Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Woo, Kwan"'
We consider the one-dimensional Euler-Poisson system equipped with the Boltzmann relation and provide the exact asymptotic behavior of the peaked solitary wave solutions near the peak. This enables us to study the cold ion limit of the peaked solitar
Externí odkaz:
http://arxiv.org/abs/2409.08018
Autor:
Jung, Pilgyu, Woo, Kwan
We explore the higher integrability of Green's functions associated with the second-order elliptic equation $a^{ij}D_{ij}u + b^i D_iu = f$ in a bounded domain $\Omega \subset \mathbb{R}^d$, and establish a version of Aleksandrov's maximum principle.
Externí odkaz:
http://arxiv.org/abs/2408.16522
In this paper, we study different types of weighted Besov and Triebel-Lizorkin spaces with variable smoothness. The function spaces can be defined by means of the Littlewood-Paley theory in the field of Fourier analysis, while there are other norms a
Externí odkaz:
http://arxiv.org/abs/2309.01359
This paper considers traces at the initial time for solutions of evolution equations with local or non-local derivatives in vector-valued $L_p$ spaces with $A_p$ weight. To achieve this, we begin by introducing a generalized real interpolation method
Externí odkaz:
http://arxiv.org/abs/2309.00370
Autor:
Kim, Doyoon, Woo, Kwan
We establish trace and extension theorems for evolutionary equations with the Caputo fractional derivatives in (weighted) $L_p$ spaces. To achieve this, we identify weighted Sobolev and Besov spaces with mixed norms that accommodate solution spaces a
Externí odkaz:
http://arxiv.org/abs/2307.03087
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces
We present weighted Sobolev spaces and prove a trace theorem for the spaces. As an application, we discuss non-zero boundary value problems for parabolic equations. The weighted parabolic Sobolev spaces we consider are designed, in particular, for th
Externí odkaz:
http://arxiv.org/abs/2105.05131
We prove the Lp,q-solvability of parabolic equations in divergence form with full lower-order terms. The coefficients and non-homogeneous terms belong to mixed Lebesgue spaces with the lowest integrability conditions. In particular, the coefficients
Externí odkaz:
http://arxiv.org/abs/2007.01986
Publikováno v:
Stochastic Partial Differential Equations: Analysis & Computations; Mar2024, Vol. 12 Issue 1, p134-172, 39p
Publikováno v:
In Computers & Industrial Engineering January 2018 115:459-470
Autor:
Park, Chan-Pyoung, Lee, Jung-Jun, Kang, Seung-Kyun, Kim, Young-Cheon, Woo, Kwan-Sik, Jeon, Seung-Won, Kwon, Dongil
Publikováno v:
In Materials Science & Engineering A 5 January 2016 650:15-19