04, 2011/03
- Osaka Kyoiku University, Japan, 2004/04, 2009/03

### Academic Degrees

- Osaka University
- Osaka University

### Research Fields

- Mathematical and physical sciences;Mathematics;Basic analysis
- Mathematical and physical sciences;Mathematics;Mathematical analysis

### Research Keywords

- Partial Differential Equations
- Wave equations

### Affiliated Academic Societies

- The Mathematical Society of Japan
- ISAAC (The International Society for Analysis, its Applications and Computation)

## Educational Activity

### Course in Charge

- 2022, Liberal Arts Education Program1, 2Term, Seminar in Basic Mathematics I
- 2022, Undergraduate Education, 1Term, Applied Mathematics II
- 2022, Undergraduate Education, 3Term, Applied Mathematics III
- 2022, Graduate Education (Master's Program) , 1Term, Special Exercises on Electorical, Systems, and Control Engineering A
- 2022, Graduate Education (Master's Program) , 2Term, Special Exercises on Electorical, Systems, and Control Engineering A
- 2022, Graduate Education (Master's Program) , 3Term, Special Exercises on Electorical, Systems, and Control Engineering B
- 2022, Graduate Education (Master's Program) , 4Term, Special Exercises on Electorical, Systems, and Control Engineering B
- 2022, Graduate Education (Master's Program) , Academic Year, Special Study on Electorical, Systems, and Control Engineering
- 2022, Graduate Education (Master's Program) , 2Term, Advanced Applied Mathematical Sciences
- 2022, Graduate Education (Doctoral Program) , Academic Year, Special Study on Electorical, Systems, and Control Engineering

