Description of Research

Summary Statement of Research Interests

Publications

Journal Article

• Dong, H., Kim, D. (2009). Parabolic and elliptic systems with VMO coefficients. Methods and Applications of Analysis.
• Kim, D. (2009). Parabolic equations with partially BMO coefficients and boundary value problems in Sobolev spaces with mixed norms. Potential Analysis.
• Dong, H., Kim, D. (2009). Elliptic equations in divergence form with partially BMO coefficients. Archive for Rational Mechanics and Analysis.
• Kim, D. (2008). Elliptic and parabolic equations with measurable coefficients in Lp-spaces with mixed norms. Methods and Applications of Analysis. Vol. 15 (4), pp. 437–468.
• Balan, R. M., Kim, D. (2008). The stochastic heat equation driven by a Gaussian noise: Markov property. Communications on Stochastic Analysis. Vol. 2 (2), pp. 229–249.
• Kim, D. (2008). Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces. Journal of Mathematical Analysis and Applications. Vol. 337 (2), pp. 1465-1479.
• Kim, D. (2007). Parabolic equations with measurable coefficients II. Journal of Mathematical Analysis and Applications. Vol. 334 (1), pp. 534-548.
• Kim, D. (2007). Trace theorems for Sobolev-Slobodeckij spaces with or without weights. Journal of Function Spaces and Applications. Vol. 5 (3), pp. 243-268.
• Kim, D., Krylov, N. V. (2007). Elliptic differential equations with coefficients measurable with respect to one variable and VMO with respect to the others. SIAM Journal on Mathematical Analysis. Vol. 39 (2), pp. 489-506.
• Kim, D., Krylov, N. V. (2007). Parabolic equations with measurable coefficients. Potential Analysis. Vol. 26 (4), pp. 345-361.
• Kim, D. (2007). Second order elliptic equations in $\mathbb{R}^{d}$ with piecewise continuous coefficients. Potential Analysis. Vol. 26 (2), pp. 189-212.
• Kim, D. (2006). Second order parabolic equations and weak uniqueness of diffusions with discontinuous coefficients. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5). Vol. 5 (1), pp. 55-76.

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