47 citations · 203 across the 36 of their papers we have counts for
3 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…
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…