YUUTA WAKASUGI

Last Updated :2019/11/07

E-mail
wakasugihiroshima-u.ac.jp

Basic Information

Academic Degrees

  • Osaka University
  • Osaka University

Educational Activity

Course in Charge

  1. 2019, Liberal Arts Education Program1, 4Term, Seminar in Basic Mathematics II
  2. 2019, Undergraduate Education, 3Term, Applied Mathematics III
  3. 2019, Graduate Education (Master's Program) , 4Term, Mathematics II

Research Activities

Academic Papers

  1. Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case, Proc. Amer. Math. Soc., 148(1), 157-172
  2. Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping, J. Hyperbolic Differ. Equ., 16(3), 495-517
  3. 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
  4. 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
  5. Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 21(5), 2019
  6. Asymptotic profile of solution for the Cauchy problem of beam equation with variable coefficient, APPLIED MATHEMATICS LETTERS, 76, 236-241, 2018
  7. 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
  8. Critical exponent for the semilinear wave equations with a damping increasing in the far field, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 25(6), 2018
  9. DIFFUSION PHENOMENA FOR THE WAVE EQUATION WITH SPACE-DEPENDENT DAMPING TERM GROWING AT INFINITY, ADVANCES IN DIFFERENTIAL EQUATIONS, 23(7-8), 581-614, 2018
  10. 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
  11. 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
  12. Movement of time-delayed hot spots in Euclidean space, MATHEMATISCHE ZEITSCHRIFT, 285(3-4), 1007-1040, 2017
  13. The Cauchy problem for the nonlinear damped wave equation with slowly decaying data, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 24(2), 2017
  14. 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
  15. BLOW-UP OF SOLUTIONS FOR WEAKLY COUPLED SYSTEMS OF COMPLEX GINZBURG-LANDAU EQUATIONS, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017
  16. Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain, JOURNAL OF DIFFERENTIAL EQUATIONS, 261(10), 5690-5718, 2016
  17. A NOTE ON THE LIFESPAN OF SOLUTIONS TO THE SEMILINEAR DAMPED WAVE EQUATION, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 143(1), 163-171, 2015
  18. Global existence of solutions for a weakly coupled system of semilinear damped wave equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 259(8), 4172-4201, 2015
  19. 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
  20. 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
  21. Critical exponent for the Cauchy problem to the weakly coupled damped wave system, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 108, 249-259, 2014
  22. On diffusion phenomena for the linear wave equation with space-dependent damping, JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 11(4), 795-819, 2014
  23. 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
  24. 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
  25. Some examples causing energy growth for solutions to wave equations, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 87(8), 136-141, 2011