## Research Activities

### Academic Papers

- Decay property of solutions to the wave equation with space-dependent damping, absorbing nonlinearity, and polynomially decaying data, Mathematical Methods in the Applied Sciences, 20230106
- Asymptotic Properties of Steady and Nonsteady Solutions to the 2D Navier-Stokes Equations with Finite Generalized Dirichlet Integral, INDIANA UNIVERSITY MATHEMATICS JOURNAL, 71(3), 1299-1316, 202207
- Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl, JOURNAL OF FUNCTIONAL ANALYSIS, 282(2), 20220115
- Energy-conserving finite difference schemes for nonlinear wave equations with dynamic boundary conditions, APPLIED NUMERICAL MATHEMATICS, 171, 1-22, 202201
- Blow up of solutions of semilinear wave equations related to nonlinear waves in de Sitter spacetime, Partial Differential Equations and Applications, 3(1-6), 1-10, 20211223
- On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 28(6), 202112
- Unconditional well-posedness for the energy-critical nonlinear damped wave equation, JOURNAL OF EVOLUTION EQUATIONS, 21(4), 5171-5201, 20211007
- On Glassey's conjecture for semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime, BOUNDARY VALUE PROBLEMS, 2021(1), 20211120
- Blow-up of solutions of semilinear wave equations in accelerated expanding Friedmann–Lemaître–Robertson–Walker spacetime, Reviews in Mathematical Physics, 34(2250003), 1-16, 20210928
- On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 500(2), 20210815
- Remark on One Dimensional Semilinear Damped Wave Equation in a Critical Weighted L2-space, Geometric Properties for Parabolic and Elliptic PDE's, 291-305, 20210330
- Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations, Journal of the Mathematical Society of Japan, 1-38, 20210123
- Classification of asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients: Effective damping case, J. Differential Equations, 272, 938-957, 20210115
- Blow-up of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime, Journal of Mathematical Physics, 61(9), 091503-01-091503-21, 20200903
- Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains, Mathematische Annalen, 1-13, 20200702
- Lifespan of solutions for a weakly coupled system of semilinear heat equations, Tokyo J. Math., 43(1), 163-180, 202006
- Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case, Proc. Amer. Math. Soc., 148(1), 157-172, 2020
- Movement of time-delayed hot spots in Euclidean space for special initial states, Discrete Contin. Dyn. Syst., 40(5), 2705-2738, 2020
- Second order asymptotic expansion for wave equations with time- dependent dissipation in one-space dimension, Advanced Studies in Pure Mathematics, 81, 401-419, 20191031
- Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 21(5), 201908
- L-p-L-q ESTIMATES FOR THE DAMPED WAVE EQUATION AND THE CRITICAL EXPONENT FOR THE NONLINEAR PROBLEM WITH SLOWLY DECAYING DATA, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 18(4), 1967-2008, 2019
- Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity, FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 62(2), 157-189, 2019
- Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping, J. Hyperbolic Differ. Equ., 16(3), 495-517, 2019
- Asymptotic profile of solution for the Cauchy problem of beam equation with variable coefficient, APPLIED MATHEMATICS LETTERS, 76, 236-241, 2018
- DIFFUSION PHENOMENA FOR THE WAVE EQUATION WITH SPACE-DEPENDENT DAMPING TERM GROWING AT INFINITY, ADVANCES IN DIFFERENTIAL EQUATIONS, 23(7-8), 581-614, 2018
- Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains, JOURNAL OF DIFFERENTIAL EQUATIONS, 265(4), 1227-1247, 2018
- Critical exponent for the semilinear wave equations with a damping increasing in the far field, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 25(6), 2018
- Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 447(1), 452-487, 2017
- A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions, JOURNAL OF FUNCTIONAL ANALYSIS, 272(2), 804-818, 2017
- Movement of time-delayed hot spots in Euclidean space, MATHEMATISCHE ZEITSCHRIFT, 285(3-4), 1007-1040, 2017
- The Cauchy problem for the nonlinear damped wave equation with slowly decaying data, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 24(2), 2017
- BLOW-UP OF SOLUTIONS FOR WEAKLY COUPLED SYSTEMS OF COMPLEX GINZBURG-LANDAU EQUATIONS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017
- Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain, AIMS MATHEMATICS, 2(1), 1-15, 2017
- Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain, JOURNAL OF DIFFERENTIAL EQUATIONS, 261(10), 5690-5718, 2016
- A NOTE ON THE LIFESPAN OF SOLUTIONS TO THE SEMILINEAR DAMPED WAVE EQUATION, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 143(1), 163-171, 2015
- Global existence of solutions for a weakly coupled system of semilinear damped wave equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 259(8), 4172-4201, 2015
- CRITICAL EXPONENTS FOR THE CAUCHY PROBLEM TO THE SYSTEM OF WAVE EQUATIONS WITH TIME OR SPACE DEPENDENT DAMPING, BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 10(3), 283-309, 2015
- BLOW-UP OF SOLUTIONS TO THE ONE-DIMENSIONAL SEMILINEAR WAVE EQUATION WITH DAMPING DEPENDING ON TIME AND SPACE VARIABLES, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 34(9), 3831-3846, 2014
- Critical exponent for the Cauchy problem to the weakly coupled damped wave system, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 108, 249-259, 2014
- On diffusion phenomena for the linear wave equation with space-dependent damping, JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 11(4), 795-819, 2014
- SMALL-DATA BLOW-UP OF L-2-SOLUTION FOR THE NONLINEAR SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE, DIFFERENTIAL AND INTEGRAL EQUATIONS, 26(11-12), 1275-1285, 2013
- Small data global existence for the semilinear wave equation with space-time dependent damping, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 393(1), 66-79, 2012
- Some examples causing energy growth for solutions to wave equations, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 87(8), 136-141, 2011

