Published March 8, 2010 | Version v1
Journal article Metadata-only

Conditional Lie-Baecklund symmetries and concavity of solutions to nonlinear parabolic equations

Creators

  • 1. Department of Mathematics, Northwest University, Xi'an 710069 (China)
  • 2. Center for Nonlinear Studies, Northwest University, Xi'an 710069 (China)
  • 3. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023 (China)
  • 4. Department of Mathematics, Northwest University, Xi'an, 710069 (China)
  • 5. Center for Nonlinear Studies, Northwest University, Xi'an, 710069 (China)

Description

In this paper, we study the relation between conditional Lie-Baecklund symmetries and the estimates for concavity (or convexity) and B-concavity (or B-convexity) of solutions to nonlinear parabolic equations. It is shown that the estimates for concavity and B-concavity of solutions are associated with the CLBSs of nonlinear parabolic equations. The estimates on concavity and B-concavity for the curve shortening equation, a fast diffusion model and a generalized p-Laplacian equation with source term are established.

Additional details

Identifiers

DOI
10.1063/1.3367051;

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
1212
Journal Issue
1
Journal Page Range
p. 219-230
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
1. international workshop on nonlinear and modern mathematical physics
Dates
15-21 Jul 2009
Place
Beijing (China)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41101507
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BAECKLUND TRANSFORMATION; FUNCTIONAL ANALYSIS; LAPLACIAN; LIE GROUPS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICS; SYMMETRY GROUPS; TRANSFORMATIONS

Optional Information

Notes
(c) 2010 American Institute of Physics