{"id":70,"date":"2017-04-28T09:57:50","date_gmt":"2017-04-28T00:57:50","guid":{"rendered":"http:\/\/192.168.99.111\/kyeonghun\/?page_id=70"},"modified":"2024-08-26T15:31:31","modified_gmt":"2024-08-26T06:31:31","slug":"my-articles","status":"publish","type":"page","link":"https:\/\/mathematicians.korea.ac.kr\/kyeonghun\/my-articles\/","title":{"rendered":"Publications"},"content":{"rendered":"

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  1. (with Doyoon Kim and Kwan Woo) Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces,  Stoch. PDE: analysis and computations <\/em>12 (2024), 134-172 (<\/em>pdf<\/a>)  <\/li>\n
  2. (with Daehan Park) A Sobolev space theory for the time-fractional stochastic partial differential equations driven by Levy processes, Journal of Theoretical Probability 37<\/em> (2024), 671-720 (pdf<\/a>) <\/li>\n
  3. (with Ildoo Kim)  A sharp \"L_p\"-regularity result for second-order stochastic partial differential equations with unbounded and fully degenerate leading coefficients, Journal of Differential Equations<\/em> 371 (2023), 260-298 (pdf<\/a>)<\/li>\n
  4. (with Jae-Hwan Choi and Junhee Ryu) Sobolev regularity theory for the non-local  elliptic and parabolic equations on \"C^{1,1}\" open sets, Discrete and Continuous Dynamical System 43 (2023), 3338-3377 <\/em>(arXiv:2205.11035)<\/a><\/li>\n
  5. (with Kijung Lee and Jinsol Seo) Sobolev space theory and H\"\"o\"lder<\/span> estimates for the stochastic partial differential equations on conic and polygonal domains, Journal of Differential Equations<\/em> 340 (2022), 463-520 (pdf<\/a>)<\/li>\n
  6. (with Daehan Park and Junhee Ryu) A Sobolev space theory for the stochastic partial differential equations with space-time nonlocal operators,  Journal of Evolution Equations<\/em> (2022) 22:57 (pdf<\/a>)<\/li>\n
  7. (with Kijung Lee and Jinsol Seo) A refined Green’s function estimate of the time measurable parabolic operators with conic domains.  Potential Analysis 56 (2022), 317-331<\/em> (pdf<\/a>)<\/li>\n
  8. (with Doyoon Kim and Kijung Lee) Parabolic systems with measurable coefficients in weighted Sobolev spaces (pdf<\/a>),   Communications on pure and applied analysis 21 (2022), no 8, 2587-2613. <\/em><\/li>\n
  9. (with Kijung Lee and Jinsol Seo) A weighted Sobolev regularity theory on the parabolic equations with measurable coefficients on conic domains, Journal of  Differential Equations 291(2021), 154-194 <\/em>(pdf<\/a>)<\/li>\n
  10. (with Daehan Park and Junhee Ryu) An \"L_q(L_p)\"-theory for diffusion equations with space-time nonlocal operators.  Journal of Differential Equations 287 (2021), 376-427 (<\/em>pdf<\/a>)<\/li>\n
  11. (with Beom-seok Han and Daehan Park) A weighted Sobolev space theory for the diffusion-wave equations with time-fractional derivatives on \"C^1\" domains. Discrete and Continuous Dynamical System 41 (2021), no. 7, 3415-3445<\/em> (pdf<\/a>)<\/li>\n
  12. (with Beom-seok Han) Boundary behavior and interior Holder regularity of solution to nonlinear stochastic partial differential equations driven by space-time white noise.   Journal of Differential Equation 269 (2020), 9904-9935.<\/em> (pdf<\/a>)<\/li>\n
  13. (with Beom-seok Han and Daehan Park) Weighted \"L_q(L_p)\"-estimate with Muckenhoupt weights for the diffusion-wave equations with time-fractional derivative.  Journal of Differential Equations 269 (2020), 3515-3550. <\/em>(pdf<\/a>)<\/li>\n
