47 citations · 203 across the 36 of their papers we have counts for
28 papers · 1 filter
Weighted estimates and large time behavior of small amplitude solutions to the semilinear heat equation
Ryunosuke Kusaba, Tohru Ozawa
We present a new method to obtain weighted -estimates of global solutions to the Cauchy problem for the semilinear heat equation with a simple power of super-critical Fujita…
Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations
Mansur I. Ismailov, Tohru Ozawa, Durvudkhan Suragan
We discuss inverse problems of determining the time-dependent source coefficient for a general class of subelliptic heat equations. We show that a single data at an observation poi…
Global strong solutions of the coupled Klein-Gordon-Schrödinger equations
Tohru Ozawa, Kenta Tomioka
We study the initial-boundary value problem for the coupled Klein-Gordon-Schrödinger equations in a domain in with . Under natural assumptions on the initia…
Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality
Yonggeun Cho, Seokchang Hong, Tohru Ozawa
We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from pseudoscalar field. We establish scattering for large data but w…
Schrödinger-improved Boussinesq system in two space dimensions
Tohru Ozawa, Kenta Tomioka
We study the Cauchy problem for the Schrödinger-improved Boussinesq system in a two dimensional domain. Under natural assumptions on the data without smallness, we prove the existe…
Small data scattering of 2d Hartree type Dirac equations
Yonggeun Cho, Tohru Ozawa, Kiyeon Lee
In this paper, we study the Cauchy problem of 2d Dirac equation with Hartree type nonlinearity with , $0 <…