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====== Publications and Preprints of doctoral students ====== | ====== Publications and Preprints of doctoral students ====== | ||
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+ | ===== 2024 ===== | ||
+ | |||
+ | < | ||
+ | <div class=" | ||
+ | |||
+ | ===== 2023 ===== | ||
+ | |||
+ | < | ||
+ | <div class=" | ||
+ | |||
+ | * Moritz Kassmann, **Solveig Hepp**\\ //The divergence theorem and nonlocal counterparts// | ||
+ | * Sebastian Herr, **Beomjong Kwak**\\ // | ||
+ | |||
+ | ===== 2022 ===== | ||
+ | |||
+ | < | ||
+ | <div class=" | ||
+ | |||
+ | * **Florian Grube, Thorben Hensiek**\\ //Maximum principle for stable operators// \\ [[https:// | ||
+ | |||
+ | * **Sebastian Grube**\\ //Strong solutions to McKean-Vlasov SDEs with coefficients of Nemytskii-type: | ||
+ | |||
+ | * Jamil Chaker, **Minhyun Kim**\\ // | ||
+ | |||
+ | * Jamil Chaker, **Minhyun Kim, Marvin Weidner**\\ //Harnack inequality for nonlocal problems with non-standard growth// \\ [[ https:// | ||
+ | |||
+ | * **Minhyun Kim**, Ki-Ahm Lee, Se-Chan Lee\\ //The Wiener criterion for nonlocal Dirichlet problems// \\ [[ https:// | ||
+ | |||
+ | * **Haesung Lee**, Wilhelm Stannat, Gerald Trutnau\\ //Analytic theory of Itˆo-stochastic differential equa- | ||
+ | tions with non-smooth coefficients// | ||
+ | |||
+ | * Anna Kh. Balci, Sun-Sig Byun, Lars Diening, **Ho-Sik Lee**\\ //Global Maximal Regularity for Equations with Degenerate Weights// \\ [[ https:// | ||
+ | |||
+ | * **Zhengyan Wu**, Rangrang Zhang\\ //Large Deviations For Dean-Kawasaki Equation With Singular Non-Local Interactions// | ||
+ | |||
+ | * Likun Wang, **Zhengyan Wu**, Rangrang Zhang\\ // | ||
+ | |||
+ | |||
+ | |||
+ | ===== 2021 ===== | ||
+ | |||
+ | * **Sungsoo Byun**, **Markus Ebke**, Seong-Mi Seo\\ //Wronskian structures of planar symplectic ensembles // \\ Nonlinearity, | ||
+ | |||
+ | * Cho, Yonggeun, **Seokchang Hong**\\ //Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge// \\ [[ https:// | ||
+ | |||
+ | * **Sung-Soo Byun**, **Markus Ebke**\\ //Universal scaling limits of the symplectic elliptic Ginibre ensemble// \\ Random Matrices: Theory and Applications, | ||
+ | |||
+ | * **Sung-Soo Byun**, Seung-Yeop Lee, Meng Yang\\ // | ||
+ | | ||
+ | * **Sung-Soo Byun**, Nam-Gyu Kang, Ji Oon Lee, Jinyeop Lee\\ //Real eigenvalues of elliptic random matrices// \\ [[ https:// | ||
+ | |||
+ | * **Sung-Soo Byun**, Yacin Ameur\\ // | ||
+ | |||
+ | * Gernot Akemann, **Sung-Soo Byun**, Nam-Gyu Kang\\ //Scaling limits of planar symplectic ensembles// \\ [[ https:// | ||
+ | |||
+ | * **Minhyun Kim**, Ki-Ahm Lee\\ // | ||
+ | |||
+ | |||
+ | * **Jongmyeong Kim**, **Minhyun Kim**, Ki-Ahm Lee\\ //Harnack inequality for nonlocal operators on manifolds with nonnegative curvature// \\ [[ https:// | ||
+ | |||
+ | * Jamil Chaker, **Minhyun Kim, Marvin Weidner**\\ //The concentration-compactness principle for the nonlocal anisotropic p-Laplacian of mixed order// \\ [[ https:// | ||
+ | |||
+ | |||
+ | * Jamil Chaker, **Minhyun Kim**\\ //Local regularity for nonlocal equations with variable exponents// \\ [[ https:// | ||
+ | |||
+ | |||
+ | * **Jongmyeong Kim**, **Minhyun Kim**, Ki-Ahm Lee\\ //Harnack inequality for fractional Laplacian-type operators on hyperbolic spaces// \\ [[ https:// | ||
+ | |||
