2 papers
math.AP2026
Global existence for a Zakharov type system in a domain
Nobutatsu Kobayashi, Masahito Ohta
We study an initial-boundary value problem for a Zakharov type system in three space dimensions in a general domain. Under a smallness assumption on the initial data, we construct…
math.AP2024
Upper bound of higher-order Sobolev norms for Zkaharov system in one space dimension
Nobutatsu Kobayashi
We study the Cauchy problem for the Zakharov system in one space dimension with the Diriclet boundary conditions. We establish the global well-posedness and the growth of higher-or…