ScholarWorks@Korea University: Kim, Kyeong Hun

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Kim, Kyeong Hun (김경훈)

이과대학 (수학과)

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Tel 3071
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Lptheory:11||Stochastic partial differential equations:10||Weighted Sobolev spaces:7||Lq(Lp)theory:5||Levy processes:5||Stochastic partial differential equation:5||Caputo fractional derivative:4||weighted Sobolev spaces:3||Nonlinear stochastic partial differential equations:3||Sobolev spaces with weights:3||Weighted Sobolev regularity:3||Conic domains:3||Spacetime white noise:2||VMO coefficients:2||Hardy inequality:2||Maximal Lpregularity:2||Nonlocal elliptic equations:2||Integrodifferential equations:2||L2theory:2||Holder estimates:2||Weighted Lpestimate:2||Nonsmooth domain:2||Fractional Laplacian:2||C1 domains:2||Fractional diffusionwave equation:2||Angular domain:2||Equations of divergence type:2||BMO coefficients:2||Measurable coefficients:2||maximal Lpregularity:2||Stochastic heat equation:2||Pseudodifferential operator:2||Levy process:2||Lipschitz domains:2||Mixed weight:2||Corner singularity:2||Weighted Sobolev space:2||Nonsymmetric measurable kernels:2||Parabolic equation:2||Diffusion equation for jump process:1||stochastic reaction systems:1||Parabolic LittlewoodPaley inequality:1||martingale:1||Sobolev spaces:1||stochastic parabolic partial differential systems:1||reaction kinetics theory:1||Spacetime nonlocal equations:1||Stochastic CalderonZygmund theorem:1||stochastic Hormander condition:1||CalderonZygmund approach:1||Highorder operators:1||fundamental solution:1||FeffermanStein theorem:1||HardyLittlewood theorem:1||Nonlocal operator:1||Lpestimates:1||Integrodifferential operators:1||adaptive numerical method:1||Parabolic systems:1||parabolic equations:1||Timefractional equation:1||Green&apos:1||Muckenhoupt A(p) weights:1||nonstationary increment:1||spacetime fractional differential equation:1||Timedependent high order:1||Fractional time derivative:1||Lipschitz domain:1||weighted Sobolev space:1||Stochastic parabolic partial differential systems:1||Elliptic systems:1||variable coefficients:1||Boundary behavior:1||Elliptic partial differential systems:1||sharp function estimates.:1||Estimates of transition functions:1||embedding theorem:1||stochastic parabolic partial differential equations:1||algebra:1||Divergence form:1||Unbounded leading coefficients:1||Nonsmooth domains:1||s function estimate:1||Polygonal domain:1||moment closure approximation:1||Stochastic partial differential equations driven by Levy processes:1||asymptotic behavior:1||Parabolic BMO estimate:1||Besov space:1||Linear stochastic parabolic partial differential system:1||Levy noise:1||series (mathematics):1||SPDEs degenerating on the boundary:1||Interior Holder regularity:1||pseudodifferential operator:1||Degenerate parabolic equation:1||Variable coefficients:1||Parabolic Pseudodifferential equations:1||Lq(Lp)estimate:1||Subordinate Brownian motion:1||quasiBanach space:1||Holder regularity in time:1||wavelet:1||White noise:1||differential equations:1||reaction rate constants:1||degenerate parabolic equations:1||Sobolev space with weights:1||Stochastic parabolic equation:1||time fractional derivatives:1||Time degenerate parabolic equations:1||fractional diffusion:1||operators Nonlocal operators of arbitrary order:1||Parabolic equations of divergence type:1||divergence type:1||statistical analysis:1||Spacetime nonlocal operators:1||stochastic singular integral operator:1||stochastic partial differential equation:1||multidimensional spacetime white noise:1||Initialvalue problem:1||Instant smoothing property:1||Lq (Lp)theory:1||error estimation:1||parabolic partial differential systems:1||Lpestimate:1||Sobolev space:1||Parabolic Littlewood Paley inequality:1||nonlinear approximation:1||square root of Laplacian operator:1||Parabolic equations:1||Wp(gamma) theory:1||LittlewoodPaley inequality:1||master equation:1||Integrodifferential operator:1||Sobolev space theory:1||

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