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13 papers · 1 filter
Uniform Integrability in Periodic Homogenization of Fully Nonlinear Equations
Sunghan Kim
This paper is devoted to the study of uniform - and -estimates for viscosity solutions to fully nonlinear, uniformly elliptic, periodic homogenizatio…
The relativistic quantum Boltzmann equation near equilibrium
Gi-Chan Bae, Jin Woo Jang, Seok-Bae Yun
The relativistic quantum Boltzmann equation (or the relativistic Uehling-Uhlenbeck equation) describes the dynamics of single-species fast-moving quantum particles. With the recent…
Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations
Sangdon Jin, Jinmyoung Seok
We study the nonrelativistic limit of solitary waves from Nonlinear Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson equations (NSP). It is known that the exi…
Higher integrability in the obstacle problem for the fast diffusion equation
Yumi Cho, Christoph Scheven
We prove local higher integrability of the spatial gradient for solutions to obstacle problems of porous medium type in the fast diffusion case . The result holds for the natu…
A kinetic description for the herding behavior in financial market
Hyeong-Ohk Bae, Seung-Yeon Cho, Jeongho Kim +1
As a continuation of the study of the herding model proposed in (Bae et al. in arXiv:1712.01085, 2017), we consider in this paper the derivation of the kinetic version of the herdi…
Regularity Results of the Thin Obstacle Problem for the -Laplacian
Sun-sig Byun, Ki-ahm Lee, Jehan Oh +1
We study thin obstacle problems involving the energy functional with -growth. We prove higher integrability and Hölder regularity for the gradient of minimizers of the thin o…