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math.AP2022★ 1 cited
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…
math.AP2022
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…
math.AP2022
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…