Second order elliptic equations in ℝd with piecewise continuous coefficients

Doyoon Kim

doi:10.1007/s11118-006-9034-0

Second order elliptic equations in ℝ^d with piecewise continuous coefficients

Doyoon Kim

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

The existence and uniqueness of solutions of second order elliptic differential equations in ℝ^d are proved. The coefficients of second order terms are allowed to have discontinuity at finitely many parallel hyper-planes in ℝ^d and the first derivatives of solutions can have jumps at the hyper-planes.

Original language	English
Pages (from-to)	189-212
Number of pages	24
Journal	Potential Analysis
Volume	26
Issue number	2
DOIs	https://doi.org/10.1007/s11118-006-9034-0
Publication status	Published - 2007 Mar
Externally published	Yes

Keywords

Apriori estimate
Discontinuous coefficients
Elliptic equation
Multiplier

ASJC Scopus subject areas

Analysis

Access to Document

10.1007/s11118-006-9034-0

Cite this

@article{588a82ee9852426ba37f1f79cccb4017,

title = "Second order elliptic equations in ℝd with piecewise continuous coefficients",

abstract = "The existence and uniqueness of solutions of second order elliptic differential equations in ℝd are proved. The coefficients of second order terms are allowed to have discontinuity at finitely many parallel hyper-planes in ℝd and the first derivatives of solutions can have jumps at the hyper-planes.",

keywords = "Apriori estimate, Discontinuous coefficients, Elliptic equation, Multiplier",

author = "Doyoon Kim",

year = "2007",

month = mar,

doi = "10.1007/s11118-006-9034-0",

language = "English",

volume = "26",

pages = "189--212",

journal = "Potential Analysis",

issn = "0926-2601",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Second order elliptic equations in ℝd with piecewise continuous coefficients

AU - Kim, Doyoon

PY - 2007/3

Y1 - 2007/3

N2 - The existence and uniqueness of solutions of second order elliptic differential equations in ℝd are proved. The coefficients of second order terms are allowed to have discontinuity at finitely many parallel hyper-planes in ℝd and the first derivatives of solutions can have jumps at the hyper-planes.

AB - The existence and uniqueness of solutions of second order elliptic differential equations in ℝd are proved. The coefficients of second order terms are allowed to have discontinuity at finitely many parallel hyper-planes in ℝd and the first derivatives of solutions can have jumps at the hyper-planes.

KW - Apriori estimate

KW - Discontinuous coefficients

KW - Elliptic equation

KW - Multiplier

UR - http://www.scopus.com/inward/record.url?scp=33846602643&partnerID=8YFLogxK

U2 - 10.1007/s11118-006-9034-0

DO - 10.1007/s11118-006-9034-0

M3 - Article

AN - SCOPUS:33846602643

SN - 0926-2601

VL - 26

SP - 189

EP - 212

JO - Potential Analysis

JF - Potential Analysis

IS - 2

ER -