  14. (with Ildoo Kim) Boundedness of stochastic singular integral operators and its application to stochastic partial differential equations.  Transactions of AMS<\/em> 373 (2020),  5653-5684 (pdf<\/a>)<\/li>\n
  15. (with P.A. Cioica-Licht and Kijung Lee) On the regularity of the stochastic heat equation on polygonal domains in \"R^2\".  Journal of Differential Equations 267 (2019), 6447-6479.<\/em> (pdf<\/a>)<\/li>\n
  16.  <\/strong>(with I.Kim and S.Lim) A Sobolev space theory for stochastic partial differential equations with time-fractional derivatives.  Annals of Probability 47 (2019), no 4, 2087-2139.<\/em> (pdf<\/a>)<\/li>\n
  17. (with I.Kim and P.Kim) An \"L_p\"-theory for diffusion equations related to stochastic processes with non-stationary independent increment.  Transactions of AMS<\/em>. 371 (5) (2019), 3417-3450.  (pdf<\/a>)<\/li>\n
  18. (with I.Kim) On the second order derivative estimates for degenerate parabolic equations.  Journal of Differential Equations 265 (2018), 5959-5930.<\/em> (pdf<\/a>)<\/li>\n
  19. (with I.Kim) A regularity theory for quasi-linear stochastic partial differential equations in weighted Sobolev space. Stochastic processes and their applications 128(2018) 622-643<\/em>.  (pdf<\/a>)<\/li>\n
  20. (with P. Cioica, K.Lee and F. Lindner) An \"L_p\"-estimate for the stochastic heat equation on an angular domain in \"R^2\".  Stochastics and Partial Differential Equations: analysis and computations<\/em>.  6(1) (2018), 45-72. (pdf<\/a>)<\/li>\n
  21. (with K. Lee).  On the heat diffusion starting with degeneracy. <\/span>Journal of Differential Equations<\/i> 262(2017), no.3, 2722-2744. (pdf<\/a><\/span>) <\/span><\/li>\n
  22. (with I. Kim and S. Lim). An \"L_q(L_p)\"-theory for the time fractional evolution equations with variable coefficients.  <\/span>Advances in  Math. <\/em>306 <\/span>(2017), <\/span>123\u2013176. (pdf<\/a>) <\/span><\/li>\n
  23. (with I. Kim and S. Lim). <\/span>An \"L_q(L_p)\"-theory for parabolic pseudo-differential equations: Calder\u00f3n-Zygmund approach. <\/span>Potential Anal. <\/em>45 (2016), no. 3, 463\u2013483. (pdf<\/a>) <\/span><\/li>\n
  24. (with I. Kim). <\/span>An \"L_p\"-theory for stochastic partial differential equations driven by L\u00e9vy processes with pseudo-differential operators of arbitrary order.  <\/span>Stochastic Process.  Appl.<\/em>126 (2016), no. 9, 2761\u20132786. (pdf<\/a>)   <\/span><\/li>\n
  25. (with S. Lim). <\/span>Asymptotic behaviors of fundamental solution and its derivatives to fractional diffusion-wave equations.  <\/span>J. Korean Math. Soc.<\/em>53 (2016), no. 4, 929\u2013967. (pdf<\/a>) <\/span><\/li>\n
  26. (with K. Lee). <\/b><\/span>A weighted \"L_p\"-theory for second-order parabolic and elliptic partial differential systems on a half space. <\/span>Commun.  Pure Appl. Anal.<\/em>15 (2016), no. 3, 761\u2013794. (pdf<\/a>) <\/span><\/li>\n
  27. (with I. Kim and S. Lim). <\/b>Parabolic Littlewood-Paley inequality for a class of time-dependent pseudo-differential operators of arbitrary order, and applications to high-order stochastic PDE.  <\/span>J. Math. Anal. Appl.<\/em>436 (2016), no. 2, 1023\u20131047. (pdf<\/a>)<\/li>\n
  28. (with I. Kim). <\/span>An \"L_p\"-theory for a class of non-local elliptic equations related to nonsymmetric measurable kernels.  <\/span>J. Math. Anal. Appl.<\/em>434 (2016), no. 2, 1302-1335 (pdf<\/a>)<\/span><\/li>\n
