Výsledky vyhledávání - "Dae Hyeon Pahk"

Spectral properties for layer potentials associated to the Stokes equation in Lipschitz domains

Publikováno v: manuscripta mathematica. 130:359-373

In this paper, we consider the spectral properties of the double layer potentials K and ${\tilde{K}}$ related to the traction boundary value problem and the slip boundary value problem, respectively, of the Stokes equations in a bounded Lipschitz d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f81b2a43f8bcde7bd5271a470da34a3c
https://doi.org/10.1007/s00229-009-0292-1

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Existence of nodal solutions of nonlinear elliptic equations

Autor: Hyeon Ock Choi, Soohyun Bae, Dae Hyeon Pahk

Publikováno v: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 137:1135-1155

We establish that, for -\Delta u=\lambda|x|^\mu|u|^{q-2}u+|x|^\nu|u|^{p-2}u \mu,\nu>-2,\quad\max\bigg\{2,\frac{n+2\mu+2}{n-2}\bigg\}

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https://doi.org/10.1017/s0308210505000727

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ANALYSIS OF A MESHFREE METHOD FOR THE COMPRESSIBLE EULER EQUATIONS

Autor: Yongsik Kim, Dae-Hyeon Pahk

Publikováno v: Journal of the Korean Mathematical Society. 43:1081-1098

Mathematical analysis is made on a mesh free method for the compressible Euler equations. In particular, the Moving Least Square Reproducing Kernel (MLSRK) method is employed for space approximation. With the backward-Euler method used for time discr

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https://doi.org/10.4134/jkms.2006.43.5.1081

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Infinite Multiplicity of Positive Entire Solutions for a Semilinear Elliptic Equation

Autor: Tong Keun Chang, Dae Hyeon Pahk, Soohyun Bae

Publikováno v: Journal of Differential Equations. 181:367-387

We establish that the elliptic equation Δu+K(x)up+μf(x)=0 in Rn has infinitely many positive entire solutions for small μ⩾0 under suitable conditions on K, p, and f.

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https://doi.org/10.1006/jdeq.2001.4079

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Nonexistence of nodal solutions of nonlinear elliptic equations

Autor: Dae Hyeon Pahk, Soohyun Bae

Publikováno v: Nonlinear Analysis: Theory, Methods & Applications. 46:1111-1122

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5c1ea5762e8b1c37510aa391d8b8e9ec
https://doi.org/10.1016/s0362-546x(00)00162-0

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On the solvability of convolution equations in Beurling's distributions

Autor: Byung Keun Sohn, Dae Hyeon Pahk

Publikováno v: Publications of the Research Institute for Mathematical Sciences. 32:157-162

Let &'w be the space of Beurling's generalized distributions on En and %w the spaces of generalized distributions which has compact support We show that, for S e %w, S * &w = & w is equivalent to the following: Every generalized distribution u e %w w

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https://doi.org/10.2977/prims/1195163183

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Regularity for solutions of a certain elliptic equation near a nonsmooth interface

Autor: Jin Keun Seo, Dae Hyeon Pahk

Publikováno v: Nonlinear Analysis: Theory, Methods & Applications. 23:949-952

Definition. A bounded open connected domain D C R” is called a Lipschitz domain if for each P E aD there is an open, right circular, double truncated cylinder Z(P, r) centred at P, with radius equal to r, whose bottom and top are at a positive dist

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https://doi.org/10.1016/0362-546x(94)90131-7

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Relation between Solvability and a Regularity of Convolution Operators in K′p, p>1

Autor: Dae Hyeon Pahk, B.K. Sohn

Publikováno v: Journal of Mathematical Analysis and Applications. 185(1):207-214

Let K ′p be the space of distributions on Rn which grow no faster than ek|x|p for some k>0 and let O ′c( K ′p; K ′p) be the space of convolution operators in K ′p. We show that, for S∈ o ′c( K ′p; K ′p), S ∗ K ′p= K ′p is equi

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Convolution and Fourier Transform over the Spaces ${{\cal K}^\prime_{p,k}}$, $p\gt 1$

Autor: Byung Keun Sohn, Dae Hyeon Pahk

Publikováno v: Rocky Mountain J. Math. 35, no. 2 (2005), 681-694

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http://projecteuclid.org/euclid.rmjm/1181069754

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Analytic Representation of Generalized Tempered Distributions of Exponential Growth by Wavelets

Autor: Dae Hyeon Pahk, Byung Keun Sohn

Publikováno v: Tsukuba J. Math. 27, no. 1 (2003), 47-56

The analytic representation of the generalized tempered distributions of e MðkxÞ -growth with restricted order, K r0 M ðRÞ, is given in terms of series of analytic wavelets. These series converge uni- formly on compact subsets of the upper and lo

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https://doi.org/10.21099/tkbjm/1496164559

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