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Maximum principle for subsolutions of degenerate elliptic operators

Technical Report:

Abstract

The maximum principle for classical and viscosity subsolutions of a general degenerate elliptic linear second order operator with second and first order terms alone on bounded open subsets is proved under various assumptions on the coefficients. A general sufficient condition is given when the coefficients are continuous. A counter example is also given to show that the maximum principle is not valid even for classical subsolutions of degenerate elliptic operators in general. (author). 3 refs.
Authors:
Ramaswamy, M; [1]  Ramaswamy, S
  1. T.I.F.R. Center, Bangalore (India). School of Mathematics
Publication Date:
Sep 01, 1994
Product Type:
Technical Report
Report Number:
IC-94/266
Reference Number:
SCA: 661100; PA: AIX-26:012158; EDB-95:031941; SN: 95001324635
Resource Relation:
Other Information: PBD: Sep 1994
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; PARTIAL DIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; FUNCTIONS; VISCOSITY; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10112371
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE95613373; TRN: XA9438432012158
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
10 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Ramaswamy, M, and Ramaswamy, S. Maximum principle for subsolutions of degenerate elliptic operators. IAEA: N. p., 1994. Web.
Ramaswamy, M, & Ramaswamy, S. Maximum principle for subsolutions of degenerate elliptic operators. IAEA.
Ramaswamy, M, and Ramaswamy, S. 1994. "Maximum principle for subsolutions of degenerate elliptic operators." IAEA.
@misc{etde_10112371,
title = {Maximum principle for subsolutions of degenerate elliptic operators}
author = {Ramaswamy, M, and Ramaswamy, S}
abstractNote = {The maximum principle for classical and viscosity subsolutions of a general degenerate elliptic linear second order operator with second and first order terms alone on bounded open subsets is proved under various assumptions on the coefficients. A general sufficient condition is given when the coefficients are continuous. A counter example is also given to show that the maximum principle is not valid even for classical subsolutions of degenerate elliptic operators in general. (author). 3 refs.}
place = {IAEA}
year = {1994}
month = {Sep}
}