3 citations · 7 across the 9 of their papers we have counts for
12 papers
Nondegeneracy and asymptotic behavior of type I blow-up for semilinear heat equations with general nonlinearities
Yohei Fujishima, Ryoto Ichiya, Norisuke Ioku
We study the local asymptotic behavior of nonnegative type I blow-up solutions to semilinear heat equations with nonlinearities that need not be scale invariant. Using a quasi-simi…
Multiplicity of singular solutions for semilinear elliptic equations with superlinear source terms
Yohei Fujishima, Norisuke Ioku
This paper investigates the multiplicity of singular solutions for the nonlinear elliptic equation near the origin. Applying the classification of nonlinear functions a…
Non-uniqueness of mild solutions for 2d-heat equations with singular initial data
Yohei Fujishima, Norisuke Ioku, Bernhard Ruf +1
In a recent article by the authors [15] it was shown that wide classes of semilinear elliptic equations with exponential type nonlinearities admit singular radial solutions on…
Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
Yohei Fujishima, Norisuke Ioku, Bernhard Ruf +1
By introducing a new classification of the growth rate of exponential functions, singular solutions for semilinear elliptic equations in 2-dimensions with exponential nonlinearitie…
Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces
Norisuke Ioku, Kazuhiro Ishige, Tatsuki Kawakami
In this paper we introduce uniformly local weak Zygmund type spaces, and obtain an optimal sufficient condition for the existence of solutions to the critical fractional semilinear…
approximation of the Moser--Trudinger inequality
Masato Hashizume, Norisuke Ioku
We propose a power type approximation of the Moser--Trudinger functional and show that its concentration level converges to the Carleson--Chang limit.
Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation
Yohei Fujishima, Norisuke Ioku
This paper concerns the global in time existence of solutions for a semilinear heat equation \begin{equation} \tag{P} \label{eq:P} \begin{cases} \partial_t u = Δu + f(u), &x\in \ma…
Non-uniqueness for a critical heat equation in two dimensions with singular data
Norisuke Ioku, Bernhard Ruf, Elide Terraneo
Nonlinear heat equations in two dimensions with singular initial data are studied. In recent works nonlinearities with exponential growth of Trudinger-Moser type have been shown to…
Attainability of the best Sobolev constant in a ball
Norisuke Ioku
The best constant of the Sobolev inequality in the whole space is attained by the Aubin-Talenti function; however, this does not happen in bounded domains because the break in dila…
Existence and nonexistence of solutions for the heat equation with a superlinear source term
Yohei Fujishima, Norisuke Ioku
Classification theory on the existence and non-existence of local in time solutions for initial value problems of nonlinear heat equations are investigated. Without assuming a conc…
Canceling effects in higher-order Hardy-Sobolev inequalities
Andrea Cianchi, Norisuke Ioku
A classical first-order Hardy-Sobolev inequality in Euclidean domains, involving weighted norms depending on powers of the distance function from their boundary, is known to hold f…
Sharp decay estimates in Lorentz spaces for nonnegative Schrödinger heat semigroups
Norisuke Ioku, Kazuhiro Ishige, Eiji Yanagida
Let be a nonnegative Schrödinger operator on , where and is a radially symmetric function decaying quadratically at the space infinity. In th…