18 citations · 21 across the 6 of their papers we have counts for
7 papers
Global tangential Calderon-Zygmund type estimates for the regional fractional Laplacian
Sujin Khomrutai, Armin Schikorra, Adisak Seesanea +1
We discuss tangential Sobolev-estimates up to the boundary for solutions to the regional fractional laplacian on the upper half-plane. These estimates can be used to reduce the bou…
On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations
Sasikarn Yeepo, Wicharn Lewkeeratiyutkul, Sujin Khomrutai +1
We show that the operator \[ T_{K,s_1,s_2}f(z) := \int_{\mathbb{R}^n} A_{K,s_1,s_2}(z_1,z_2) f(z_2)\, dz_2 \] is a Calderon-Zygmund operator. Here for $K \in L^\infty(\mathbb{R}^n…
On -regularity for critical points of a geometric obstacle-type problem
Sujin Khomrutai, Armin Schikorra
We consider critical points of the geometric obstacle problem on vectorial maps \[ \int_{\mathbb{B}^2} |\nabla u|^2 \quad \m…
Nonlocal equations with regular varying decay solutions
Sujin Khomrutai
We study the asymptotic behavior for nonlocal diffusion equations in and obtain a sufficient condition so that soluti…
Weighted estimates and Fujita exponent for a nonlocal equation
Sujin Khomrutai
We investigate a nonlocal equation in , where is unbounded and belongs to a weighted space.…
Instantaneous blow-up versus global well-posedness and asymptotic behavior for linear pseudoparabolic equations
Sujin Khomrutai
We study linear pseudoparabolic equations with unbounded and time-dependent coefficients. We solve the case which has remained open in several recent studies of pseudoparabolic equ…
Global well-posedness and grow-up rate of solutions for a sublinear pseudoparabolic equation
Sujin Khomrutai
We study positive solutions of the pseudoparabolic equation with a sublinear source in . In this work, the source coefficient could be unbounded and time-dependent. G…