1 citations · 2 across the 7 of their papers we have counts for
8 papers
Refined asymptotic expansions of solutions to fractional diffusion equations
Kazuhiro Ishige, Tatsuki Kawakami
In this paper, as an improvement of the paper [K. Ishige, T. Kawakami and H. Michihisa, SIAM J. Math. Anal. 49 (2017) pp. 2167--2190], we obtain the higher order asymptotic expansi…
Existence of solutions to nonlinear parabolic equations via majorant integral kernel
Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe
We establish the existence of solutions to the Cauchy problem for a large class of nonlinear parabolic equations including fractional semilinear parabolic equations, higher-order s…
The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami +1
We study the heat equation in the exterior of the unit ball with a linear dynamical boundary condition. Our main aim is to find upper and lower bounds for the rate of convergence t…
Nonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds
Tatsuki Kawakami, Matteo Muratori
It is well known that the Euclidean Sobolev inequality holds on any Cartan-Hadamard manifold of dimension , i.e. any complete, simply connected Riemannian manifold with n…
Critical behavior for a semilinear parabolic equation with forcing term depending of time and space
Mohamed Jleli, Tatsuki Kawakami, Bessem Samet
We investigate the large-time behavior of the sign-changing solution of the inhomogeneous semilinear heat equation with a forcing term depending of time and space. we identify the…
Existence of solutions for a higher-order semilinear parabolic equation with singular initial data
Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe
We establish the existence of solutions of the Cauchy problem for a higher-order semilinear parabolic equation by introducing a new majorizing kernel. We also study necessary condi…