5 citations · 6 across the 7 of their papers we have counts for
8 papers
Gradient self-improvement for mixed local and nonlocal parabolic equations
Kenta Nakamura
We introduce a new method for studying gradient higher integrability for mixed local and nonlocal parabolic equations. More precisely, for and , we prove…
Harnack estimates for the nonlocal Trudinger equation
Simone Ciani, Kenta Nakamura
We carry on a study of the point-wise regularity theory for the nonlocal Trudinger equation, with measurable and bounded singular kernel. We establish refined quantitative upper bo…
Nonlocal parabolic De Giorgi classes
Simone Ciani, Kenta Nakamura
We propose a new paradigm for the point-wise regularity theory of parabolic nonlocal problems, by addressing directly the elements of a wide parabolic energy class. First we carry…
The Japanese Vision for the Black Hole Explorer Mission
Kazunori Akiyama, Kotaro Niinuma, Kazuhiro Hada +43
The Black Hole Explorer (BHEX) is a next-generation space very long baseline interferometry (VLBI) mission concept that will extend the ground-based millimeter/submillimeter arrays…
Existence for doubly nonlinear fractional -Laplacian equations
Nobuyuki Kato, Masashi Misawa, Kenta Nakamura +1
In this paper we prove the existence of a weak solution to a doubly nonlinear parabolic fractional -Laplacian equation, which has general doubly non-linearlity including not onl…
Harnack's estimate for a mixed local-nonlocal doubly nonlinear parabolic equation
Kenta Nakamura
We establish Harnack's estimates for positive weak solutions to a mixed local and nonlocal doubly nonlinear parabolic equation. All results presented in this paper are provided tog…
Global existence for the p-Sobolev flow
Tuomo Kuusi, Masashi Misawa, Kenta Nakamura
In this paper, we study a doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow. In the special case p=2 our…
Regularity estimates for the p-Sobolev flow
Tuomo Kuusi, Masashi Misawa, Kenta Nakamura
We study doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow from now on, which includes the classical Yama…