47 citations · 203 across the 36 of their papers we have counts for
36 papers
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…
One-dimensional integral Rellich type inequalities
Tohru Ozawa, Prasun Roychowdhury, Durvudkhan Suragan
The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality ver…
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…
Revisiting the Rellich inequality
Neal Bez, Shuji Machihara, Tohru Ozawa
We revisit the Rellich inequality from the viewpoint of isolating the contributions from radial and spherical derivatives. This naturally leads to a comparison of the norms of the…
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…