Maximum principles for a class of linear elliptic equations of even order

Cristian Paul Danet; Anita Mareno

doi:10.7153/mia-16-61

Maximum principles for a class of linear elliptic equations of even order

Cristian Paul Danet, Anita Mareno

School of Science, Engineering & Technology (Harrisburg)

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

3 Scopus citations

Abstract

In this paper we define several types of functions on the solution to a class of linear elliptic equations of even order. We establish that these functions satisfy a classical maximum principle. As a consequence we obtain uniqueness results and bounds on various quantities of interest.

Original language	English (US)
Pages (from-to)	809-822
Number of pages	14
Journal	Mathematical Inequalities and Applications
Volume	16
Issue number	3
DOIs	https://doi.org/10.7153/mia-16-61
State	Published - 2013

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.7153/mia-16-61

Cite this

@article{0b516b3315b341408295363bc83be39f,

title = "Maximum principles for a class of linear elliptic equations of even order",

abstract = "In this paper we define several types of functions on the solution to a class of linear elliptic equations of even order. We establish that these functions satisfy a classical maximum principle. As a consequence we obtain uniqueness results and bounds on various quantities of interest.",

author = "Danet, {Cristian Paul} and Anita Mareno",

year = "2013",

doi = "10.7153/mia-16-61",

language = "English (US)",

volume = "16",

pages = "809--822",

journal = "Mathematical Inequalities and Applications",

issn = "1331-4343",

publisher = "Element d.o.o.",

number = "3",

}

TY - JOUR

T1 - Maximum principles for a class of linear elliptic equations of even order

AU - Danet, Cristian Paul

AU - Mareno, Anita

PY - 2013

Y1 - 2013

N2 - In this paper we define several types of functions on the solution to a class of linear elliptic equations of even order. We establish that these functions satisfy a classical maximum principle. As a consequence we obtain uniqueness results and bounds on various quantities of interest.

AB - In this paper we define several types of functions on the solution to a class of linear elliptic equations of even order. We establish that these functions satisfy a classical maximum principle. As a consequence we obtain uniqueness results and bounds on various quantities of interest.

UR - http://www.scopus.com/inward/record.url?scp=84884267663&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884267663&partnerID=8YFLogxK

U2 - 10.7153/mia-16-61

DO - 10.7153/mia-16-61

M3 - Article

AN - SCOPUS:84884267663

SN - 1331-4343

VL - 16

SP - 809

EP - 822

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 3

ER -

Maximum principles for a class of linear elliptic equations of even order

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this