activity
20072026
most citedThe blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions

11 citations · 18 across the 5 of their papers we have counts for

collaborators

5 papers

quant-ph2026

Optimal Control to Minimize Dissipation and Fluctuations in Open Quantum Systems Beyond Slow and Rapid Regimes

Yuki Kurokawa, Yoshihiko Hasegawa

Optimal control is a central problem in quantum thermodynamics. When minimizing dissipated work and work fluctuations defined via the two-point measurement scheme in open quantum s…

cond-mat.quant-gas2024

Quantum Reservoir Computing Using Bose-Einstein Condensate with Damping

Yuki Kurokawa, Junichi Takahashi, Yoshiya Yamanaka

Quantum reservoir computing is a type of machine learning in which the high-dimensional Hilbert space of quantum systems contributes to performance. In this study, we employ the Bo…

math.AP2023

The lifespan estimates of radially symmetric solutions to systems of nonlinear wave equations in even space dimensions

Yuki Kurokawa

The optimal lifespan estimates of a solution to weakly coupled systems of wave equations have been investigated by many works, except for the lower bound in even space dimensions.…

math.AP2011★ 11 cited

The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions

Yuki Kurokawa, Hiroyuki Takamura, Kyouhei Wakasa

In this paper we prove the blow-up theorem in the critical case for weakly coupled systems of semilinear wave equations in high dimensions. The upper bound of the lifespan of the s…

math.AP2007★ 7 cited

Weighted HLS inequalities for radial functions and Strichartz estimates for wave and Schroedinger equations

Kunio Hidano, Yuki Kurokawa

This paper is concerned with derivation of the global or local in time Strichartz estimates for radially symmetric solutions of the free wave equation from some Morawetz-type estim…