+ | * Moritz Kassmann, **Minhyun Kim**, Ki-Ahm Lee\\ //Robust near-diagonal Green function estimates// \\ [[ https:// | ||
+ | |||
+ | * **Minhyun Kim**, Taehun Lee\\ //The discrete logarithmic Minkowski problem for the electrostatic p-capacity// | ||
+ | |||
+ | * Jamil Chaker, **Minhyun Kim, Marvin Weidner**\\ // | ||
+ | |||
+ | * Sun-Sig Byun, **Ho-Sik Lee**\\ // | ||
+ | |||
+ | * Sun-Sig Byun, Namkyeong Cho, **Ho-Sik Lee**\\ //Maximal Differentiability for a General Class of Quasilinear Elliptic Equations with Right-hand Side Measures// \\ [[ https:// | ||
+ | |||
+ | * Sun-Sig Byun, **Ho-Sik Lee**\\ //Gradient Estimates of ω-Minimizers to Double Phase Variational Problems with Variable Exponents // \\ [[ https:// | ||
+ | |||
+ | * Sumiya Baasandorj, Sun-Sig Byun, **Ho-Sik Lee**\\ //Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth // \\ [[ https:// | ||
+ | |||
+ | * **Sebastian Grube**\\ //Strong solutions to McKean-Vlasov SDEs with coefficients of Nemytskii-type// | ||
+ | |||
+ | * **Shayan Alikhanloo**, | ||
+ | |||
+ | * **Marco Rehmeier**, Andre Schenke\\ // | ||
+ | |||
+ | * Gernot Akemann, **Markus Ebke**, Iván Parra\\ // | ||
===== 2020 ===== | ===== 2020 ===== | ||
- | | + | |
+ | |||
+ | * **Shayan Alikhanloo**, | ||
+ | |||
+ | * **Kihyun Kim**, **Robert Schippa**\\ //Low regularity well-posedness for generalized Benjamin-Ono equations on the circle// \\ [[https:// | ||
+ | |||
+ | * **Minhyun Kim**, K.-A. Lee\\ // | ||
+ | |Link to Publication]]\\ | ||
+ | |||
+ | * Michael Hinz, **Melissa Meinert**\\ // | ||
+ | | ||
+ | * Gernot Akemann, **Sung-Soo Byun**, Nam-Gyu Kang\\ //A non-hermitian generalisation of Marchenko-Pastur distribution: | ||
+ | |||
* Yongguen Cho, **Seokchang Hong**\\ //Almost critical regularity of non-abelian Chern-Simons-Higgs system in the Lorenz gauge// \\ [[https:// | * Yongguen Cho, **Seokchang Hong**\\ //Almost critical regularity of non-abelian Chern-Simons-Higgs system in the Lorenz gauge// \\ [[https:// | ||
+ | |||
+ | * **Seokchang Hong**\\ //On the scaling critical regularity of the Yang-Mills-Higgs and the Yang-Mills-Dirac system in the Lorenz gauge// \\ [[https:// | ||
+ | |||
+ | |||
+ | * **Seokchang Hong**\\ //On the scaling critical regularity of the Yang-Mills system in the Lorenz gauge// \\ [[https:// | ||
+ | |||
+ | * Sung-Yeal Ha, Shi Jin, **Jinwook Jung**\\ //Local sensitivity analysis for the Kuramoto-Daido model with random inputs in a large coupling regime // \\ to appear: SIAM Journal on Mathematical Analysis | ||
* Dohyun Kim, **Jeongho Kim**\\ // | * Dohyun Kim, **Jeongho Kim**\\ // | ||
+ | |||
+ | * **Kihyun Kim**, Soonsik Kwon \\ // | ||
+ | |||
+ | * **Kihyun Kim**, Soonsik Kwon, Sung-Jin Oh \\ //Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern-Simons-Schrödinger equation // \\ [[https:// | ||
+ | |||
+ | * **Haesung Lee**, Wilhelm Stannat, Gerald Trutnau \\ //Analytic theory of Itô-stochastic differential equations with non-smooth coefficients // \\ [[https:// | ||
+ | |||
+ | * **Haesung Lee**, Gerald Trutnau \\ // | ||
+ | |||
+ | * Sun-Sig Byun, **Ho-Sik Lee** \\ // | ||
+ | |||
+ | * **Siyu Liang**, Ping Zhang & Rongchan Zhu \\ //Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations // \\ [[http:// | ||
+ | |||
+ | * **Chengcheng Ling**, Longjie Xie \\ //Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces// \\ [[https:// | ||
