Fujishima, Yohei
- Existence and nonexistence of solutions for the heat equation with a superlinear source term
2016/09/21 by Yohei Fujishima, Fujishima, Yohei, Norisuke Ioku +1 · 5 citations
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
- Local solvability and dilation-critical singularities of supercritical fractional heat equations
2023/08/09 by Yohei Fujishima, Kotaro Hisa, Fujishima, Yohei +5 · 5 citations
Mathematics · Engineering · #Advanced Mathematical Physics Problems #Fractional Differential Equations Solutions #Stability and Controllability of Differential Equations
- Solvability of Superlinear Fractional Parabolic Equations
2022/04/18 by Yohei Fujishima, Kotaro Hisa, Fujishima, Yohei +5 · 3 citations
Mathematics · #35K58 #35R11 #49K20 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis
- Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
2024/03/30 by Yohei Fujishima, Norisuke Ioku, Fujishima, Yohei +5 · 4 citations
Computer Science · Mathematics · #35A24 #35B40 #35J61 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics
- Initial traces and solvability of Cauchy problem to a semilinear parabolic system
2019/10/15 by Yohei Fujishima, Fujishima, Yohei, Kazuhiro Ishige +1 · 2 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems
- Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation
2022/08/24 by Yohei Fujishima, Fujishima, Yohei, Norisuke Ioku +1 · 2 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
- Uniform boundedness and blow-up rate of solutions in non-scale-invariant superlinear heat equations
2024/12/29 by Yohei Fujishima, Fujishima, Yohei, Toru Kan +1 · 2 citations
Engineering · Mathematics · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems #advanced mathematical theories