  29.  (with I. Kim). <\/span>A H\u00f6lder regularity theory for a class of non-local elliptic equations related to subordinate Brownian motions.  <\/span>Potential Anal.<\/em>43 (2015), no. 4, 653\u2013673. (pdf<\/a>)<\/span><\/li>\n
  30. (with I. Kim and S. Lim). <\/span>Parabolic BMO estimates for pseudo-differential operators of arbitrary order.  <\/span>J. Math. Anal. Appl.<\/em> 427 (2015), no. 2, 557\u2013580. (pdf<\/a>)<\/span><\/li>\n
  31. (with Z.Q.Chen and P. Kim). <\/span>Fractional time stochastic partial differential equations.  <\/span>Stochastic Process. Appl.<\/em>125 (2015), no. 4, 1470\u20131499. (pdf<\/a>)<\/span><\/li>\n
  32. (with Z.Q. Chen).<\/span><\/span> <\/span>An L_p-theory for non-divergence form SPDEs driven by L\u00e9vy processes.  <\/span>Forum Math.<\/em>26 (2014), no. 5, 1381\u20131411. (pdf<\/a>)<\/span><\/li>\n
  33. (with I. Kim).  <\/span>Some \"L_p\" and H\u00f6lder estimates for divergence type nonlinear SPDEs on \"C^1\"-domains.  <\/span>Potential Anal. <\/em>41 (2014), no. 2, 583\u2013612. (pdf<\/a>)<\/span><\/li>\n
  34. A weighted Sobolev space theory of parabolic stochastic PDEs on non-smooth domains. <\/span>Journal Theoret. Probab.<\/em>27 (2014), no. 1, 107\u2013136. (pdf<\/a>)<\/span><\/li>\n
  35. (with I. Kim and K. Lee).  <\/span>A weighted \"L_p\"-theory for divergence type parabolic PDEs with BMO coefficients on \"C^1\"-domains.  <\/span>J. Math. Anal. Appl.<\/em>412 (2014), no. 2, 589\u2013612. (pdf<\/a>)<\/span><\/li>\n
  36. A Sobolev space theory for parabolic stochastic PDEs driven by L\u00e9vy processes on \"C^1\"-domains.  <\/span>Stochastic Process. Appl.<\/em>124 (2014), no. 1, 440\u2013474. (pdf<\/a>)<\/span><\/li>\n
  37. (with I.Kim and P. Kim). <\/span>Parabolic Littlewood-Paley inequality for \"\phi(-\Delta)\"-type operators and applications to stochastic integro-differential equations.   <\/span>Advances in Mathematics. <\/em>249 (2013), 161\u2013203. (pdf<\/a>)<\/span><\/li>\n
  38. (with P. Cioica, K. Lee and F. Lindner).<\/span> On the \"L_q(L_p)\"-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains.  <\/span>Electron. J. Probab.<\/em>18 (2013), no. 82, 41 pp. (pdf<\/a>)<\/span><\/li>\n
  39.  (with K. Lee). <\/span>A \"W^n_2\"-theory of stochastic parabolic partial differential systems on \"C^1\"-domains.  <\/span>Potential Anal. <\/em>38 (2013), no. 3, 951\u2013984. <\/span><\/li>\n
  40. (with K. Lee). A weighted \"L_p\"-theory for parabolic PDEs with BMO coefficients on \"C^1\"-domains.  J. Differential Equations<\/i>.  254(2013), no.2, 368-407. (pdf<\/a>)<\/li>\n
  41. (with K. Lee)<\/span><\/span>. <\/span>A note on \"W^{\gamma}_p\"-theory of linear stochastic parabolic partial differential systems. <\/span>Stochastic Process. Appl.<\/em> 123 <\/span>(2013), <\/span>no. 1,<\/span> 76\u201390. (pdf<\/a>)<\/span><\/li>\n
  42. (with Z.Q. Chen). <\/b><\/span>An \"L_2\"-theory for a class of SPDEs driven by L\u00e9vy processes. <\/span>Sci. China Math. <\/em>55 (2012), no. 11, 2233\u20132246.   (pdf<\/a>)<\/li>\n
  43. (with P. Kim)<\/span><\/span>. <\/span>An \"L_p\"-theory of a class of stochastic equations with the random fractional Laplacian driven by L\u00e9vy processes. <\/span>Stochastic Process. Appl.<\/em> 122 (2012), no. 12, 3921\u20133952.  (pdf<\/a>)<\/li>\n