+ | |||
+ | * Michael Hinz, Dorina Koch, **Melissa Meinert** \\ //Sobolev spaces and calculus of variations on fractals // \\ Published: Probability and Mathematical Physics on Fractals \\ [[https:// | ||
* Mario Kieburg, **Adam Mielke**, M. Rud, K. Splittorff\\ //Universal distributions from non-Hermitian Perturbation of Zero-Modes// | * Mario Kieburg, **Adam Mielke**, M. Rud, K. Splittorff\\ //Universal distributions from non-Hermitian Perturbation of Zero-Modes// | ||
- | * Gernot Akemann, Michael Baake, Nayden Chakarov, Oliver Krüger, **Adam Mielke**, Meinolf Ottensmann, Rebecca Werdehausen\\ // | + | * Gernot Akemann, Michael Baake, Nayden Chakarov, Oliver Krüger, **Adam Mielke**, Meinolf Ottensmann, Rebecca Werdehausen\\ // |
+ | |||
+ | * **Anna Muranova**\\ //The effective impedances of infinite ladder networks and Dirichlet problem on graphs// \\ [[https:// | ||
+ | |||
+ | * **Marco Rehmeier**\\ // | ||
+ | |||
+ | * **Andre Schenke**\\ //The Stochastic Tamed MHD Equations -- Existence, Uniqueness and Invariant Measures// \\ [[https:// | ||
+ | |||
+ | * **Andre Schenke**\\ //The Tamed MHD Equations// \\ [[https:// | ||
+ | |||
+ | * Shinya Kinoshita, **Robert Schippa**\\ // | ||
+ | |||
+ | |||
+ | * **Robert Schippa** \\ //On short-time bilinear Strichartz estimates and applications to the Shrira equation// \\ Published: Nonlinear Analysis | ||
- | * Shinya Kinoshita, **Robert Schippa**\\ // | ||
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- | * Gernot Akemann, **Sungsoo | + | * Gernot Akemann, **Sung-Soo |
* **Soobin Cho**, Panki Kim\\ //Estimates on the tail probabilities of subordinators and applications to general time fractional equations// \\ [[https:// | * **Soobin Cho**, Panki Kim\\ //Estimates on the tail probabilities of subordinators and applications to general time fractional equations// \\ [[https:// | ||
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* Young-Pil Choi, **Jinwook Jung**\\ // | * Young-Pil Choi, **Jinwook Jung**\\ // | ||
- | * Seung-Yeal Ha, **Jinwook Jung**, Michael Röckner \\ // | + | * Seung-Yeal Ha, **Jinwook Jung**, Michael Röckner \\ // |
* Seung-Yeal Ha, **Jinwook Jung**, **Peter Kuchling**\\ //Emergence of anomalous flocking in the fractional Cucker-Smale model, Discrete and Continuous Dynamical Systems-A // \\ [[https:// | * Seung-Yeal Ha, **Jinwook Jung**, **Peter Kuchling**\\ //Emergence of anomalous flocking in the fractional Cucker-Smale model, Discrete and Continuous Dynamical Systems-A // \\ [[https:// | ||
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* **Kihyun Kim**, Soonsik Kwon \\ // | * **Kihyun Kim**, Soonsik Kwon \\ // | ||
+ | |||
+ | * **Minhyun Kim**, Panki Kim, **Jaehun Lee**, Ki-Ahm Lee\\ //Boundary regularity for nonlocal operators with kernels of variable orders// \\ [[https:// | ||
* **Haesung Lee**, Gerald Trutnau \\ // | * **Haesung Lee**, Gerald Trutnau \\ // | ||
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* Michael Hinz, **Melissa Meinert** \\ //On the viscous Burgers equation on metric graphs and fractals // \\ to appear in J. Fractal Geometry \\ [[https:// | * Michael Hinz, **Melissa Meinert** \\ //On the viscous Burgers equation on metric graphs and fractals // \\ to appear in J. Fractal Geometry \\ [[https:// | ||
- | |||
