Estimates of Eigenvalues for a Partial Differential Equation
WU Ping
Abstract：This paper addresses the estimates of eigenvalues of a partial differential equation.We construct some test function and then use Rayleigh theorem to basic inequality.These estimates are that the (k+1)th eigenvalue is bounded from above by an amount depending on thefirstk eigenvalues and independent of the measure of the domain in which the problem is concerned.This kind of problem is significant in potential application to mechanics and physics.
Keywords：a partial differential equationeigenvalueestimates
Publication Date：2015-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 45-49 )