Seick Kim

most citedOn the Green's matrices of strongly parabolic systems of second order

28 citations · 62 across the 3 of their papers we have counts for

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math.AP2007★ 19 cited

On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations

Hongjie Dong, Seick Kim, Mikhail Safonov

We study boundary blow-up solutions of semilinear elliptic equations $Lu = u_{+}^{p}$ with $p > 1$ , or $Lu = e^{a u}$ with $a > 0$ , where $L$ is a second order elliptic operator with measurable…

math.AP2007★ 28 cited

On the Green's matrices of strongly parabolic systems of second order

Sungwon Cho, Hongjie Dong, Seick Kim

We establish existence and various estimates of fundamental matrices and Green's matrices for divergence form, second order strongly parabolic systems in arbitrary cylindrical doma…

math.AP2007★ 15 cited

Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients

Seick Kim

Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on $R^{n}$ . In…