- | * Michael Hinz, Dorina Koch, **Melissa Meinert** \\ //Sobolev spaces and calculus of variations on fractals // \\ to appear in the proceedings of the 6th Cornell Conference on Analysis, Probability and Mathematical Physics on Fractals \\ [[https:// | ||
- | |||
* Gernot Akemann, Mario Kieburg, **Adam Mielke**, Pedro Vidal \\ // | * Gernot Akemann, Mario Kieburg, **Adam Mielke**, Pedro Vidal \\ // | ||
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* **Robert Schippa** \\ //On Strichartz estimates from decoupling and applications// | * **Robert Schippa** \\ //On Strichartz estimates from decoupling and applications// | ||
- | * **Robert Schippa** \\ //On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations// \\ [[https://arxiv.org/abs/1903.02027|Link to Preprint]] | + | * **Robert Schippa** \\ //On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations// \\ [[https://www.aimsciences.org/article/ |
* **Robert Schippa** \\ //On the existence of periodic solutions to the modified Korteweg-de Vries equation below H1/2(T)// \\ Published: Journal of Evolution Equations [[https:// | * **Robert Schippa** \\ //On the existence of periodic solutions to the modified Korteweg-de Vries equation below H1/2(T)// \\ Published: Journal of Evolution Equations [[https:// | ||
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* Seung-Yeal Ha, **Jeongho Kim**, Jinyeong Park, Xiongtao Zhang \\ //Uniform stability and mean-field limit for the augmented | * Seung-Yeal Ha, **Jeongho Kim**, Jinyeong Park, Xiongtao Zhang \\ //Uniform stability and mean-field limit for the augmented | ||
Kuramoto model// \\ Networks and Heterogeneous Media \\ | Kuramoto model// \\ Networks and Heterogeneous Media \\ | ||
- | |||
- | * **Minhyun Kim**, Panki Kim, **Jaehun Lee**, Ki-Ahm Lee\\ //Boundary regularity for nonlocal operators with kernels of variable orders// \\ to appear in Journal of Functional Analysis\\ [[https:// | ||
- | |||
- | * **Minhyun Kim**, K.-A. Lee\\ // | ||
* Panki Kim, **Jaehun Lee**\\ //Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel// \\ Stochastic Processes and their Applications\\ [[https:// | * Panki Kim, **Jaehun Lee**\\ //Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel// \\ Stochastic Processes and their Applications\\ [[https:// | ||
| | ||
* **Marco Rehmeier** \\ //On Cherny' | * **Marco Rehmeier** \\ //On Cherny' | ||
- | |||
- | * **Robert Schippa** \\ //On shorttime bilinear Strichartz estimates and applications to improve the energy method // \\ [[https:// | ||
* Sebastian Herr, **Changhun Yang** \\ //Critical well-posedness and scattering results for fractional Hartree-type equations// \\ Differential Integral Equations \\ [[https:// | * Sebastian Herr, **Changhun Yang** \\ //Critical well-posedness and scattering results for fractional Hartree-type equations// \\ Differential Integral Equations \\ [[https:// | ||
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* Michael Hinz, **Seunghyun Kang**, Jun Masamune \\ // | * Michael Hinz, **Seunghyun Kang**, Jun Masamune \\ // | ||
- | * **Robert Schippa** \\ //On a priori estimates and existence of periodic solutions to the modified Benjamin-Ono equation below H^{1/ | + | * **Robert Schippa** \\ //On a priori estimates and existence of periodic solutions to the modified Benjamin-Ono equation below H^{1/ |
* **Robert Schippa** \\ // | * **Robert Schippa** \\ // |