### Invited Lecture, Oral Presentation, Poster Presentation

- Asymptotic expansion of solutions to the wave equation with space-dependent damping, Motohiro Sobajima, Yuta Wakasugi, MSJ Autumn Meeting, 2022/09/16, Without Invitation, Japanese, Mathematical Society of Japan, Hokkaido University
- Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime, Yuta Wakasugi, Mathematical Analysis of Nonlinear Dispersive and Wave Equations, 2022/08/26, With Invitation, English, Waseda University
- Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition, Yuta Wakasugi, MSJ Spring meeting, 2022/03/31, Without Invitation, Japanese, Mathematical Society of Japan, Saitama University (Online)
- Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity, Yuta Wakasugi, 2022/01/22, With Invitation, Japanese
- Energy decay of solutions to the wave equation with space-dependent damping, Yuta Wakasugi, Osaka City University Colloquium, 2021/12/08, With Invitation, Japanese, Osaka City University
- Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity, Yuta Wakasugi, 2021/12/04, With Invitation, Japanese
- Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces, Yuta Wakasugi, Recent Advances in Nonlinear Evolution Equations, 2021/11/30, With Invitation, English, Online
- Global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces, Yuta Wakasugi, 2021/11/28, With Invitation, Japanese
- Energy decay of solutions to the wave equation with space-dependent damping and absorbing nonlinearity, Yuta Wakasugi, MSJ Autumn Meeting 2021, 2021/09/17, Without Invitation, Japanese, Mathematical Society of Japan, Chiba University (Online)
- Blow up of solutions of semilinear wave equations in de Sitter spacetime, Yuta Wakasugi, MSJ Autumn Meeting 2021, 2021/09/17, Without Invitation, Japanese, Mathematical Society of Japan, Chiba University (Online)
- Decay property of solutions to the semilinear wave equation with space-dependent damping and absorbing nonlinearity, Yuta Wakasugi, 2021/08/23, With Invitation, Japanese
- Asymptotic properties of steady solutions to the 3D axisymmetric Navier– Stokes equations with no swirl, H. Kozono, Y. Terasawa, Y. Wakasugi, MSJ Spring Meeting 2021, 2021/03/18, Without Invitation, Japanese, The Mathematical Society of Japan, Keio University (online)
- Asymptotic behavior of solutions to elliptic equations with unbounded coefficients of the second order in unbounded domains, H. Kozono, Y. Terasawa, Y. Wakasugi, MSJ Spring Meeting 2021, 2021/03/18, Without Invitation, Japanese, The Mathematical Society of Japan, Keio University (Online)
- On heatlike lifespan of solutions of semilinear wave equations in Friedmann– Lemaitre–Robertson–Walker spacetime, K. Tsutaya, Y. Wakasugi, MSJ Spring Meeting 2021, 2021/03/17, Without Invitation, Japanese, The Mathematical Society of Japan, Keio University (Online)
- Weighted energy estimates for solutions to the wave equation with space-dependent damping, Yuta Wakasugi, 2021/01/10, Without Invitation, Japanese, Yamaguchi University
- Blow-up of solutions of semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime, Yuta Wakasugi, Webinar on Evolution Models, Critical exponent versus blow-up in evolution models, 2020/11/03, With Invitation, English, Online
- Endpoint Strichartz estimates for the damped wave equation, Yuta Wakasugi, 2020/01/04, Without Invitation, Japanese, Yamaguchi University
- Asymptotic behavior of solutions to the wave equation with space-dependent damping and slowly decaying data, Yuta Wakasugi, Kyoto University NLPDE Seminar, 2019/11/01, With Invitation, Japanese, Kyoto University
- Endpoint Strichartz estimates for the damped wave equation, Yuta Wakasugi, 2019/10/05, With Invitation, Japanese, Mie University
- Lp-Lq estimates for the damped wave equation and their application to nonlinear problems, Yuta Wakasugi, MSJ Autumn Meeting 2019, 2019/09/20, With Invitation, Japanese, Mathematical Society of Japan, Kanazawa University
- Lp-Lq estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data, Yuta Wakasugi, 12th International ISAAC Congress, 2019/07/30, With Invitation, English, ISAAC, Aveiro University, Portugal
- Endpoint Strichartz estimate for the damped wave equation and its application, Yuta Wakasugi, Workshop on nonlinear PDE in Numazu, 2019/06/02, With Invitation, Japanese

### Awards

- 2016, MSJ Takebe Katahiro Prize (Encouragement Prize), Mathematical Society of Japan, 消散型波動方程式の解の漸近挙動に関する研究

## External Funds

### Acceptance Results of Competitive Funds

- Grant-in-Aid for Scientific Research (A), 2022/04/01, 2027/03/31
- Grant-in-Aid for Early-Career Scientists, Smoothing estimates for dissipative evolutions equations and applications to nonlinear problems, 2020/04/01, 2024/03/31
- Grant-in-Aid for Scientific Research (B), 2018/04/01, 2022/03/31
- Grant-in-Aid for Young Scientists (B), 2016/04/01, 2020/03/31