  44. (with K. Lee)<\/span> A \"W^n_2\"-theory of elliptic and parabolic partial differential systems in \"C^1\"-domains.  <\/span>J. Math. Anal. Appl.<\/em> 391 (2012), no. 2, 397\u2013414  (pdf)<\/a><\/li>\n
  45. (with I. Kim).<\/span> A generalization of the Littlewood-Paley inequality for the fractional Laplacian \"(-\Delta)^{\alpha/2}\".  <\/span>J. Math. Anal. Appl.<\/em> 388 (2012), no. 1, 175\u2013190.  (pdf<\/a>)<\/li>\n
  46. (with K. Lee). <\/span>A \"W^1_2\"-theory of stochastic partial differential systems of divergence type on \"C^1\"-domains. <\/span>Electron.  J. Probab.<\/em> 16 (2011), no. 47, 1296\u20131317.<\/li>\n
  47. (with C.H.Lee and P. Kim). <\/span>A Moment closure method for stochastic reaction networks.  <\/span>J. Chemical Physics<\/i>. 130, 134107(2009).  (pdf<\/a>)<\/li>\n
  48. Sobolev space theory of SPDEs with continuous or measurable leading coefficients. <\/span>Stochastic Process. Appl.<\/em> 119 (2009), no. 1, 16\u201344. (pdf<\/a>)<\/li>\n
  49. A \"W^n_p\"-theory of parabolic equations with unbounded leading coefficients on non-smooth domains.  <\/span>J. Math. Anal. Appl.<\/em> 350 (2009), no. 1, 294\u2013305.  (pdf<\/a>)<\/li>\n
  50. An \"L_p\"-theory of stochastic PDEs of divergence form on Lipschitz domains. <\/span>J. Theoret. Probab.<\/em> 22 (2009), no. 1, 220\u2013238. (pdf<\/a>)<\/li>\n
  51. An \"L_p\"-theory of SPDEs on Lipschitz domains. <\/span>Potential Anal.<\/em> 29 (2008), no. 3, 303\u2013326. (pdf<\/a>), (erratum<\/a>)<\/li>\n
  52. \"L_q(L_p)\"–theory of parabolic PDEs with variable coefficients.  <\/span>Bull. Korean Math. Soc.<\/em> 45 (2008), no. 1, 169\u2013190. (pdf<\/a>)<\/li>\n
  53. \"L_p\"-theory of parabolic SPDEs degenerating on the boundary of \"C^1\"-domains.  <\/span>J. Theoret. Probab.<\/em> 21 (2008), no. 1, 169\u2013192. (pdf<\/a>)<\/li>\n
  54. Sobolev space theory of parabolic equations degenerating on the boundary of \"C^1\"-domains.  <\/span>Comm. Partial Differential Equations<\/em> 32 (2007), no. 7-9, 1261\u20131280. (pdf<\/a>)<\/li>\n
  55. Parabolic SPDEs degenerating on the boundary of non-smooth domain. <\/span>Electron. J. Probab.<\/em> 11 (2006), no. 23, 563\u2013584.  (pdf<\/a>)<\/li>\n
  56. \"L_p\" estimates for SPDE with discontinuous coefficients in domains. <\/span>Electron. J. Probab.<\/em> 10 (2005), no. 1, 1\u201320. (pdf<\/a>)<\/li>\n
  57. (with N.V.Krylov). On the Sobolev space theory of parabolic and elliptic equations in \"C^1\"-domains.  <\/span>SIAM J. Math. Anal.<\/em> 36 (2004), no. 2, 618\u2013642. (pdf<\/a>)<\/li>\n
  58.  <\/b>On \"L_p\"-theory of stochastic partial differential equations of divergence form in \"C^1\"-domains. <\/span>Probab.  Theory Related Fields<\/em> 130 (2004), no. 4, 473\u2013492.  (pdf<\/a>)<\/li>\n
  59. \"L_q(L_p)\"-theory and H\"\"o\"lder estimates for parabolic SPDEs. <\/span>Stochastic Process. Appl.<\/em> 114 (2004), no. 2, 313\u2013330. (pdf<\/a>)<\/li>\n
  60. (with  N. V. Krylov). On SPDEs with variable coefficients in one space dimension. <\/span>Potential Anal.<\/em> 21 (2004), no. 3,<\/a> 209\u2013239. (pdf<\/a>)<\/li>\n
  61. On stochastic partial differential equations with variable coefficients in \"C^1\"-domains. <\/span>Stochastic Process. Appl.<\/em> 112 (2004), no. 2,<\/a> 261\u2013283. (pdf<\/a>)
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